<table><caption>**Table B1.** The results in this Table refer to the $b_X$ and $b_{SZ}$ distributions at redshift $z = 0$ and for the AGN runs. The value of the mean $\mu$ and standard deviation $\sigma$ estimated both from the *Data* and from a Gaussian *fit* of the bias distributions. Moreover, the bootstrap error is written. All these informations are reported for both methods, the *analytical* fitting and the *numerical* derivative one.</caption><thead><tr><th rowspan="2"></th><th rowspan="2"></th><th colspan="3">Analytical</th><th colspan="3">Numerical</th></tr><tr><th>μ</th><th>σ</th><th>err<sub>b</sub></th><th>μ</th><th>σ</th><th>err<sub>b</sub></th></tr></thead><tbody><tr><td rowspan="4">All</td><td rowspan="2">b<sub>X</sub></td><td>Data</td><td>0.09</td><td>0.23</td><td rowspan="2">0.01</td><td>0.13</td><td>0.26</td><td rowspan="2">0.02</td></tr><tr><td>Fit</td><td>0.12</td><td>0.20</td><td>0.13</td><td>0.22</td></tr><tr><td rowspan="2">b<sub>SZ</sub></td><td>Data</td><td>0.21</td><td>0.18</td><td rowspan="2">0.01</td><td>0.19</td><td>0.26</td><td rowspan="2">0.02</td></tr><tr><td>Fit</td><td>0.21</td><td>0.17</td><td>0.17</td><td>0.22</td></tr><tr><td rowspan="4">Rel</td><td rowspan="2">b<sub>X</sub></td><td>Data</td><td>0.08</td><td>0.13</td><td rowspan="2">0.01</td><td>0.09</td><td>0.15</td><td rowspan="2">0.01</td></tr><tr><td>Fit</td><td>0.09</td><td>0.15</td><td>0.11</td><td>0.18</td></tr><tr><td rowspan="2">b<sub>SZ</sub></td><td>Data</td><td>0.19</td><td>0.12</td><td rowspan="2">0.01</td><td>0.13</td><td>0.15</td><td rowspan="2">0.01</td></tr><tr><td>Fit</td><td>0.19</td><td>0.15</td><td>0.14</td><td>0.17</td></tr><tr><td rowspan="4">Dis</td><td rowspan="2">b<sub>X</sub></td><td>Data</td><td>-0.03</td><td>0.40</td><td rowspan="2">0.06</td><td>0.12</td><td>0.44</td><td rowspan="2">0.07</td></tr><tr><td>Fit</td><td>0.12</td><td>0.34</td><td>0.10</td><td>0.32</td></tr><tr><td rowspan="2">b<sub>SZ</sub></td><td>Data</td><td>0.19</td><td>0.30</td><td rowspan="2">0.05</td><td>0.21</td><td>0.38</td><td rowspan="2">0.06</td></tr><tr><td>Fit</td><td>0.12</td><td>0.34</td><td>0.11</td><td>0.37</td></tr></tbody></table>

There should not be any difference between the results obtained with $\rho_g$ and those obtained with $\mu m_p n_e$, because they should be interchangeable quantities. However, we find that this relation sometime is not satisfied, and probably for this reason we have different biases for the electron and for the gas density. The gas density $\rho_g$ in the MUSIC simulations is computed as the total gas mass in the spherical shell divided by the shell volume. The numerical electron density (in cm$^{-3}$) is evaluated from the gas density using

$$n_e(r) = N_e \rho_g(r) \left( \frac{1 - Z - Y_{\text{He}}}{m_p} \right). \qquad (B1)$$

$N_e$ is the fraction of free electrons per hydrogen particle, Z is the metallicity, $Y_{\text{He}}$ is the nuclear helium concentration, and $m_p$ is the proton mass (Sembolini et al. 2013). The numerical electron density takes into account the local distribution of electrons and gas particles, if the gas is completely ionized, then we can relate the electron and gas density using

$$\rho_g(r) = 1.8 \mu m_p n_e(r) \qquad (B2)$$

<figure><img src="image_17.png" /><figcaption>**Figure B2.** The fraction of the gas density and numerical electron density at $R_{500}$ is represented for each cluster in the AGN flavour at $z = 0$. The relaxed, disturbed, and intermediate clusters are represented in magenta diamonds, blue squares, and black circles, respectively. The grey line is the expected value of 1.8.</figcaption></figure>

where $\mu$, the mean molecular weight of electrons, is 0.59 (Ettori et al. 2013). We find that this approximation does not hold in the outskirts of the cluster, where the contribution of non-thermal motions, like bulk motions or turbulence, starts to be important (see Section 6.4). Moreover, for the same reason, we find that some disturbed and intermediate clusters do not follow this relation either. We show this behaviour in Fig. B2, where the ratio $\rho_g/\mu m_p n_e$ at $R_{500}$ for each cluster is represented. From the Figure, we see that this relation is valid mostly for the relaxed clusters, in magenta diamonds. While in Fig. B2 we show only the example of AGN at $z = 0$, this happens for all redshifts and flavours.

## APPENDIX C: MASS BIAS RESULTS

We present in Table C1, the HE mass biases for all $z$ and for all flavours, using only the reliable fits from the analytical fitting method.
<table><caption>**Table B1.** The results in this Table refer to the $b_X$ and $b_{SZ}$ distributions at redshift $z = 0$ and for the AGN runs. The value of the mean $\mu$ and standard deviation $\sigma$ estimated both from the *Data* and from a Gaussian fit of the bias distributions. Moreover, the bootstrap error is written. All these informations are reported for both methods, the *analytical* fitting and the *numerical* derivative one.</caption><thead><tr><th rowspan="2"></th><th rowspan="2"></th><th colspan="3">Analytical</th><th colspan="3">Numerical</th></tr><tr><th>μ</th><th>σ</th><th>err<sub>b</sub></th><th>μ</th><th>σ</th><th>err<sub>b</sub></th></tr></thead><tbody><tr><td rowspan="4">All</td><td rowspan="2">b<sub>X</sub></td><td>Data</td><td>0.09</td><td>0.23</td><td rowspan="2">0.01</td><td>0.13</td><td>0.26</td><td rowspan="2">0.02</td></tr><tr><td>Fit</td><td>0.12</td><td>0.20</td><td>0.13</td><td>0.22</td></tr><tr><td rowspan="2">b<sub>SZ</sub></td><td>Data</td><td>0.21</td><td>0.18</td><td rowspan="2">0.01</td><td>0.19</td><td>0.26</td><td rowspan="2">0.02</td></tr><tr><td>Fit</td><td>0.21</td><td>0.17</td><td>0.17</td><td>0.22</td></tr><tr><td rowspan="4">Rel</td><td rowspan="2">b<sub>X</sub></td><td>Data</td><td>0.08</td><td>0.13</td><td rowspan="2">0.01</td><td>0.09</td><td>0.15</td><td rowspan="2">0.01</td></tr><tr><td>Fit</td><td>0.09</td><td>0.15</td><td>0.11</td><td>0.18</td></tr><tr><td rowspan="2">b<sub>SZ</sub></td><td>Data</td><td>0.19</td><td>0.12</td><td rowspan="2">0.01</td><td>0.13</td><td>0.15</td><td rowspan="2">0.01</td></tr><tr><td>Fit</td><td>0.19</td><td>0.15</td><td>0.14</td><td>0.17</td></tr><tr><td rowspan="4">Dis</td><td rowspan="2">b<sub>X</sub></td><td>Data</td><td>-0.03</td><td>0.40</td><td rowspan="2">0.06</td><td>0.12</td><td>0.44</td><td rowspan="2">0.07</td></tr><tr><td>Fit</td><td>0.12</td><td>0.34</td><td>0.10</td><td>0.32</td></tr><tr><td rowspan="2">b<sub>SZ</sub></td><td>Data</td><td>0.19</td><td>0.30</td><td rowspan="2">0.05</td><td>0.21</td><td>0.38</td><td rowspan="2">0.06</td></tr><tr><td>Fit</td><td>0.12</td><td>0.34</td><td>0.11</td><td>0.37</td></tr></tbody></table>

