Abstract:

The approximate SACOT-𝜒 scheme for heavy quark production in deep-inelastic scattering was initially formulated for the neutral current structure functions 𝐹2 and 𝐹𝐿. We extend this approach to the charged current case (also including 𝐹3), and thereby complete the definitions for the most relevant inclusive structure functions. Furthermore, we implement these structure functions in the open-source code apfel++ which provides fast numerical evaluations over a wide kinematic range; this addition to the apfel++ code is publicly available, with details provided in the Appendix. This SACOT-𝜒 implementation enables detailed numerical insights on the mass dependence of the structure functions and cross sections in the (𝑥,𝑄2)-plane for both neutral and charged current processes. We consider kinematic regions relevant for the experimental measurements from fixed-target 𝜈⁢DIS experiments (NuTeV, CCFR, and Chorus) and HERA, and also projections for the upcoming EIC. In particular, the 𝜈⁢DIS experiments reveal a surprisingly strong dependence on the mass effects, offering valuable insights that may help resolve long-standing challenges in accurately describing these datasets.

P. Risse, V. Bertone, T. Jezo, K. Kovarík, A. Kusina, F. Olness, I. Schienbein, „Heavy quark
mass effects in charged-current deep-inelastic scattering at approximate NNLO in the Aivazis-
Collins-Olness-Tung scheme“, Phys. Rev. D 112, 114004 (2025).

https://journals.aps.org/prd/abstract/10.1103/hmlr-p7zb

Related to Project C05