Helicity evolution at small x : Revised asymptotic results at large Nc and Nf
Adamiak, D., Kovchegov, Y. V., & Tawabutr, Y. (2023). Helicity evolution at small x : Revised asymptotic results at large Nc and Nf. Physical Review D, 108, Article 054005. https://doi.org/10.1103/PhysRevD.108.054005
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We present a numerical solution of the revised version [J. High Energy Phys. 07 (2022) 095] of the small-x helicity evolution equations from [J. High Energy Phys. 01 (2016) 072, Phys. Rev. D 99, 054032 (2019)] at large Nc and Nf. (Here Nc and Nf are the numbers of quark colors and flavors, respectively.) The evolution equations are double-logarithmic in the Bjorken x variable, resumming powers of αsln2(1/x) with αs the strong coupling constant. The large-Nc&Nf evolution we consider includes contributions of small-x quark emissions and is thus more realistic than the large-Nc one, which only involves gluon emissons. The evolution equations [J. High Energy Phys. 07 (2022) 095, J. High Energy Phys. 01 (2016) 072, Phys. Rev. D 99, 054032 (2019)] are written for the so-called “polarized dipole amplitudes,” which are related to the helicity distribution functions and the g1 structure function. Unlike the previously reported solution [J. High Energy Phys. 08 (2020) 014] of the earlier version of helicity evolution equations at large Nc&Nf [J. High Energy Phys. 01 (2016) 072, Phys. Rev. D 99, 054032 (2019)], our solution does not exhibit periodic oscillations in ln(1/x) for Nf<2Nc, while only showing occasional sign reversals. For Nf=2Nc, we report oscillations with ln(1/x), similar to those found earlier in [J. High Energy Phys. 08 (2020) 014]. We determine the intercept of our evolution for Nf<2Nc as well as the parameters of the oscillatory behavior for Nf=2Nc. We compare our results to the existing resummation [Z. Phys. C 72, 627 (1996)] and finite-order calculations for helicity-dependent quantities in the literature.
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European Commission; Research Council of FinlandFunding program(s)
RIA Research and Innovation Action, H2020; Research costs of Academy Research Fellow, AoF
The content of the publication reflects only the author’s view. The funder is not responsible for any use that may be made of the information it contains.
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This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics under contract No. DE-AC05-06OR23177 and Award No. DE-SC0004286. Y. T. is supported by the Academy of Finland, the Centre of Excellence in Quark Matter and project No. 346567, under the European Union’s Horizon 2020 research and innovation programme by the European Research Council (ERC, Grant agreement No. ERC-2018-ADG-835105 YoctoLHC) and by the STRONG-2020 project (Grant agreement No. 824093). The content of this article does not reflect the official opinion of the European Union and responsibility for the information and views expressed therein lies entirely with the authors. The work is performed within the framework of the Saturated Glue (SURGE) Topical Theory Collaboration. ...License
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