There should not be any difference between the results obtained with $\rho_g$ and those obtained with $\mu m_p n_e$, because they should be interchangeable quantities. However, we find that this relation sometime is not satisfied, and probably for this reason we have different biases for the electron and for the gas density. The gas density $\rho_g$ in the MUSIC simulations is computed as the total gas mass in the spherical shell divided by the shell volume. The numerical electron density (in cm$^{-3}$) is evaluated from the gas density using

$$n_e(r) = N_e \rho_g(r) \left( \frac{1 - Z - Y_{\text{He}}}{m_p} \right). \qquad (B1)$$

$N_e$ is the fraction of free electrons per hydrogen particle, Z is the metallicity, $Y_{\text{He}}$ is the nuclear helium concentration, and $m_p$ is the proton mass (Sembolini et al. 2013). The numerical electron density takes into account the local distribution of electrons and gas particles, if the gas is completely ionized, then we can relate the electron and gas density using

$$\rho_g(r) = 1.8 \mu m_p n_e(r) \qquad (B2)$$

<figure><img src="image_18.png" /><figcaption>**Figure B2.** The fraction of the gas density and numerical electron density at $R_{500}$ is represented for each cluster in the AGN flavour at $z = 0$. The relaxed, disturbed, and intermediate clusters are represented in magenta diamonds, blue squares, and black circles, respectively. The grey line is the expected value of 1.8.</figcaption></figure>

where $\mu$, the mean molecular weight of electrons, is 0.59 (Ettori et al. 2013). We find that this approximation does not hold in the outskirts of the cluster, where the contribution of non-thermal motions, like bulk motions or turbulence, starts to be important (see Section 6.4). Moreover, for the same reason, we find that some disturbed and intermediate clusters do not follow this relation either. We show this behaviour in Fig. B2, where the ratio $\rho_g/\mu m_p n_e$ at $R_{500}$ for each cluster is represented. From the Figure, we see that this relation is valid mostly for the relaxed clusters, in magenta diamonds. While in Fig. B2 we show only the example of AGN at $z = 0$, this happens for all redshifts and flavours.

