Final COMPASS results on the deuteron spin-dependent structure function $g_1^{\rm d}$ and the Bjorken sum rule
Creators: name: Adolph, C.
name: Aghasyan, M.
name: Akhunzyanov, R.
name: Alexeev, M. G.
name: Alexeev, G. D.
name: Amoroso, A.
name: Andrieux, V.
name: Anfimov, N. V.
name: Anosov, V.
name: Augsten, K.
name: Augustyniak, W.
name: Austregesilo, A.
name: Azevedo, C. D. R.
name: Badelek, B.
name: Balestra, F.
name: Ball, M.
name: Barth, J.
name: Beck, R.
name: Bedfer, Y.
name: Bernhard, J.
name: Bicker, K.
name: Bielert, E. R.
name: Birsa, R.
name: Bodlak, M.
name: Bordalo, P.
name: Bradamante, F.
name: Braun, C.
name: Bressan, A.
name: Buechele, M.
name: Chang, W. -C.
name: Chatterjee, C.
name: Chiosso, M.
name: Choi, I.
name: Chung, S. -U.
name: Cicuttin, A.
name: Crespo, M. L.
name: Curiel, Q.
name: Torre, S. Dalla
name: Dasgupta, S. S.
name: Dasgupta, S.
name: Denisov, O. Yu.
name: Dhara, L.
name: Donskov, S. V.
name: Doshita, N.
name: Dreisbach, Ch.
name: Duic, V.
name: Duennweber, W.
name: Dziewiecki, M.
name: Efremov, A.
name: Eversheim, P. D.
name: Eyrich, W.
name: Faessler, M.
name: Ferrero, A.
name: Finger, M.
name: Finger, M.
name: Fischer, H.
name: Franco, C.
name: von Hohenesche, N. du Fresne
name: Friedrich, J. M.
name: Frolov, V.
name: Fuchey, E.
name: Gautheron, F.
name: Gavrichtchouk, O. P.
name: Gerassimov, S.
name: Giarra, J.
name: Giordano, F.
name: Gnesi, I.
name: Gorzellik, M.
name: Grabmueller, S.
name: Grasso, A.
name: Perdekamp, M. Grosse
name: Grube, B.
name: Grussenmeyer, T.
name: Guskov, A.
name: Haas, F.
name: Hahne, D.
name: Hamar, G.
name: von Harrach, D.
name: Heinsius, F. H.
name: Heitz, R.
name: Herrmann, F.
name: Horikawa, N.
name: d'Hose, N.
name: Hsieh, C. -Y.
name: Huber, S.
name: Ishimoto, S.
name: Ivanov, A.
name: Ivanshin, Yu.
name: Iwata, T.
name: Jary, V.
name: Joosten, R.
name: Joerg, P.
name: Kabuss, E.
name: Kerbizi, A.
name: Ketzer, B.
name: Khaustov, G. V.
name: Khokhlov, Yu. A.
name: Kisselev, Yu.
name: Klein, F.
name: Klimaszewski, K.
name: Koivuniemi, J. H.
name: Kolosov, V. N.
name: Kondo, K.
name: Koenigsmann, K.
name: Konorov, I.
name: Konstantinov, V. F.
name: Kotzinian, A. M.
name: Kouznetsov, O. M.
name: Kraemer, M.
name: Kremser, P.
name: Krinner, F.
name: Kroumchtein, Z. V.
name: Kulinich, Y.
name: Kunne, F.
name: Kurek, K.
name: Kurjata, R. P.
name: Lednev, A. A.
name: Lehmann, A.
name: Levillain, M.
name: Levorato, S.
name: Lian, Y. -S.
name: Lichtenstadt, J.
name: Longo, R.
name: Maggiora, A.
name: Magnon, A.
name: Makins, N.
name: Makke, N.
name: Mallot, G. K.
name: Marianski, B.
name: Martin, A.
name: Marzec, J.
name: Matousek, J.
name: Matsuda, H.
name: Matsuda, T.
name: Meshcheryakov, G. V.
name: Meyer, M.
name: Meyer, W.
name: Mikhailov, Yu. V.
name: Mikhasenko, M.
name: Mitrofanov, E.
name: Mitrofanov, N.
name: Miyachi, Y.
name: Nagaytsev, A.
name: Nerling, F.
name: Neyret, D.
