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O($\alpha_s^2$) polarized heavy flavor corrections to deep-inelastic scattering at Q$^2$ ≫ m$^2$


Bierenbaum, I; Blümlein, J; De Freitas, A; Goedicke, A; Klein, S; Schönwald, Kay (2023). O($\alpha_s^2$) polarized heavy flavor corrections to deep-inelastic scattering at Q$^2$ ≫ m$^2$. Nuclear Physics, Section B, 988:116114.

Abstract

We calculate the quarkonic O($\alpha_s^2$) massive operator matrix elements and for the twist–2 operators and the associated heavy flavor Wilson coefficients in polarized deeply inelastic scattering in the region $Q^2>>M^2$ to O($\epsilon$) in the case of the inclusive heavy flavor contributions. The evaluation is performed in Mellin space, without applying the integration-by-parts method. The result is given in terms of harmonic sums. This leads to a significant compactification of the operator matrix elements and massive Wilson coefficients in the region derived previously in [1], which we partly confirm, and also partly correct. The results allow to determine the heavy flavor Wilson coefficients for $g1(x,Q^2)$ to $O(\alpha_s^2)$ for all but the power suppressed terms proportional to ($m^2/Q^2)^k, k>=1$. The results in momentum fraction z-space are also presented. We also discuss the small x effects in the polarized case. Numerical results are presented. We also compute the gluonic matching coefficients in the two–mass variable flavor number scheme to $O(\epsilon)$.

Abstract

We calculate the quarkonic O($\alpha_s^2$) massive operator matrix elements and for the twist–2 operators and the associated heavy flavor Wilson coefficients in polarized deeply inelastic scattering in the region $Q^2>>M^2$ to O($\epsilon$) in the case of the inclusive heavy flavor contributions. The evaluation is performed in Mellin space, without applying the integration-by-parts method. The result is given in terms of harmonic sums. This leads to a significant compactification of the operator matrix elements and massive Wilson coefficients in the region derived previously in [1], which we partly confirm, and also partly correct. The results allow to determine the heavy flavor Wilson coefficients for $g1(x,Q^2)$ to $O(\alpha_s^2)$ for all but the power suppressed terms proportional to ($m^2/Q^2)^k, k>=1$. The results in momentum fraction z-space are also presented. We also discuss the small x effects in the polarized case. Numerical results are presented. We also compute the gluonic matching coefficients in the two–mass variable flavor number scheme to $O(\epsilon)$.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Scopus Subject Areas:Physical Sciences > Nuclear and High Energy Physics
Uncontrolled Keywords:Nuclear and High Energy Physics
Language:English
Date:1 March 2023
Deposited On:05 Jan 2024 12:19
Last Modified:30 Jun 2024 01:36
Publisher:Elsevier
ISSN:0550-3213
OA Status:Gold
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1016/j.nuclphysb.2023.116114
Project Information:
  • : FunderEuropean Research Council
  • : Grant ID
  • : Project Title
  • : FunderStudienstiftung des Deutschen Volkes
  • : Grant ID
  • : Project Title
  • : FunderH2020 Marie Skłodowska-Curie Actions
  • : Grant ID
  • : Project Title
  • : FunderH2020
  • : Grant ID101019620
  • : Project TitleTOPUP - Theory of particle collider processes at ultimate precision
  • : FunderH2020
  • : Grant ID764850
  • : Project TitleSAGEX - Scattering Amplitudes: from Geometry to Experiment
  • Content: Published Version
  • Language: English
  • Licence: Creative Commons: Attribution 4.0 International (CC BY 4.0)