## APPENDIX C: MASS BIAS RESULTS

We present in Table C1, the HE mass biases for all $z$ and for all flavours, using only the reliable fits from the analytical fitting method.
<table><caption>**Table C1.** A compilation of the HE mass bias estimates $b_{SZ}$ and $b_X$ and their corresponding corrected ones (at the bottom part of the Table) computed at $R_{500}$ for clusters with reliable fits to the analytical profiles in the MUSIC sample, for different redshifts (first column). The biases are listed taking into account All the clusters and only the Relaxed or Disturbed ones. The results for the three AGN, CSF, and NR simulation flavours are listed as median values with 16th and 84th percentile errors.</caption><thead><tr><th rowspan="2">z</th><th rowspan="2">Clusters</th><th colspan="2">AGN</th><th colspan="2">CSF</th><th colspan="2">NR</th></tr><tr><th>b<sub>SZ</sub></th><th>b<sub>X</sub></th><th>b<sub>SZ</sub></th><th>b<sub>X</sub></th><th>b<sub>SZ</sub></th><th>b<sub>X</sub></th></tr></thead><tbody><tr><td rowspan="3">0.0</td><td>All</td><td>0.23<sup>+0.14</sup><sub>-0.09</sub></td><td>0.14<sup>+0.11</sup><sub>-0.13</sub></td><td>0.26<sup>+0.12</sup><sub>-0.1</sub></td><td>0.14<sup>+0.16</sup><sub>-0.11</sub></td><td>0.27<sup>+0.15</sup><sub>-0.11</sub></td><td>0.15<sup>+0.14</sup><sub>-0.13</sub></td></tr><tr><td>Rel</td><td>0.19<sup>+0.09</sup><sub>-0.05</sub></td><td>0.08<sup>+0.13</sup><sub>-0.06</sub></td><td>0.23<sup>+0.09</sup><sub>-0.09</sub></td><td>0.13<sup>+0.1</sup><sub>-0.1</sub></td><td>0.25<sup>+0.11</sup><sub>-0.05</sub></td><td>0.14<sup>+0.11</sup><sub>-0.12</sub></td></tr><tr><td>Dis</td><td>0.29<sup>+0.1</sup><sub>-0.1</sub></td><td>0.14<sup>+0.09</sup><sub>-0.18</sub></td><td>0.32<sup>+0.28</sup><sub>-0.5</sub></td><td>0.12<sup>+0.23</sup><sub>-0.34</sub></td><td>0.26<sup>+0.22</sup><sub>-0.59</sub></td><td>0.21<sup>+0.06</sup><sub>-0.32</sub></td></tr><tr><td rowspan="3">0.11</td><td>All</td><td>0.25<sup>+0.11</sup><sub>-0.11</sub></td><td>0.14<sup>+0.13</sup><sub>-0.13</sub></td><td>0.25<sup>+0.14</sup><sub>-0.12</sub></td><td>0.12<sup>+0.18</sup><sub>-0.14</sub></td><td>0.28<sup>+0.13</sup><sub>-0.11</sub></td><td>0.14<sup>+0.16</sup><sub>-0.12</sub></td></tr><tr><td>Rel</td><td>0.2<sup>+0.1</sup><sub>-0.12</sub></td><td>0.11<sup>+0.09</sup><sub>-0.08</sub></td><td>0.2<sup>+0.13</sup><sub>-0.08</sub></td><td>0.11<sup>+0.11</sup><sub>-0.09</sub></td><td>0.22<sup>+0.09</sup><sub>-0.05</sub></td><td>0.12<sup>+0.09</sup><sub>-0.09</sub></td></tr><tr><td>Dis</td><td>0.41<sup>+0.05</sup><sub>-0.17</sub></td><td>0.18<sup>+0.22</sup><sub>-0.2</sub></td><td>0.35<sup>+0.2</sup><sub>-0.21</sub></td><td>0.14<sup>+0.23</sup><sub>-0.28</sub></td><td>0.4<sup>+0.14</sup><sub>-0.26</sub></td><td>0.2<sup>+0.18</sup><sub>-0.16</sub></td></tr><tr><td rowspan="3">0.33</td><td>All</td><td>0.24<sup>+0.13</sup><sub>-0.09</sub></td><td>0.15<sup>+0.13</sup><sub>-0.12</sub></td><td>0.27<sup>+0.11</sup><sub>-0.12</sub></td><td>0.19<sup>+0.09</sup><sub>-0.16</sub></td><td>0.3<sup>+0.09</sup><sub>-0.12</sub></td><td>0.2<sup>+0.1</sup><sub>-0.16</sub></td></tr><tr><td>Rel</td><td>0.22<sup>+0.09</sup><sub>-0.07</sub></td><td>0.12<sup>+0.11</sup><sub>-0.11</sub></td><td>0.23<sup>+0.1</sup><sub>-0.09</sub></td><td>0.17<sup>+0.08</sup><sub>-0.14</sub></td><td>0.29<sup>+0.07</sup><sub>-0.07</sub></td><td>0.18<sup>+0.08</sup><sub>-0.14</sub></td></tr><tr><td>Dis</td><td>0.35<sup>+0.1</sup><sub>-0.16</sub></td><td>0.26<sup>+0.08</sup><sub>-0.28</sub></td><td>0.37<sup>+0.14</sup><sub>-0.15</sub></td><td>0.18<sup>+0.13</sup><sub>-0.31</sub></td><td>0.41<sup>+0.12</sup><sub>-0.21</sub></td><td>0.21<sup>+0.1</sup><sub>-0.2</sub></td></tr><tr><td rowspan="3">0.43</td><td>All</td><td>0.26<sup>+0.13</sup><sub>-0.12</sub></td><td>0.13<sup>+0.14</sup><sub>-0.13</sub></td><td>0.28<sup>+0.1</sup><sub>-0.14</sub></td><td>0.15<sup>+0.12</sup><sub>-0.14</sub></td><td>0.31<sup>+0.09</sup><sub>-0.1</sub></td><td>0.19<sup>+0.14</sup><sub>-0.17</sub></td></tr><tr><td>Rel</td><td>0.22<sup>+0.11</sup><sub>-0.08</sub></td><td>0.12<sup>+0.06</sup><sub>-0.09</sub></td><td>0.27<sup>+0.08</sup><sub>-0.12</sub></td><td>0.14<sup>+0.12</sup><sub>-0.12</sub></td><td>0.3<sup>+0.06</sup><sub>-0.09</sub></td><td>0.14<sup>+0.13</sup><sub>-0.12</sub></td></tr><tr><td>Dis</td><td>0.27<sup>+0.2</sup><sub>-0.25</sub></td><td>0.13<sup>+0.23</sup><sub>-0.23</sub></td><td>0.35<sup>+0.14</sup><sub>-0.31</sub></td><td>0.15<sup>+0.2</sup><sub>-0.4</sub></td><td>0.36<sup>+0.1</sup><sub>-0.32</sub></td><td>0.23<sup>+0.19</sup><sub>-0.31</sub></td></tr><tr><td