The heavy quark-antiquark asymmetry in the variable flavor number scheme

Behring, Arnd; Freitas, Abilio de; Blümlein, Johannes; Schönwald, Kay; von Manteuffel, Andreas; Schneider, Carsten

doi:10.1016/j.physletb.2026.140411

Journal Article

PUBDB-2026-01466

The heavy quark-antiquark asymmetry in the variable flavor number scheme

Behring, A.DESY* ; Blümlein, J. (Corresponding author)DESY* ; Freitas, A. d.Extern* ; von Manteuffel, A.Extern* ; Schneider, C.Extern* ; Schönwald, K.Extern*

2026
North-Holland Publ. Amsterdam

Physics letters / B 876, 140411 (2026) [10.1016/j.physletb.2026.140411]

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Please use a persistent id in citations: doi:10.1016/j.physletb.2026.140411 doi:10.3204/PUBDB-2026-01466

Report No.: CERN-TH-2025-259; DESY-25-185; MPP-2025-227; RISC Report series 25-10; arXiv:2512.13508

Abstract: The twist-2 heavy quark and antiquark distributions turn out to be different due to QCD corrections from three-loop onward. This is caused by terms containing the color factor $d_{abc} d^{abc}$ in the heavy flavor massive pure-singlet operator matrix elements (OMEs) $A^{\rm PS, s, (3)}_{Qq}$ for odd moments in the unpolarized case and for $\Delta A^{\rm PS, s,(3)}_{Qq}$ for even moments in the polarized case. Compared to the sum of the heavy quark and antiquark parton distributions their difference is small but non vanishing. We compute the corresponding three-loop heavy flavor distributions $(\Delta) f_Q(x,Q^2) - (\Delta) f_{\overline{Q}}(x,Q^2)$ in the variable flavor number scheme. The dependence on the factorization scale of the OMEs are ruled by the anomalous dimensions $\gamma^{\rm NS, s, (2)}_{qq}$ and $\Delta\gamma^{\rm NS, s, (2)}_{qq}$. The polarized calculations are performed in the Larin scheme.

Keyword(s): Parton distribution ; Mass effects ; Anomalous dimensions ; Massive operator matrix elements in QCD

Classification:

ddc:530

Note: 17 pages, 10 figures; funded by: HORIZON program in Marie Skłodowska-Curie project No. 101204018

Contributing Institute(s):

Zeuthen Particle PhysicsTheory (Z_ZPPT)

Research Program(s):

611 - Fundamental Particles and Forces (POF4-611) (POF4-611)

Experiment(s):

No specific instrument

Appears in the scientific report 2026

Database coverage:
Medline

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