Final COMPASS results on the deuteron spin-dependent structure function<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msubsup><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:msubsup></mml:math>and the Bjorken sum rule

Adolph, C.; Aghasyan, M.; Akhunzyanov, R.; Alexeev, M.; Alexeev, G. D.; Amoroso, A.; Andrieux, V.; Анфимов, Н.; Аносов, В.; Augsten, K.; Augustyniak, W.; Austregesilo, A.; Azevedo, C.D.R.; Badełek, B.; Balestra, F.; Ball, M.; Barth, J.; Beck, R.; Bedfer, Y.; Bernhard, J.; Bicker, K.; Bielert, E.R.; Birsa, R.; Bodlak, M.; Bordalo, P.; Bradamante, F.; Braun, C.; Bressan, A.; Büchele, M.; Chang, W. C.; Chatterjee, C.; Chiosso, M.; Choi, I. J.; Chung, S. U.; Cicuttin, A.; Crespo, M.L.; Curiel, Q.; Torre, S. Dalla; Dasgupta, S.; Денисов, О.; Dhara, L.; Donskov, S.V.; Doshita, N.; Dreisbach, Ch.; Duic, V.; Dünnweber, W.; Dziewiecki, M.; Efremov, A.V.; Eversheim, P.D.; Eyrich, W.; Faessler, M.; Ferrero, A.; Finger, M.; Fischer, H.; Franco, C.; Hohenesche, N. du Fresne von; Jm, Friedrich; Frolov, V. V.; Fuchey, E.; Gautheron, F.; Gavrichtchouk, O.P.; Gerassimov, S.; Giarra, J.; Giordano, F.; Gnesi, I.; Gorzellik, M.; Grabmüller, S.; Grasso, A.; Perdekamp, M. Grosse; Grube, B.; Grussenmeyer, T.; Guskov, A.; Haas, Florian; Hahne, D.; Hamar, G.; Harrach, D. von; Heinsius, F. H.; Heitz, R.; Herrmann, F.; Horikawa, N.; d’Hose, N.; Hsieh, C.-Y.; Huber, S.; Ishimoto, S.; Иванов, А.; Ivanshin, Yu.; Iwata, Tadahisa; Jarý, V.; Joosten, R.; Jörg, P.; Kabuß, E. M.; Kerbizi, A.; Ketzer, B.; Khaustov, G.V.; Khokhlov, Yu.A.; Kisselev, Yu.; Klein, F.; Klimaszewski, K.; Koivuniemi, J.H.; Kolosov, V.N.; Kondo, K.; Königsmann, K.; Konorov, I.; Константинов, В.Ф.; Kotzinian, A.M.; Kouznetsov, O.; Krämer, M.; Kremser, P.; Krinner, F.; Kroumchtein, Z.V.; Kulinich, Y. P.; Kunne, F.; Kurek, K.; Kurjata, R.; Lednev, A.A.; Lehmann, A.; Levillain, M.; Levorato, S.; Lian, Y.-S.; Lichtenstadt, J.; Longo, Riccardo; Maggiora, A.; Magnon, A.; Makins, N.; Makke, N.; Mallot, G.K.; Mariański, B.; Martin, A.; Marzec, J.; Matoušek, Jan; Matsuda, Hiroki; Matsuda, T.; Meshcheryakov, G.; Meyer, M.; Meyer, W.; Mikhailov, Yu.V.; Mikhasenko, M.; Mitrofanov, E.; Mitrofanov, N.; Miyachi, Y.; Nagaytsev, A.; Nerling, F.; Neyret, D.; Nový, J.; Nowak, W.-D.; Nukazuka, G.; Nunes, A. S.; Оlshevsky, А.G.; Орлов, И.; Ostrick, M.; Panzieri, D.; Parsamyan, B.; Paul, S.; Peng, J.-C.; Pereira, F.; Pešek, M.; Peshekhonov, D.V.; Pierre, N.; Platchkov, S.; Pochodzalla, J.; Polyakov, V.A.; Pretz, J.; Quaresma, M.; Quintans, C.; Ramos, S.; Regali, C.; Reicherz, G.; Riedl, C.; Roskot, M.; Rossiyskaya, N.S.; Ryabchikov, D.I.; Рыбников, А.; Rychter, A.; Salac, R.; Samoylenko, V.D.; Sandacz, A.; Santos, C.; Sarkar, S.; Savin, I.; Sawada, T.; Sbrizzai, G.; Schiavon, P.; Schmidt, K.; Schmieden, H.; Schönning, K.; Seder, E.; Selyunin, A.; Silva, L.; Sinha, L.; Sirtl, S.; Slunečka, M.; Smolík, J.; Srnka, A.; Steffen, D.; Stolarski, M.; Subrt, O.; Šulc, M.; Suzuki, Hiromasa; Szabelski, A.; Szameitat, T.; Sznajder, P.; Takekawa, S.; Taševský, M.; Tessaro, S.; Tessarotto, F.; Thibaud, F.; Thiel, A.; Tosello, F.; Tskhay, V.; Uhl, S.; Vauth, A.; Veloso, J.F.C.A.; Virius, M.; Vondra, J.; Wallner, S.; Weisrock, T.; Wilfert, M.; Windmolders, R.; Wolbeek, J. ter; Заремба, К.; Závada, P.; Zavertyaev, M.; Zemlyanichkina, E.; Zhuravlev, N.; Ziembicki, M.; Zink, A.