rowspan="3">0.54</td><td>All</td><td>0.24<sup>+0.1</sup><sub>-0.14</sub></td><td>0.12<sup>+0.12</sup><sub>-0.14</sub></td><td>0.28<sup>+0.11</sup><sub>-0.14</sub></td><td>0.12<sup>+0.15</sup><sub>-0.15</sub></td><td>0.3<sup>+0.11</sup><sub>-0.15</sub></td><td>0.18<sup>+0.12</sup><sub>-0.14</sub></td></tr><tr><td>Rel</td><td>0.23<sup>+0.09</sup><sub>-0.11</sub></td><td>0.11<sup>+0.1</sup><sub>-0.08</sub></td><td>0.26<sup>+0.07</sup><sub>-0.1</sub></td><td>0.12<sup>+0.13</sup><sub>-0.11</sub></td><td>0.27<sup>+0.06</sup><sub>-0.12</sub></td><td>0.16<sup>+0.09</sup><sub>-0.12</sub></td></tr><tr><td>Dis</td><td>0.33<sup>+0.11</sup><sub>-0.22</sub></td><td>0.14<sup>+0.15</sup><sub>-0.28</sub></td><td>0.33<sup>+0.2</sup><sub>-0.22</sub></td><td>0.12<sup>+0.18</sup><sub>-0.29</sub></td><td>0.41<sup>+0.07</sup><sub>-0.1</sub></td><td>0.21<sup>+0.1</sup><sub>-0.16</sub></td></tr><tr><td rowspan="3">0.67</td><td>All</td><td>0.25<sup>+0.13</sup><sub>-0.16</sub></td><td>0.14<sup>+0.15</sup><sub>-0.17</sub></td><td>0.31<sup>+0.11</sup><sub>-0.12</sub></td><td>0.16<sup>+0.12</sup><sub>-0.17</sub></td><td>0.28<sup>+0.13</sup><sub>-0.11</sub></td><td>0.18<sup>+0.18</sup><sub>-0.18</sub></td></tr><tr><td>Rel</td><td>0.24<sup>+0.09</sup><sub>-0.12</sub></td><td>0.13<sup>+0.1</sup><sub>-0.13</sub></td><td>0.28<sup>+0.07</sup><sub>-0.08</sub></td><td>0.13<sup>+0.09</sup><sub>-0.12</sub></td><td>0.26<sup>+0.09</sup><sub>-0.09</sub></td><td>0.15<sup>+0.09</sup><sub>-0.15</sub></td></tr><tr><td>Dis</td><td>0.25<sup>+0.18</sup><sub>-0.25</sub></td><td>0.11<sup>+0.19</sup><sub>-0.28</sub></td><td>0.38<sup>+0.11</sup><sub>-0.22</sub></td><td>0.16<sup>+0.2</sup><sub>-0.23</sub></td><td>0.33<sup>+0.14</sup><sub>-0.15</sub></td><td>0.23<sup>+0.2</sup><sub>-0.2</sub></td></tr><tr><td rowspan="3">0.82</td><td>All</td><td>0.25<sup>+0.11</sup><sub>-0.13</sub></td><td>0.14<sup>+0.12</sup><sub>-0.17</sub></td><td>0.27<sup>+0.13</sup><sub>-0.15</sub></td><td>0.15<sup>+0.16</sup><sub>-0.15</sub></td><td>0.29<sup>+0.09</sup><sub>-0.14</sub></td><td>0.17<sup>+0.15</sup><sub>-0.15</sub></td></tr><tr><td>Rel</td><td>0.25<sup>+0.09</sup><sub>-0.09</sub></td><td>0.12<sup>+0.1</sup><sub>-0.15</sub></td><td>0.26<sup>+0.09</sup><sub>-0.1</sub></td><td>0.15<sup>+0.13</sup><sub>-0.13</sub></td><td>0.31<sup>+0.05</sup><sub>-0.11</sub></td><td>0.17<sup>+0.11</sup><sub>-0.11</sub></td></tr><tr><td>Dis</td><td>0.27<sup>+0.13</sup><sub>-0.28</sub></td><td>0.17<sup>+0.25</sup><sub>-0.26</sub></td><td>0.3<sup>+0.23</sup><sub>-0.33</sub></td><td>0.13<sup>+0.29</sup><sub>-0.19</sub></td><td>0.16<sup>+0.24</sup><sub>-0.41</sub></td><td>0.07<sup>+0.29</sup><sub>-0.2</sub></td></tr><tr><td rowspan="3">0.0</td><td>All</td><td>0.12<sup>+0.15</sup><sub>-0.15</sub></td><td>-0.02<sup>+0.19</sup><sub>-0.19</sub></td><td>0.14<sup>+0.19</sup><sub>-0.23</sub></td><td>0.0<sup>+0.19</sup><sub>-0.24</sub></td><td>0.14<sup>+0.2</sup><sub>-0.19</sub></td><td>0.01<sup>+0.18</sup><sub>-0.23</sub></td></tr><tr><td>Rel</td><td>0.1<sup>+0.12</sup><sub>-0.11</sub></td><td>-0.03<sup>+0.14</sup><sub>-0.11</sub></td><td>0.1<sup>+0.13</sup><sub>-0.2</sub></td><td>-0.01<sup>+0.15</sup><sub>-0.21</sub></td><td>0.11<sup>+0.15</sup><sub>-0.13</sub></td><td>0.01<sup>+0.15</sup><sub>-0.16</sub></td></tr><tr><td>Dis</td><td>0.14<sup>+0.19</sup><sub>-0.38</sub></td><td>-0.2<sup>+0.17</sup><sub>-0.26</sub></td><td>0.18<sup>+0.35</sup><sub>-0.44</sub></td><td>-0.15<sup>+0.32</sup><sub>-0.35</sub></td><td>-0.16<sup>+0.54</sup><sub>-0.52</sub></td><td>-0.2<sup>+0.24</sup><sub>-0.35</sub></td></tr><tr><td rowspan="3">0.11</td><td>All</td><td>0.15<sup>+0.12</sup><sub>-0.2</sub></td><td>-0.02<sup>+0.18</sup><sub>-0.17</sub></td><td>0.12<sup>+0.2</sup><sub>-0.19</sub></td><td>-0.01<sup>+0.18</sup><sub>-0.25</sub></td><td>0.16<sup>+0.14</sup><sub>-0.22</sub></td><td>-0.0<sup>+0.17</sup><sub>-0.22</sub></td></tr><tr><td>Rel</td><td>0.1<sup>+0.11</sup><sub>-0.19</sub></td><td>-0.03<sup>+0.15</sup><sub>-0.14</sub></td><td>0.09<sup>+0.17</sup><sub>-0.14</sub></td><td>-0.01<sup>+0.12</sup><sub>-0.19</sub></td><td>0.13<sup>+0.1</sup><sub>-0.21</sub></td><td>0.0<sup>+0.14</sup><sub>-0.14</sub></td></tr><tr><td>Dis</td><td>0.16<sup>+0.21</sup><sub>-0.19</sub></td><td>-0.12<sup>+0.51</sup><sub>-0.37</sub></td><td>0.12<sup>+0.34</sup><sub>-0.41</sub></td><td>-0.13<sup>+0.39</sup><sub>-0.57</sub></td><td>0.25<sup>+0.1</sup><sub>-0.48</sub></td><td>-0.05<sup>+0.21</sup><sub>-0.38</sub></td></tr><tr><td