cometadata/datacite-titles-descriptions-related-identifiers huggingface dataset:
DOI: 10.17182/hepdata.138996.v1/t2
title: "Table 2" of "Elliptic Flow of Heavy-Flavor Decay Electrons in Au+Au Collisions at $\sqrt{s_{_{\rm NN}}}$ = 27 and 54.4 GeV at RHIC"

description: Heavy-flavor decay electron $v_2$ as a function of electron $p_{\rm T}$ in Au+Au collisions at $\sqrt{s_{_{\rm NN}}}$ = 27 GeV.
description: We report on new measurements of elliptic flow ($v_2$) of electrons from heavy-flavor hadron decays at mid-rapidity ($|y|&lt;0.8$) in Au+Au collisions at $\sqrt{s_{_{\rm NN}}}$ = 27 and 54.4 GeV from the STAR experiment. Heavy-flavor decay electrons ($e^{\rm HF}$) in Au+Au collisions at $\sqrt{s_{_{\rm NN}}}$ = 54.4 GeV exhibit a non-zero $v_2$ in the transverse momentum ($p_{\rm T}$) region of $p_{\rm T}&lt;$ 2 GeV/$c$ with the magnitude comparable to that at $\sqrt{s_{\rm NN}}=200$ GeV. The measured $e^{\rm HF}$ $v_2$ at 54.4 GeV is also consistent with the expectation of their parent charm hadron $v_2$ following number-of-constituent-quark scaling as other light and strange flavor hadrons at this energy. These suggest that charm quarks gain significant collectivity through the evolution of the QCD medium and may reach local thermal equilibrium in Au+Au collisions at $\sqrt{s_{\rm NN}}=54.4$ GeV. The measured $e^{\rm HF}$ $v_2$ in Au+Au collisions at $\sqrt{s_{\rm NN}}=$ 27 GeV is consistent with zero within large uncertainties. The energy dependence of $v_2$ for different flavor particles ($\pi,\phi,D^{0}/e^{\rm HF}$) shows an indication of quark mass hierarchy in reaching thermalization in high-energy nuclear collisions.
DOI: 10.17182/hepdata.138996.v1/t3
title: "Table 3" of "Elliptic Flow of Heavy-Flavor Decay Electrons in Au+Au Collisions at $\sqrt{s_{_{\rm NN}}}$ = 27 and 54.4 GeV at RHIC"

description: Energy dependence of $v_2$ for $\pi^{\pm}$, $\phi$, $D^0$ and $e^{\rm HF}$ at the same transverse mass value $\left=\left$ = 0.93 GeV/$c^2$. The data points are from or interpolated from STAR and ALICE measurements. The $e^{\rm HF}$ $v_2$ shown here is at the same parent $D^0$ meson transverse mass position using the decay kinematics calculated from PYTHIA6. Data points at the same energy are shifted horizontally for clarity. Error bars depict combined statistical and systematic uncertainties.
description: We report on new measurements of elliptic flow ($v_2$) of electrons from heavy-flavor hadron decays at mid-rapidity ($|y|&lt;0.8$) in Au+Au collisions at $\sqrt{s_{_{\rm NN}}}$ = 27 and 54.4 GeV from the STAR experiment. Heavy-flavor decay electrons ($e^{\rm HF}$) in Au+Au collisions at $\sqrt{s_{_{\rm NN}}}$ = 54.4 GeV exhibit a non-zero $v_2$ in the transverse momentum ($p_{\rm T}$) region of $p_{\rm T}&lt;$ 2 GeV/$c$ with the magnitude comparable to that at $\sqrt{s_{\rm NN}}=200$ GeV. The measured $e^{\rm HF}$ $v_2$ at 54.4 GeV is also consistent with the expectation of their parent charm hadron $v_2$ following number-of-constituent-quark scaling as other light and strange flavor hadrons at this energy. These suggest that charm quarks gain significant collectivity through the evolution of the QCD medium and may reach local thermal equilibrium in Au+Au collisions at $\sqrt{s_{\rm NN}}=54.4$ GeV. The measured $e^{\rm HF}$ $v_2$ in Au+Au collisions at $\sqrt{s_{\rm NN}}=$ 27 GeV is consistent with zero within large uncertainties. The energy dependence of $v_2$ for different flavor particles ($\pi,\phi,D^{0}/e^{\rm HF}$) shows an indication of quark mass hierarchy in reaching thermalization in high-energy nuclear collisions.
DOI: 10.17182/hepdata.138996.v1/t4
title: "Table 4" of "Elliptic Flow of Heavy-Flavor Decay Electrons in Au+Au Collisions at $\sqrt{s_{_{\rm NN}}}$ = 27 and 54.4 GeV at RHIC"