doi:10.1016/j.physletb.2017.03.018

Cited by 53 publications

(50 citation statements)

References 28 publications

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“…± 0.05 evol. , [12], consistent with the value of a 0 obtained from the COMPASS NLO QCD fit [5]. In the MS scheme a 0 is identified with the total quark helicity contribution to the nucleon spin, a 0 MS = ∆Σ.…”

Section: Pos(dis2017)247supporting

confidence: 83%

Final COMPASS results on the spin-dependent structure functions $g_1^p$ and $g_1^d$ in the deep-inelastic and nonperturbative regions

Badełek¹

2017

Proceedings of XXV International Workshop on Deep-Inelastic Scattering and Related Subjects — PoS(DIS2017)

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Section: Pos(dis2017)247supporting

confidence: 83%

Final COMPASS results on the spin-dependent structure functions $g_1^p$ and $g_1^d$ in the deep-inelastic and nonperturbative regions

Badełek¹

2017

Proceedings of XXV International Workshop on Deep-Inelastic Scattering and Related Subjects — PoS(DIS2017)

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“…Let us study the asymptotic behavior of the O(a 4 s )-approximation for two basic functions D NS (a s ) and C NS Bjp (a s ), which enter the GCR and both were extracted from the concrete experimental data (see [107,108]). From phenomenological point of view one may realize that these studies are of interest for the values n f = 3, 4, 5, while the results, summarized above may attract definite interest to the behavior of the corresponding PT series, obtained within mMOM scheme with three specific values ξ = 0, −1, −3 of the gauge parameter.…”

Section: Asymptotic Behavior Of the Ns Adler And Bjorken Functions Atmentioning

confidence: 99%

Renormalization scheme and gauge (in)dependence of the generalized Crewther relation: what are the real grounds of the β-factorization property?

Garkusha

Kataev

Molokoedov

2018

J. High Energ. Phys.

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The problem of scheme and gauge dependence of the factorization property of the renormalization group β-function in the SU(N c ) QCD generalized Crewther relation (GCR), which connects the flavor non-singlet contributions to the Adler and Bjorken polarized sum rule functions, is investigated at the O(a 4 s ) level of perturbation theory. It is known that in the gauge-invariant renormalization MS-scheme this property holds in the QCD GCR at least at this order. To study whether this factorization property is true in all gauge-invariant schemes, we consider the MS-like schemes in QCD and the QED-limit of the GCR in the MS-scheme and in two other gauge-independent subtraction schemes, namely in the momentum MOM and the on-shell OS schemes. In these schemes we confirm the existence of the β-function factorization in the QCD and QED variants of the GCR. The problem of the possible β-factorization in the gauge-dependent renormalization schemes in QCD is studied. To investigate this problem we consider the gauge non-invariant mMOM and MOMgggg-schemes. We demonstrate that in the mMOM scheme at the O(a 3 s ) level the β-factorization is valid for three values of the gauge parameter ξ only, namely for ξ = −3, −1 and ξ = 0. In the O(a 4 s ) order of PT it remains valid only for case of the Landau gauge ξ = 0. The consideration of these two gauge-dependent schemes for the QCD GCR allows us to conclude that the factorization of RG β-function will always be implemented in any MOM-like renormalization schemes with linear covariant gauge at ξ = 0 and ξ = −3 at the O(a 3 s ) approximation. It is demonstrated that if factorization property for the MS-like 1 Affiliation from 2011 till 2015.Open Access, c The Authors. Article funded by SCOAP 3 .https://doi.org/10.1007/JHEP02(2018)161 JHEP02(2018)161schemes is true in all orders of PT, as theoretically indicated in the several works on the subject, then the factorization will also occur in the arbitrary MOM-like scheme in the Landau gauge in all orders of perturbation theory as well.

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“…The COMPASS Collaboration published its final results on the proton and deuteron spin structure functions [10,11], respectively g 1 p (x B ) and g 1 d (x B ), for photon virtualities squared, Q 2 , below and above 1 GeV 2 . The measurements on protons (deuterons) cover the range in x B from 0.7 down to the low region of 0.0025 (0.004), where experimental data are scarce.…”

Section: Wg6mentioning

confidence: 99%

Working Group 6 Summary

Hulse¹,

Horn²,

Kang³

2018

Proceedings of XXV International Workshop on Deep-Inelastic Scattering and Related Subjects — PoS(DIS2017)

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Experimental and theoretical knowledge acquired over the past decades as well as availability of new technology now enables revolutionary access to the multidimensional representation of the nucleon's inner structure. The framework to describe the distribution of quarks and gluons as a function of their longitudinal momentum fraction and respectively transverse position and transverse momentum is given by generalised parton distributions (GPDs) and transversemomentum-dependent (TMD) PDFs. These proceedings give an overview of experimental and theoretical progress, results and outlook on this subject shown at the Spin Physics working group of the DIS2017 Workshop.

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Final COMPASS results on the deuteron spin-dependent structure functiong1dand the Bjorken sum rule

Cited by 53 publications

References 28 publications

Final COMPASS results on the spin-dependent structure functions $g_1^p$ and $g_1^d$ in the deep-inelastic and nonperturbative regions

Final COMPASS results on the spin-dependent structure functions $g_1^p$ and $g_1^d$ in the deep-inelastic and nonperturbative regions

Renormalization scheme and gauge (in)dependence of the generalized Crewther relation: what are the real grounds of the β-factorization property?

Working Group 6 Summary

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