rowspan="3">0.33</td><td>All</td><td>0.11<sup>+0.15</sup><sub>-0.2</sub></td><td>-0.04<sup>+0.19</sup><sub>-0.26</sub></td><td>0.09<sup>+0.24</sup><sub>-0.24</sub></td><td>-0.03<sup>+0.21</sup><sub>-0.28</sub></td><td>0.15<sup>+0.2</sup><sub>-0.21</sub></td><td>-0.03<sup>+0.18</sup><sub>-0.33</sub></td></tr><tr><td>Rel</td><td>0.06<sup>+0.15</sup><sub>-0.22</sub></td><td>-0.07<sup>+0.17</sup><sub>-0.21</sub></td><td>0.02<sup>+0.2</sup><sub>-0.15</sub></td><td>-0.06<sup>+0.19</sup><sub>-0.25</sub></td><td>0.11<sup>+0.21</sup><sub>-0.17</sub></td><td>-0.05<sup>+0.2</sup><sub>-0.26</sub></td></tr><tr><td>Dis</td><td>0.18<sup>+0.18</sup><sub>-0.31</sub></td><td>0.0<sup>+0.26</sup><sub>-0.37</sub></td><td>0.25<sup>+0.23</sup><sub>-0.41</sub></td><td>-0.06<sup>+0.21</sup><sub>-0.57</sub></td><td>0.23<sup>+0.24</sup><sub>-0.33</sub></td><td>-0.01<sup>+0.17</sup><sub>-0.45</sub></td></tr><tr><td rowspan="3">0.43</td><td>All</td><td>0.14<sup>+0.18</sup><sub>-0.2</sub></td><td>-0.01<sup>+0.23</sup><sub>-0.24</sub></td><td>0.14<sup>+0.15</sup><sub>-0.28</sub></td><td>-0.01<sup>+0.19</sup><sub>-0.27</sub></td><td>0.16<sup>+0.13</sup><sub>-0.23</sub></td><td>-0.01<sup>+0.21</sup><sub>-0.33</sub></td></tr><tr><td>Rel</td><td>0.1<sup>+0.16</sup><sub>-0.17</sub></td><td>-0.03<sup>+0.15</sup><sub>-0.22</sub></td><td>0.13<sup>+0.14</sup><sub>-0.26</sub></td><td>-0.04<sup>+0.2</sup><sub>-0.25</sub></td><td>0.15<sup>+0.1</sup><sub>-0.17</sub></td><td>-0.06<sup>+0.18</sup><sub>-0.29</sub></td></tr><tr><td>Dis</td><td>0.13<sup>+0.29</sup><sub>-0.38</sub></td><td>-0.1<sup>+0.43</sup><sub>-0.25</sub></td><td>0.18<sup>+0.22</sup><sub>-0.6</sub></td><td>-0.08<sup>+0.23</sup><sub>-0.6</sub></td><td>0.2<sup>+0.19</sup><sub>-0.48</sub></td><td>0.01<sup>+0.26</sup><sub>-0.53</sub></td></tr><tr><td rowspan="3">0.54</td><td>All</td><td>0.12<sup>+0.16</sup><sub>-0.24</sub></td><td>-0.05<sup>+0.2</sup><sub>-0.28</sub></td><td>0.12<sup>+0.18</sup><sub>-0.23</sub></td><td>-0.1<sup>+0.22</sup><sub>-0.31</sub></td><td>0.14<sup>+0.16</sup><sub>-0.18</sub></td><td>-0.02<sup>+0.16</sup><sub>-0.36</sub></td></tr><tr><td>Rel</td><td>0.12<sup>+0.09</sup><sub>-0.15</sub></td><td>-0.02<sup>+0.16</sup><sub>-0.25</sub></td><td>0.12<sup>+0.1</sup><sub>-0.28</sub></td><td>-0.09<sup>+0.19</sup><sub>-0.19</sub></td><td>0.08<sup>+0.13</sup><sub>-0.13</sub></td><td>-0.04<sup>+0.16</sup><sub>-0.25</sub></td></tr><tr><td>Dis</td><td>0.12<sup>+0.23</sup><sub>-0.35</sub></td><td>-0.13<sup>+0.24</sup><sub>-0.41</sub></td><td>0.12<sup>+0.36</sup><sub>-0.39</sub></td><td>-0.22<sup>+0.34</sup><sub>-0.44</sub></td><td>0.2<sup>+0.11</sup><sub>-0.13</sub></td><td>-0.09<sup>+0.19</sup><sub>-0.3</sub></td></tr><tr><td rowspan="3">0.67</td><td>All</td><td>0.08<sup>+0.23</sup><sub>-0.28</sub></td><td>-0.04<sup>+0.22</sup><sub>-0.27</sub></td><td>0.13<sup>+0.22</sup><sub>-0.25</sub></td><td>-0.09<sup>+0.26</sup><sub>-0.24</sub></td><td>0.09<sup>+0.25</sup><sub>-0.26</sub></td><td>-0.09<sup>+0.27</sup><sub>-0.34</sub></td></tr><tr><td>Rel</td><td>0.06<sup>+0.21</sup><sub>-0.23</sub></td><td>-0.04<sup>+0.13</sup><sub>-0.22</sub></td><td>0.1<sup>+0.12</sup><sub>-0.18</sub></td><td>-0.09<sup>+0.14</sup><sub>-0.22</sub></td><td>0.1<sup>+0.15</sup><sub>-0.22</sub></td><td>-0.12<sup>+0.18</sup><sub>-0.21</sub></td></tr><tr><td>Dis</td><td>0.02<sup>+0.36</sup><sub>-0.33</sub></td><td>-0.19<sup>+0.34</sup><sub>-0.33</sub></td><td>0.16<sup>+0.31</sup><sub>-0.27</sub></td><td>-0.14<sup>+0.41</sup><sub>-0.28</sub></td><td>0.06<sup>+0.24</sup><sub>-0.35</sub></td><td>-0.16<sup>+0.43</sup><sub>-0.29</sub></td></tr><tr><td rowspan="3">0.82</td><td>All</td><td>0.11<sup>+0.21</sup><sub>-0.25</sub></td><td>-0.06<sup>+0.29</sup><sub>-0.23</sub></td><td>0.08<sup>+0.22</sup><sub>-0.25</sub></td><td>-0.06<sup>+0.23</sup><sub>-0.31</sub></td><td>0.07<sup>+0.17</sup><sub>-0.3</sub></td><td>-0.09<sup>+0.18</sup><sub>-0.33</sub></td></tr><tr><td>Rel</td><td>0.09<sup>+0.15</sup><sub>-0.19</sub></td><td>-0.07<sup>+0.12</sup><sub>-0.22</sub></td><td>0.07<sup>+0.12</sup><sub>-0.18</sub></td><td>-0.06<sup>+0.14</sup><sub>-0.22</sub></td><td>0.08<sup>+0.14</sup><sub>-0.18</sub></td><td>-0.07<sup>+0.12</sup><sub>-0.25</sub></td></tr><tr><td>Dis</td><td>0.19<sup>+0.23</sup><sub>-0.56</sub></td><td>0.01<sup>+0.42</sup><sub>-0.29</sub></td><td>0.05<sup>+0.44</sup><sub>-0.48</sub></td><td>-0.2<sup>+0.59</sup><sub>-0.29</sub></td><td>-0.13<sup>+0.52</sup><sub>-0.56</sub></td><td>-0.22<sup>+0.38</sup><sub>-0.4</sub></td></tr></tbody></table>