description: Energy dependence of $v_2$ for $\pi^{\pm}$, $\phi$, $D^0$ and $e^{\rm HF}$ at the same transverse mass value $\left=\left$ = 0.93 GeV/$c^2$. The data points are from or interpolated from STAR and ALICE measurements. The $e^{\rm HF}$ $v_2$ shown here is at the same parent $D^0$ meson transverse mass position using the decay kinematics calculated from PYTHIA6. Data points at the same energy are shifted horizontally for clarity. Error bars depict combined statistical and systematic uncertainties.
description: We report on new measurements of elliptic flow ($v_2$) of electrons from heavy-flavor hadron decays at mid-rapidity ($|y|&lt;0.8$) in Au+Au collisions at $\sqrt{s_{_{\rm NN}}}$ = 27 and 54.4 GeV from the STAR experiment. Heavy-flavor decay electrons ($e^{\rm HF}$) in Au+Au collisions at $\sqrt{s_{_{\rm NN}}}$ = 54.4 GeV exhibit a non-zero $v_2$ in the transverse momentum ($p_{\rm T}$) region of $p_{\rm T}&lt;$ 2 GeV/$c$ with the magnitude comparable to that at $\sqrt{s_{\rm NN}}=200$ GeV. The measured $e^{\rm HF}$ $v_2$ at 54.4 GeV is also consistent with the expectation of their parent charm hadron $v_2$ following number-of-constituent-quark scaling as other light and strange flavor hadrons at this energy. These suggest that charm quarks gain significant collectivity through the evolution of the QCD medium and may reach local thermal equilibrium in Au+Au collisions at $\sqrt{s_{\rm NN}}=54.4$ GeV. The measured $e^{\rm HF}$ $v_2$ in Au+Au collisions at $\sqrt{s_{\rm NN}}=$ 27 GeV is consistent with zero within large uncertainties. The energy dependence of $v_2$ for different flavor particles ($\pi,\phi,D^{0}/e^{\rm HF}$) shows an indication of quark mass hierarchy in reaching thermalization in high-energy nuclear collisions.
DOI: 10.17182/hepdata.138996.v1/t5
title: "Table 5" of "Elliptic Flow of Heavy-Flavor Decay Electrons in Au+Au Collisions at $\sqrt{s_{_{\rm NN}}}$ = 27 and 54.4 GeV at RHIC"

description: Energy dependence of $v_2$ for $\pi^{\pm}$, $\phi$, $D^0$ and $e^{\rm HF}$ at the same transverse mass value $\left=\left$ = 0.93 GeV/$c^2$. The data points are from or interpolated from STAR and ALICE measurements. The $e^{\rm HF}$ $v_2$ shown here is at the same parent $D^0$ meson transverse mass position using the decay kinematics calculated from PYTHIA6. Data points at the same energy are shifted horizontally for clarity. Error bars depict combined statistical and systematic uncertainties.
description: We report on new measurements of elliptic flow ($v_2$) of electrons from heavy-flavor hadron decays at mid-rapidity ($|y|&lt;0.8$) in Au+Au collisions at $\sqrt{s_{_{\rm NN}}}$ = 27 and 54.4 GeV from the STAR experiment. Heavy-flavor decay electrons ($e^{\rm HF}$) in Au+Au collisions at $\sqrt{s_{_{\rm NN}}}$ = 54.4 GeV exhibit a non-zero $v_2$ in the transverse momentum ($p_{\rm T}$) region of $p_{\rm T}&lt;$ 2 GeV/$c$ with the magnitude comparable to that at $\sqrt{s_{\rm NN}}=200$ GeV. The measured $e^{\rm HF}$ $v_2$ at 54.4 GeV is also consistent with the expectation of their parent charm hadron $v_2$ following number-of-constituent-quark scaling as other light and strange flavor hadrons at this energy. These suggest that charm quarks gain significant collectivity through the evolution of the QCD medium and may reach local thermal equilibrium in Au+Au collisions at $\sqrt{s_{\rm NN}}=54.4$ GeV. The measured $e^{\rm HF}$ $v_2$ in Au+Au collisions at $\sqrt{s_{\rm NN}}=$ 27 GeV is consistent with zero within large uncertainties. The energy dependence of $v_2$ for different flavor particles ($\pi,\phi,D^{0}/e^{\rm HF}$) shows an indication of quark mass hierarchy in reaching thermalization in high-energy nuclear collisions.
DOI: 10.17182/hepdata.138996.v1/t6
title: "Table 6" of "Elliptic Flow of Heavy-Flavor Decay Electrons in Au+Au Collisions at $\sqrt{s_{_{\rm NN}}}$ = 27 and 54.4 GeV at RHIC"