name: Novy, J.
name: Nowak, W. -D.
name: Nukazuka, G.
name: Nunes, A. S.
name: Olshevsky, A. G.
name: Orlov, I.
name: Ostrick, M.
name: Panzieri, D.
name: Parsamyan, B.
name: Paul, S.
name: Peng, J. -C.
name: Pereira, F.
name: Pesek, M.
name: Peshekhonov, D. V.
name: Pierre, N.
name: Platchkov, S.
name: Pochodzalla, J.
name: Polyakov, V. A.
name: Pretz, J.
name: Quaresma, M.
name: Quintans, C.
name: Ramos, S.
name: Regali, C.
name: Reicherz, G.
name: Riedl, C.
name: Roskot, M.
name: Rossiyskaya, N. S.
name: Ryabchikov, D. I.
name: Rybnikov, A.
name: Rychter, A.
name: Salac, R.
name: Samoylenko, V. D.
name: Sandacz, A.
name: Santos, C.
name: Sarkar, S.
name: Savin, I. A.
name: Sawada, T.
name: Sbrizzai, G.
name: Schiavon, P.
name: Schmidt, K.
name: Schmieden, H.
name: Schoenning, K.
name: Seder, E.
name: Selyunin, A.
name: Silva, L.
name: Sinha, L.
name: Sirtl, S.
name: Slunecka, M.
name: Smolik, J.
name: Srnka, A.
name: Steffen, D.
name: Stolarski, M.
name: Subrt, O.
name: Sulc, M.
name: Suzuki, H.
name: Szabelski, A.
name: Szameitat, T.
name: Sznajder, P.
name: Takekawa, S.
name: Tasevsky, M.
name: Tessaro, S.
name: Tessarotto, F.
name: Thibaud, F.
name: Thiel, A.
name: Tosello, F.
name: Tskhay, V.
name: Uhl, S.
name: Veloso, J.
name: Virius, M.
name: Vondra, J.
name: Wallner, S.
name: Weisrock, T.
name: Wilfert, M.
name: Windmolders, R.
name: ter Wolbeek, J.
name: Zaremba, K.
name: Zavada, P.
name: Zavertyaev, M.
name: Zemlyanichkina, E.
name: Zhuravlev, N.
name: Ziembicki, M.
name: Zink, A.
Publisher: name: arXiv
Year: 2016
Subjects: subject: High Energy Physics - Experiment (hep-ex)
subject: FOS: Physical sciences
subject: FOS: Physical sciences

description: Final results are presented from the inclusive measurement of deep-inelastic polarised-muon scattering on longitudinally polarised deuterons using a $^6$LiD target. The data were taken at $160~{\rm GeV}$ beam energy and the results are shown for the kinematic range $1~({\rm GeV}/c)^2 &lt; Q^2 &lt; 100~({\rm GeV}/c)^2$ in photon virtuality, $0.004 4~{\rm GeV}/c^2$ in the mass of the hadronic final state. The deuteron double-spin asymmetry $A_1^{\rm d}$ and the deuteron longitudinal-spin structure function $g_1^{\rm d}$ are presented in bins of $x$ and $Q^2$. Towards lowest accessible values of $x$, $g_1^{\rm d}$ decreases and becomes consistent with zero within uncertainties. The presented final $g_1^{\rm d}$ values together with the recently published final $g_1^{\rm p}$ values of COMPASS are used to again evaluate the Bjorken sum rule and perform the QCD fit to the $g_1$ world data at next-to-leading order of the strong coupling constant. In both cases, changes in central values of the resulting numbers are well within statistical uncertainties. The flavour-singlet axial charge $a_0$, {which is identified in the $\overline{\rm MS}$ renormalisation scheme with the total contribution of quark helicities to the nucleon spin}, is extracted from only the COMPASS deuteron data with negligible extrapolation uncertainty: $a_0 (Q^2 = 3~({\rm GeV}/c)^2) = 0.32 \pm 0.02_{\rm stat} \pm0.04_{\rm syst} \pm 0.05_{\rm evol}$. Together with the recent results on the proton spin structure function $g_1^{\rm p}$, the results on $g_1^{\rm d}$ constitute the COMPASS legacy on the measurements of $g_1$ through inclusive spin-dependent deep inelastic scattering.
description: 16 pages, 6 figures