This paper has been typeset from a *TEX/LATEX* file prepared by the author.
<table><caption>**Table C1.** A compilation of the HE mass bias estimates $b_{SZ}$ and $b_X$ and their corresponding corrected ones (at the bottom part of the Table) computed at $R_{500}$ for clusters with reliable fits to the analytical profiles in the MUSIC sample, for different redshifts (first column). The biases are listed taking into account All the clusters and only the Relaxed or Disturbed ones. The results for the three AGN, CSF, and NR simulation flavours are listed as median values with 16th and 84th percentile errors.</caption><thead><tr><th rowspan="2">z</th><th rowspan="2">Clusters</th><th colspan="2">AGN</th><th colspan="2">CSF</th><th colspan="2">NR</th></tr><tr><th>b<sub>SZ</sub></th><th>b<sub>X</sub></th><th>b<sub>SZ</sub></th><th>b<sub>X</sub></th><th>b<sub>SZ</sub></th><th>b<sub>X</sub></th></tr></thead><tbody><tr><td rowspan="3">0.0</td><td>All</td><td>0.23<sup>+0.14</sup><sub>-0.09</sub></td><td>0.14<sup>+0.11</sup><sub>-0.13</sub></td><td>0.26<sup>+0.12</sup><sub>-0.1</sub></td><td>0.14<sup>+0.16</sup><sub>-0.11</sub></td><td>0.27<sup>+0.15</sup><sub>-0.11</sub></td><td>0.15<sup>+0.14</sup><sub>-0.13</sub></td></tr><tr><td>Rel</td><td>0.19<sup>+0.09</sup><sub>-0.05</sub></td><td>0.08<sup>+0.13</sup><sub>-0.06</sub></td><td>0.23<sup>+0.09</sup><sub>-0.09</sub></td><td>0.13<sup>+0.1</sup><sub>-0.1</sub></td><td>0.25<sup>+0.11</sup><sub>-0.05</sub></td><td>0.14<sup>+0.11</sup><sub>-0.12</sub></td></tr><tr><td>Dis</td><td>0.29<sup>+0.1</sup><sub>-0.1</sub></td><td>0.14<sup>+0.09</sup><sub>-0.18</sub></td><td>0.32<sup>+0.28</sup><sub>-0.5</sub></td><td>0.12<sup>+0.23</sup><sub>-0.34</sub></td><td>0.26<sup>+0.22</sup><sub>-0.59</sub></td><td>0.21<sup>+0.06</sup><sub>-0.32</sub></td></tr><tr><td rowspan="3">0.11</td><td>All</td><td>0.25<sup>+0.11</sup><sub>-0.11</sub></td><td>0.14<sup>+0.13</sup><sub>-0.13</sub></td><td>0.25<sup>+0.14</sup><sub>-0.12</sub></td><td>0.12<sup>+0.18</sup><sub>-0.14</sub></td><td>0.28<sup>+0.13</sup><sub>-0.11</sub></td><td>0.14<sup>+0.16</sup><sub>-0.12</sub></td></tr><tr><td>Rel</td><td>0.2<sup>+0.1</sup><sub>-0.12</sub></td><td>0.11<sup>+0.09</sup><sub>-0.08</sub></td><td>0.2<sup>+0.13</sup><sub>-0.08</sub></td><td>0.11<sup>+0.11</sup><sub>-0.09</sub></td><td>0.22<sup>+0.09</sup><sub>-0.05</sub></td><td>0.12<sup>+0.09</sup><sub>-0.09</sub></td></tr><tr><td>Dis</td><td>0.41<sup>+0.05</sup><sub>-0.17</sub></td><td>0.18<sup>+0.22</sup><sub>-0.2</sub></td><td>0.35<sup>+0.2</sup><sub>-0.21</sub></td><td>0.14<sup>+0.23</sup><sub>-0.28</sub></td><td>0.4<sup>+0.14</sup><sub>-0.26</sub></td><td>0.2<sup>+0.18</sup><sub>-0.16</sub></td></tr><tr><td rowspan="3">0.33</td><td>All</td><td>0.24<sup>+0.13</sup><sub>-0.09</sub></td><td>0.15<sup>+0.13</sup><sub>-0.12</sub></td><td>0.27<sup>+0.11</sup><sub>-0.12</sub></td><td>0.19<sup>+0.09</sup><sub>-0.16</sub></td><td>0.3<sup>+0.09</sup><sub>-0.12</sub></td><td>0.2<sup>+0.1</sup><sub>-0.16</sub></td></tr><tr><td>Rel</td><td>0.22<sup>+0.09</sup><sub>-0.07</sub></td><td>0.12<sup>+0.11</sup><sub>-0.11</sub></td><td>0.23<sup>+0.1</sup><sub>-0.09</sub></td><td>0.17<sup>+0.08</sup><sub>-0.14</sub></td><td>0.29<sup>+0.07</sup><sub>-0.07</sub></td><td>0.18<sup>+0.08</sup><sub>-0.14</sub></td></tr><tr><td>Dis</td><td>0.35<sup>+0.1</sup><sub>-0.16</sub></td><td>0.26<sup>+0.08</sup><sub>-0.28</sub></td><td>0.37<sup>+0.14</sup><sub>-0.15</sub></td><td>0.18<sup>+0.13</sup><sub>-0.31</sub></td><td>0.41<sup>+0.12</sup><sub>-0.21</sub></td><td>0.21<sup>+0.1</sup><sub>-0.2</sub></td></tr><tr><td rowspan="3">0.43</td><td>All</td><td>0.26<sup>+0.13</sup><sub>-0.12</sub></td><td>0.13<sup>+0.14</sup><sub>-0.13</sub></td><td>0.28<sup>+0.1</sup><sub>-0.14</sub></td><td>0.15<sup>+0.12</sup><sub>-0.14</sub></td><td>0.31<sup>+0.09</sup><sub>-0.1</sub></td><td>0.19<sup>+0.14</sup><sub>-0.17</sub></td></tr><tr><td>Rel</td><td>0.22<sup>+0.11</sup><sub>-0.08</sub></td><td>0.12<sup>+0.06</sup><sub>-0.09</sub></td><td>0.27<sup>+0.08</sup><sub>-0.12</sub></td><td>0.14<sup>+0.12</sup><sub>-0.12</sub></td><td>0.3<sup>+0.06</sup><sub>-0.09</sub></td><td>0.14<sup>+0.13</sup><sub>-0.12</sub></td></tr><tr><td>Dis</td><td>0.27<sup>+0.2</sup><sub>-0.25</sub></td><td>0.13<sup>+0.23</sup><sub>-0.23</sub></td><td>0.35<sup>+0.14</sup><sub>-0.31</sub></td><td>0.15<sup>+0.2</sup><sub>-0.4</sub></td><td>0.36<sup>+0.1</sup><sub>-0.32</sub></td><td>0.23<sup>+0.19</sup><sub>-0.31</sub></td></tr><tr><td