description: Energy dependence of $v_2$ for $\pi^{\pm}$, $\phi$, $D^0$ and $e^{\rm HF}$ at the same transverse mass value $\left=\left$ = 0.93 GeV/$c^2$. The data points are from or interpolated from STAR and ALICE measurements. The $e^{\rm HF}$ $v_2$ shown here is at the same parent $D^0$ meson transverse mass position using the decay kinematics calculated from PYTHIA6. Data points at the same energy are shifted horizontally for clarity. Error bars depict combined statistical and systematic uncertainties.
description: We report on new measurements of elliptic flow ($v_2$) of electrons from heavy-flavor hadron decays at mid-rapidity ($|y|&lt;0.8$) in Au+Au collisions at $\sqrt{s_{_{\rm NN}}}$ = 27 and 54.4 GeV from the STAR experiment. Heavy-flavor decay electrons ($e^{\rm HF}$) in Au+Au collisions at $\sqrt{s_{_{\rm NN}}}$ = 54.4 GeV exhibit a non-zero $v_2$ in the transverse momentum ($p_{\rm T}$) region of $p_{\rm T}&lt;$ 2 GeV/$c$ with the magnitude comparable to that at $\sqrt{s_{\rm NN}}=200$ GeV. The measured $e^{\rm HF}$ $v_2$ at 54.4 GeV is also consistent with the expectation of their parent charm hadron $v_2$ following number-of-constituent-quark scaling as other light and strange flavor hadrons at this energy. These suggest that charm quarks gain significant collectivity through the evolution of the QCD medium and may reach local thermal equilibrium in Au+Au collisions at $\sqrt{s_{\rm NN}}=54.4$ GeV. The measured $e^{\rm HF}$ $v_2$ in Au+Au collisions at $\sqrt{s_{\rm NN}}=$ 27 GeV is consistent with zero within large uncertainties. The energy dependence of $v_2$ for different flavor particles ($\pi,\phi,D^{0}/e^{\rm HF}$) shows an indication of quark mass hierarchy in reaching thermalization in high-energy nuclear collisions.
DOI: 10.17182/hepdata.139080.v1/t1
title: "Figure 3a" of "Measurement of electrons from open heavy-flavor hadron decays in Au+Au collisions at $\sqrt{s_{\rm NN}}=200$ GeV with the STAR detector"

description: Ratios of NPE (non-photonic electron) to PHE (photonic electron) as a function of $p_{\rm T}$ in 0-10% central (yellow circles) and 40-80% peripheral (green squares) Au+Au collisions at $\sqrt{s_{\rm NN}}=200$ GeV. Vertical bars represent statistical uncertainties while boxes represent systematic uncertainties. Horizontal bars indicate the bin width.
description: No data abstract available.
DOI: 10.17182/hepdata.139080.v1/t2
title: "Figure 4a" of "Measurement of electrons from open heavy-flavor hadron decays in Au+Au collisions at $\sqrt{s_{\rm NN}}=200$ GeV with the STAR detector"

description: Invariant yields of electrons from decays of prompt $J/\psi$ (dot-dashed line), $\Upsilon$ (dotted line), Drell-Yan (long dash-dotted line), light vector mesons (long dashed line) and the combined HDE (hadron decayed electron) contribution (solid line), estimated utilizing experimental measurements, theoretical calculations, and PYTHIA and $\rm E_{VT}G_{EN}$ event generators, in 0-10% central Au+Au collisions at $\sqrt{s_{\rm NN}}=200$ GeV. Color bands represent systematic uncertainties.
description: No data abstract available.
DOI: 10.17182/hepdata.139080.v1/t3
title: "Figure 4b" of "Measurement of electrons from open heavy-flavor hadron decays in Au+Au collisions at $\sqrt{s_{\rm NN}}=200$ GeV with the STAR detector"