rowspan="3">0.54</td><td>All</td><td>0.24<sup>+0.1</sup><sub>-0.14</sub></td><td>0.12<sup>+0.12</sup><sub>-0.14</sub></td><td>0.28<sup>+0.11</sup><sub>-0.14</sub></td><td>0.12<sup>+0.15</sup><sub>-0.15</sub></td><td>0.3<sup>+0.11</sup><sub>-0.15</sub></td><td>0.18<sup>+0.12</sup><sub>-0.14</sub></td></tr><tr><td>Rel</td><td>0.23<sup>+0.09</sup><sub>-0.11</sub></td><td>0.11<sup>+0.1</sup><sub>-0.08</sub></td><td>0.26<sup>+0.07</sup><sub>-0.1</sub></td><td>0.12<sup>+0.13</sup><sub>-0.11</sub></td><td>0.27<sup>+0.06</sup><sub>-0.12</sub></td><td>0.16<sup>+0.09</sup><sub>-0.12</sub></td></tr><tr><td>Dis</td><td>0.33<sup>+0.11</sup><sub>-0.22</sub></td><td>0.14<sup>+0.15</sup><sub>-0.28</sub></td><td>0.33<sup>+0.2</sup><sub>-0.22</sub></td><td>0.12<sup>+0.18</sup><sub>-0.29</sub></td><td>0.41<sup>+0.07</sup><sub>-0.1</sub></td><td>0.21<sup>+0.1</sup><sub>-0.16</sub></td></tr><tr><td rowspan="3">0.67</td><td>All</td><td>0.25<sup>+0.13</sup><sub>-0.16</sub></td><td>0.14<sup>+0.15</sup><sub>-0.17</sub></td><td>0.31<sup>+0.11</sup><sub>-0.12</sub></td><td>0.16<sup>+0.12</sup><sub>-0.17</sub></td><td>0.28<sup>+0.13</sup><sub>-0.11</sub></td><td>0.18<sup>+0.18</sup><sub>-0.18</sub></td></tr><tr><td>Rel</td><td>0.24<sup>+0.09</sup><sub>-0.12</sub></td><td>0.13<sup>+0.1</sup><sub>-0.13</sub></td><td>0.28<sup>+0.07</sup><sub>-0.08</sub></td><td>0.13<sup>+0.09</sup><sub>-0.12</sub></td><td>0.26<sup>+0.09</sup><sub>-0.09</sub></td><td>0.15<sup>+0.09</sup><sub>-0.15</sub></td></tr><tr><td>Dis</td><td>0.25<sup>+0.18</sup><sub>-0.25</sub></td><td>0.11<sup>+0.19</sup><sub>-0.28</sub></td><td>0.38<sup>+0.11</sup><sub>-0.22</sub></td><td>0.16<sup>+0.2</sup><sub>-0.23</sub></td><td>0.33<sup>+0.14</sup><sub>-0.15</sub></td><td>0.23<sup>+0.2</sup><sub>-0.2</sub></td></tr><tr><td rowspan="3">0.82</td><td>All</td><td>0.25<sup>+0.11</sup><sub>-0.13</sub></td><td>0.14<sup>+0.12</sup><sub>-0.17</sub></td><td>0.27<sup>+0.13</sup><sub>-0.15</sub></td><td>0.15<sup>+0.16</sup><sub>-0.15</sub></td><td>0.29<sup>+0.09</sup><sub>-0.14</sub></td><td>0.17<sup>+0.15</sup><sub>-0.15</sub></td></tr><tr><td>Rel</td><td>0.25<sup>+0.09</sup><sub>-0.09</sub></td><td>0.12<sup>+0.1</sup><sub>-0.15</sub></td><td>0.26<sup>+0.09</sup><sub>-0.1</sub></td><td>0.15<sup>+0.13</sup><sub>-0.13</sub></td><td>0.31<sup>+0.05</sup><sub>-0.11</sub></td><td>0.17<sup>+0.11</sup><sub>-0.11</sub></td></tr><tr><td>Dis</td><td>0.27<sup>+0.13</sup><sub>-0.28</sub></td><td>0.17<sup>+0.25</sup><sub>-0.26</sub></td><td>0.3<sup>+0.23</sup><sub>-0.33</sub></td><td>0.13<sup>+0.29</sup><sub>-0.19</sub></td><td>0.16<sup>+0.24</sup><sub>-0.41</sub></td><td>0.07<sup>+0.29</sup><sub>-0.2</sub></td></tr><tr><td rowspan="3">0.0</td><td>All</td><td>0.12<sup>+0.15</sup><sub>-0.15</sub></td><td>-0.02<sup>+0.19</sup><sub>-0.19</sub></td><td>0.14<sup>+0.19</sup><sub>-0.23</sub></td><td>0.0<sup>+0.19</sup><sub>-0.24</sub></td><td>0.14<sup>+0.2</sup><sub>-0.19</sub></td><td>0.01<sup>+0.18</sup><sub>-0.23</sub></td></tr><tr><td>Rel</td><td>0.1<sup>+0.12</sup><sub>-0.11</sub></td><td>-0.03<sup>+0.14</sup><sub>-0.11</sub></td><td>0.1<sup>+0.13</sup><sub>-0.2</sub></td><td>-0.01<sup>+0.15</sup><sub>-0.21</sub></td><td>0.11<sup>+0.15</sup><sub>-0.13</sub></td><td>0.01<sup>+0.15</sup><sub>-0.16</sub></td></tr><tr><td>Dis</td><td>0.14<sup>+0.19</sup><sub>-0.38</sub></td><td>-0.2<sup>+0.17</sup><sub>-0.26</sub></td><td>0.18<sup>+0.35</sup><sub>-0.44</sub></td><td>-0.15<sup>+0.32</sup><sub>-0.35</sub></td><td>-0.16<sup>+0.54</sup><sub>-0.52</sub></td><td>-0.2<sup>+0.24</sup><sub>-0.35</sub></td></tr><tr><td rowspan="3">0.11</td><td>All</td><td>0.15<sup>+0.12</sup><sub>-0.2</sub></td><td>-0.02<sup>+0.18</sup><sub>-0.17</sub></td><td>0.12<sup>+0.2</sup><sub>-0.19</sub></td><td>-0.01<sup>+0.18</sup><sub>-0.25</sub></td><td>0.16<sup>+0.14</sup><sub>-0.22</sub></td><td>-0.0<sup>+0.17</sup><sub>-0.22</sub></td></tr><tr><td>Rel</td><td>0.1<sup>+0.11</sup><sub>-0.19</sub></td><td>-0.03<sup>+0.15</sup><sub>-0.14</sub></td><td>0.09<sup>+0.17</sup><sub>-0.14</sub></td><td>-0.01<sup>+0.12</sup><sub>-0.19</sub></td><td>0.13<sup>+0.1</sup><sub>-0.21</sub></td><td>0.0<sup>+0.14</sup><sub>-0.14</sub></td></tr><tr><td>Dis</td><td>0.16<sup>+0.21</sup><sub>-0.19</sub></td><td>-0.12<sup>+0.51</sup><sub>-0.37</sub></td><td>0.12<sup>+0.34</sup><sub>-0.41</sub></td><td>-0.13<sup>+0.39</sup><sub>-0.57</sub></td><td>0.25<sup>+0.1</sup><sub>-0.48</sub></td><td>-0.05<sup>+0.21</sup><sub>-0.38</sub></td></tr><tr><td