description: Invariant yields of electrons from decays of prompt $J/\psi$ (dot-dashed line), $\Upsilon$ (dotted line), Drell-Yan (long dash-dotted line), light vector mesons (long dashed line) and the combined HDE (hadron decayed electron) contribution (solid line), estimated utilizing experimental measurements, theoretical calculations, and PYTHIA and $\rm E_{VT}G_{EN}$ event generators, in 40-80% central Au+Au collisions at $\sqrt{s_{\rm NN}}=200$ GeV. Color bands represent systematic uncertainties.
description: No data abstract available.
DOI: 10.17182/hepdata.139080.v1/t4
title: "Figure 5" of "Measurement of electrons from open heavy-flavor hadron decays in Au+Au collisions at $\sqrt{s_{\rm NN}}=200$ GeV with the STAR detector"

description: HFE (electrons from semileptonic decays of heavy-flavor hadrons) invariant yields in different centrality intervals of Au+Au collisions at $\sqrt{s_{\rm NN}}=200$ GeV. The vertical bars and the boxes represent statistical and systematic uncertainties, respectively. The horizontal bars indicate the bin width.
description: No data abstract available.
DOI: 10.17182/hepdata.139080.v1/t5
title: "Figure 6" of "Measurement of electrons from open heavy-flavor hadron decays in Au+Au collisions at $\sqrt{s_{\rm NN}}=200$ GeV with the STAR detector"

description: HFE (electrons from semileptonic decays of heavy-flavor hadrons) $R_{\rm AA}$ (red circles) as a function of $p_{\rm T}$ in different centrality intervals of Au+Au collisions at $\sqrt{s_{\rm NN}}=200$ GeV, compared with STAR (yellow stars) and PHENIX (green squares) published results, and Duke ((modified Langevin transport model, blue line) and PHSD (parton-hadron-string dynamics model, orange line) model calculations. Vertical bars and boxes around data points represent combined statistical and systematic uncertainties from both Au+Au and $p$+$p$ measurements, respectively. Boxes at unity show the global uncertainties, which for this analysis include the 8% global uncertainty on $p$+$p$ reference and the $N_{\rm coll}$ uncertainties. The left box is for PHENIX and the right one for STAR.
description: No data abstract available.
DOI: 10.17182/hepdata.139080.v1/t6
title: "Figure 7" of "Measurement of electrons from open heavy-flavor hadron decays in Au+Au collisions at $\sqrt{s_{\rm NN}}=200$ GeV with the STAR detector"

description: HFE (electrons from semileptonic decays of heavy-flavor hadrons) $R_{\rm AA}$ (red circles) as a function of $N_{\rm part}$ in Au+Au collisions at $\sqrt{s_{\rm NN}}=200$ GeV, compared with PHENIX measurements (green squares), and Duke (blue line) and PHSD (orange line) model calculations. Vertical bars and boxes around data points represent statistical and systematic uncertainties from Au+Au measurements, respectively. The gray band represents the $N_{\rm coll}$ uncertainties. The boxes at unity show the global uncertainties including the total uncertainties of the $p$+$p$ reference.
description: No data abstract available.
DOI: 10.17182/hepdata.139081.v1/t1
title: "Figure 2.0" of "Hyperon polarization along the beam direction relative to the second and third harmonic event planes in isobar collisions at $\sqrt{s_{NN}}$ = 200 GeV"

description: $sgn(\alpha_H)\langle\cos(\theta_p^{\ast})\rangle$ of $\Lambda$ and $\bar{\Lambda}$ as a function of hyperon azimuthal angle relative to the second-order event plane in isobar collisions at 200 GeV.
description: The polarization of $\Lambda$ and $\bar{\Lambda}$ hyperons along the beam direction has been measured relative to the second and third harmonic event planes in isobar Ru+Ru and Zr+Zr collisions at $\sqrt{s_{NN}}$ = 200 GeV. The second harmonic results follow the emission angle dependence as expected due to elliptic flow, similar to that observed in Au+Au collisions. The polarization relative to the third harmonic event plane, measured for the first time, deviates from zero with 4.8$\sigma$ significance in 20-60\% centrality for $1.1
DOI: 10.17182/hepdata.139081.v1/t2
title: "Figure 2.1" of "Hyperon polarization along the beam direction relative to the second and third harmonic event planes in isobar collisions at $\sqrt{s_{NN}}$ = 200 GeV"

description: $sgn(\alpha_H)\langle\cos(\theta_p^{\ast})\rangle$ of $\Lambda$ and $\bar{\Lambda}$ as a function of hyperon azimuthal angle relative to the third-order event plane in isobar collisions at 200 GeV.
description: The polarization of $\Lambda$ and $\bar{\Lambda}$ hyperons along the beam direction has been measured relative to the second and third harmonic event planes in isobar Ru+Ru and Zr+Zr collisions at $\sqrt{s_{NN}}$ = 200 GeV. The second harmonic results follow the emission angle dependence as expected due to elliptic flow, similar to that observed in Au+Au collisions. The polarization relative to the third harmonic event plane, measured for the first time, deviates from zero with 4.8$\sigma$ significance in 20-60\% centrality for $1.1
DOI: 10.17182/hepdata.139081.v1/t3
title: "Figure 3" of "Hyperon polarization along the beam direction relative to the second and third harmonic event planes in isobar collisions at $\sqrt{s_{NN}}$ = 200 GeV"

description: $P_z$ sine coefficients of $\Lambda+\bar{\Lambda}$ as a function of centrality in isobar collisions at 200 GeV.
description: The polarization of $\Lambda$ and $\bar{\Lambda}$ hyperons along the beam direction has been measured relative to the second and third harmonic event planes in isobar Ru+Ru and Zr+Zr collisions at $\sqrt{s_{NN}}$ = 200 GeV. The second harmonic results follow the emission angle dependence as expected due to elliptic flow, similar to that observed in Au+Au collisions. The polarization relative to the third harmonic event plane, measured for the first time, deviates from zero with 4.8$\sigma$ significance in 20-60\% centrality for $1.1
DOI: 10.17182/hepdata.139081.v1/t4
title: "Figure 4" of "Hyperon polarization along the beam direction relative to the second and third harmonic event planes in isobar collisions at $\sqrt{s_{NN}}$ = 200 GeV"

description: $P_z$ sine coefficients of $\Lambda+\bar{\Lambda}$ as a function of transverse momentum in isobar collisions at 200 GeV.
description: The polarization of $\Lambda$ and $\bar{\Lambda}$ hyperons along the beam direction has been measured relative to the second and third harmonic event planes in isobar Ru+Ru and Zr+Zr collisions at $\sqrt{s_{NN}}$ = 200 GeV. The second harmonic results follow the emission angle dependence as expected due to elliptic flow, similar to that observed in Au+Au collisions. The polarization relative to the third harmonic event plane, measured for the first time, deviates from zero with 4.8$\sigma$ significance in 20-60\% centrality for $1.1
DOI: 10.17182/hepdata.139081.v1/t5
title: "Figure 5" of "Hyperon polarization along the beam direction relative to the second and third harmonic event planes in isobar collisions at $\sqrt{s_{NN}}$ = 200 GeV"

description: $P_z$ sine coefficients of $\Lambda+\bar{\Lambda}$ as a function of the number of participants in isobar collisions at 200 GeV. The number of participants for isobar collisions were taken from Table III of Phys.Rev.C105, 014901 (2022) and averaged. Same data as the centrality dependence in Fig. 3.
description: The polarization of $\Lambda$ and $\bar{\Lambda}$ hyperons along the beam direction has been measured relative to the second and third harmonic event planes in isobar Ru+Ru and Zr+Zr collisions at $\sqrt{s_{NN}}$ = 200 GeV. The second harmonic results follow the emission angle dependence as expected due to elliptic flow, similar to that observed in Au+Au collisions. The polarization relative to the third harmonic event plane, measured for the first time, deviates from zero with 4.8$\sigma$ significance in 20-60\% centrality for $1.1
DOI: 10.34740/kaggle/dsv/13616120
title: Peer-to-Peer Boliviano (BOB) Exchange Data
DOI: 10.17182/hepdata.139174.v1/t1
title: "Figure 1" of "Single electrons from heavy flavor decays in p + p collisions at s**(1/2) = 200-GeV."

description: Inclusive electron invariant differential cross section.
description: The invariant differential cross section for inclusive electron production in $p$+$p$ collisions at $\sqrt{s}$ = 200 GeV has been measured by the PHENIX experiment at the Relativistic Heavy Ion Collider over the transverse momentum range $0.4 \le p_T \le 5.0$ GeV/$c$ at midrapidity ($|\eta| \le$ 0.35). The contribution to the inclusive electron spectrum from semileptonic decays of hadrons carrying heavy flavor, $i.e.$ charm quarks or, at high $p_T$, bottom quarks, is determined via three independent methods. The resulting electron spectrum from heavy flavor decays is compared to recent leading and next-to-leading order perturbative QCD calculations. The total cross section of charm quark-antiquark pair production is determined as $\sigma_{c\bar{c}}$ = 0.92 $\pm$0.15 (stat.) $\pm$0.54 (sys.) mb.
DOI: 10.17182/hepdata.139174.v1/t2
title: "Figure 3" of "Single electrons from heavy flavor decays in p + p collisions at s**(1/2) = 200-GeV."