rowspan="3">0.33</td><td>All</td><td>0.11<sup>+0.15</sup><sub>-0.2</sub></td><td>-0.04<sup>+0.19</sup><sub>-0.26</sub></td><td>0.09<sup>+0.24</sup><sub>-0.24</sub></td><td>-0.03<sup>+0.21</sup><sub>-0.28</sub></td><td>0.15<sup>+0.2</sup><sub>-0.21</sub></td><td>-0.03<sup>+0.18</sup><sub>-0.33</sub></td></tr><tr><td>Rel</td><td>0.06<sup>+0.15</sup><sub>-0.22</sub></td><td>-0.07<sup>+0.17</sup><sub>-0.21</sub></td><td>0.02<sup>+0.2</sup><sub>-0.15</sub></td><td>-0.06<sup>+0.19</sup><sub>-0.25</sub></td><td>0.11<sup>+0.21</sup><sub>-0.17</sub></td><td>-0.05<sup>+0.2</sup><sub>-0.26</sub></td></tr><tr><td>Dis</td><td>0.18<sup>+0.18</sup><sub>-0.31</sub></td><td>0.0<sup>+0.26</sup><sub>-0.37</sub></td><td>0.25<sup>+0.23</sup><sub>-0.41</sub></td><td>-0.06<sup>+0.21</sup><sub>-0.57</sub></td><td>0.23<sup>+0.24</sup><sub>-0.33</sub></td><td>-0.01<sup>+0.17</sup><sub>-0.45</sub></td></tr><tr><td rowspan="3">0.43</td><td>All</td><td>0.14<sup>+0.18</sup><sub>-0.2</sub></td><td>-0.01<sup>+0.23</sup><sub>-0.24</sub></td><td>0.14<sup>+0.15</sup><sub>-0.28</sub></td><td>-0.01<sup>+0.19</sup><sub>-0.27</sub></td><td>0.16<sup>+0.13</sup><sub>-0.23</sub></td><td>-0.01<sup>+0.21</sup><sub>-0.33</sub></td></tr><tr><td>Rel</td><td>0.1<sup>+0.16</sup><sub>-0.17</sub></td><td>-0.03<sup>+0.15</sup><sub>-0.22</sub></td><td>0.13<sup>+0.14</sup><sub>-0.26</sub></td><td>-0.04<sup>+0.2</sup><sub>-0.25</sub></td><td>0.15<sup>+0.1</sup><sub>-0.17</sub></td><td>-0.06<sup>+0.18</sup><sub>-0.29</sub></td></tr><tr><td>Dis</td><td>0.13<sup>+0.29</sup><sub>-0.38</sub></td><td>-0.1<sup>+0.43</sup><sub>-0.25</sub></td><td>0.18<sup>+0.22</sup><sub>-0.6</sub></td><td>-0.08<sup>+0.23</sup><sub>-0.6</sub></td><td>0.2<sup>+0.19</sup><sub>-0.48</sub></td><td>0.01<sup>+0.26</sup><sub>-0.53</sub></td></tr><tr><td rowspan="3">0.54</td><td>All</td><td>0.12<sup>+0.16</sup><sub>-0.24</sub></td><td>-0.05<sup>+0.2</sup><sub>-0.28</sub></td><td>0.12<sup>+0.18</sup><sub>-0.23</sub></td><td>-0.1<sup>+0.22</sup><sub>-0.31</sub></td><td>0.14<sup>+0.16</sup><sub>-0.18</sub></td><td>-0.02<sup>+0.16</sup><sub>-0.36</sub></td></tr><tr><td>Rel</td><td>0.12<sup>+0.09</sup><sub>-0.15</sub></td><td>-0.02<sup>+0.16</sup><sub>-0.25</sub></td><td>0.12<sup>+0.1</sup><sub>-0.28</sub></td><td>-0.09<sup>+0.19</sup><sub>-0.19</sub></td><td>0.08<sup>+0.13</sup><sub>-0.13</sub></td><td>-0.04<sup>+0.16</sup><sub>-0.25</sub></td></tr><tr><td>Dis</td><td>0.12<sup>+0.23</sup><sub>-0.35</sub></td><td>-0.13<sup>+0.24</sup><sub>-0.41</sub></td><td>0.12<sup>+0.36</sup><sub>-0.39</sub></td><td>-0.22<sup>+0.34</sup><sub>-0.44</sub></td><td>0.2<sup>+0.11</sup><sub>-0.13</sub></td><td>-0.09<sup>+0.19</sup><sub>-0.3</sub></td></tr><tr><td rowspan="3">0.67</td><td>All</td><td>0.08<sup>+0.23</sup><sub>-0.28</sub></td><td>-0.04<sup>+0.22</sup><sub>-0.27</sub></td><td>0.13<sup>+0.22</sup><sub>-0.25</sub></td><td>-0.09<sup>+0.26</sup><sub>-0.24</sub></td><td>0.09<sup>+0.25</sup><sub>-0.26</sub></td><td>-0.09<sup>+0.27</sup><sub>-0.34</sub></td></tr><tr><td>Rel</td><td>0.06<sup>+0.21</sup><sub>-0.23</sub></td><td>-0.04<sup>+0.13</sup><sub>-0.22</sub></td><td>0.1<sup>+0.12</sup><sub>-0.18</sub></td><td>-0.09<sup>+0.14</sup><sub>-0.22</sub></td><td>0.1<sup>+0.15</sup><sub>-0.22</sub></td><td>-0.12<sup>+0.18</sup><sub>-0.21</sub></td></tr><tr><td>Dis</td><td>0.02<sup>+0.36</sup><sub>-0.33</sub></td><td>-0.19<sup>+0.34</sup><sub>-0.33</sub></td><td>0.16<sup>+0.31</sup><sub>-0.27</sub></td><td>-0.14<sup>+0.41</sup><sub>-0.28</sub></td><td>0.06<sup>+0.24</sup><sub>-0.35</sub></td><td>-0.16<sup>+0.43</sup><sub>-0.29</sub></td></tr><tr><td rowspan="3">0.82</td><td>All</td><td>0.11<sup>+0.21</sup><sub>-0.25</sub></td><td>-0.06<sup>+0.29</sup><sub>-0.23</sub></td><td>0.08<sup>+0.22</sup><sub>-0.25</sub></td><td>-0.06<sup>+0.23</sup><sub>-0.31</sub></td><td>0.07<sup>+0.17</sup><sub>-0.3</sub></td><td>-0.09<sup>+0.18</sup><sub>-0.33</sub></td></tr><tr><td>Rel</td><td>0.09<sup>+0.15</sup><sub>-0.19</sub></td><td>-0.07<sup>+0.12</sup><sub>-0.22</sub></td><td>0.07<sup>+0.12</sup><sub>-0.18</sub></td><td>-0.06<sup>+0.14</sup><sub>-0.22</sub></td><td>0.08<sup>+0.14</sup><sub>-0.18</sub></td><td>-0.07<sup>+0.12</sup><sub>-0.25</sub></td></tr><tr><td>Dis</td><td>0.19<sup>+0.23</sup><sub>-0.56</sub></td><td>0.01<sup>+0.42</sup><sub>-0.29</sub></td><td>0.05<sup>+0.44</sup><sub>-0.48</sub></td><td>-0.2<sup>+0.59</sup><sub>-0.29</sub></td><td>-0.13<sup>+0.52</sup><sub>-0.56</sub></td><td>-0.22<sup>+0.38</sup><sub>-0.4</sub></td></tr></tbody></table>

This paper has been typeset from a TeX/LATEX file prepared by the author.