description: Non-photonic electron invariant cross section.
description: The invariant differential cross section for inclusive electron production in $p$+$p$ collisions at $\sqrt{s}$ = 200 GeV has been measured by the PHENIX experiment at the Relativistic Heavy Ion Collider over the transverse momentum range $0.4 \le p_T \le 5.0$ GeV/$c$ at midrapidity ($|\eta| \le$ 0.35). The contribution to the inclusive electron spectrum from semileptonic decays of hadrons carrying heavy flavor, $i.e.$ charm quarks or, at high $p_T$, bottom quarks, is determined via three independent methods. The resulting electron spectrum from heavy flavor decays is compared to recent leading and next-to-leading order perturbative QCD calculations. The total cross section of charm quark-antiquark pair production is determined as $\sigma_{c\bar{c}}$ = 0.92 $\pm$0.15 (stat.) $\pm$0.54 (sys.) mb.
DOI: 10.17182/hepdata.139677.v1/t1
title: "First Raw q^2 Moment" of "Measurement of Lepton Mass Squared Moments in $B \to X_c \ell \bar \nu_{\ell}$ Decays with the Belle II Experiment"

description: Measurements of the first raw q^2 moments in GeV^2 measured with a lower q^2 treshold starting at 1.5 GeV^2 up to 8.5 GeV^2
description: We present measurements of the first to fourth moments of the lepton mass squared $q^2$ of $b \to c \ell \nu$ decays for $\ell = e, \mu$ and with $X_c$ a hadronic system containing a charm quark.These results use a sample of electron-positron collisions at the $\Upsilon(4S)$ resonance corresponding to \lumi of integrated luminosity and collected by the Belle~II experiment in 2019 and 2020.To identify the $X_c$ system and reconstruct $q^2$, one of the $B$ mesons from an $\Upsilon(4S) \to B \bar{B}$ decay is fully reconstructed in a hadronic decay mode using a multivariate $B$ tagging algorithm.We report raw and central moments for $ q^2 &gt; 1.5 \, \mathrm{GeV}^2/c^4$ up to $q^2&gt; 8.5 \, \mathrm{GeV}^2/c^4$, probing up to 77\% of the accessible $b \to c \ell \nu$ phase space. This is the first measurement of moments in the experimentally challenging range of $[ 1.5, 2.5 ] \, \mathrm{GeV}^2/c^4$. The results can be used for a new determination of $|V_{cb}|$ using inclusive $b \to c \ell \nu$ decays.
DOI: 10.17182/hepdata.139677.v1/t2
title: "Second Raw q^2 Moment" of "Measurement of Lepton Mass Squared Moments in $B \to X_c \ell \bar \nu_{\ell}$ Decays with the Belle II Experiment"

description: Measurements of the second raw q^2 moments in GeV^4 measured with a lower q^2 treshold starting at 1.5 GeV^2 up to 8.5 GeV^2
description: We present measurements of the first to fourth moments of the lepton mass squared $q^2$ of $b \to c \ell \nu$ decays for $\ell = e, \mu$ and with $X_c$ a hadronic system containing a charm quark.These results use a sample of electron-positron collisions at the $\Upsilon(4S)$ resonance corresponding to \lumi of integrated luminosity and collected by the Belle~II experiment in 2019 and 2020.To identify the $X_c$ system and reconstruct $q^2$, one of the $B$ mesons from an $\Upsilon(4S) \to B \bar{B}$ decay is fully reconstructed in a hadronic decay mode using a multivariate $B$ tagging algorithm.We report raw and central moments for $ q^2 &gt; 1.5 \, \mathrm{GeV}^2/c^4$ up to $q^2&gt; 8.5 \, \mathrm{GeV}^2/c^4$, probing up to 77\% of the accessible $b \to c \ell \nu$ phase space. This is the first measurement of moments in the experimentally challenging range of $[ 1.5, 2.5 ] \, \mathrm{GeV}^2/c^4$. The results can be used for a new determination of $|V_{cb}|$ using inclusive $b \to c \ell \nu$ decays.