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  • Letter
  • Open Access

General heavy-flavor mass scheme for charged-current DIS at NNLO and beyond

Jun Gao1,2,3, T. J. Hobbs4,5,6,7, P. M. Nadolsky6, ChuanLe Sun1,2, and C.-P. Yuan8

  • 1INPAC, Shanghai Key Laboratory for Particle Physics and Cosmology & School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
  • 2Key Laboratory for Particle Astrophysics and Cosmology (MOE), Shanghai 200240, China
  • 3Center for High Energy Physics, Peking University, Beijing 100871, China
  • 4Fermi National Accelerator Laboratory, Batavia, Illinois 60510, USA
  • 5Department of Physics, Illinois Institute of Technology, Chicago, Illinois 60616, USA
  • 6Department of Physics, Southern Methodist University, Dallas, Texas 75275-0175, USA
  • 7Jefferson Lab, EIC Center, Newport News, Virginia 23606, USA
  • 8Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA

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Phys. Rev. D 105, L011503 – Published 25 January, 2022

DOI: https://doi.org/10.1103/PhysRevD.105.L011503

Abstract

Incompleteness in current knowledge of neutrino interactions with nuclear matter imposes a primary limitation in searches for leptonic CP violation carried out at long-baseline neutrino experiments. In this paper, we present a new computation that elevates the theoretical accuracy to next-to-next-to-leading order in QCD for charged-current deeply inelastic scattering processes relevant for ongoing and future neutrino programs. Mass-dependent quark contributions are consistently included across a wide range of momentum transfers in the simplified-ACOT-χ general-mass scheme. When appropriate, we further include next-to-next-to-next-to-leading order corrections in the zero-mass scheme. We show theoretical predictions for several experiments with neutrinos over a wide range of energies and at the upcoming electron-ion collider. Our prediction reduces perturbative uncertainties to ∼1%, sufficient for the high-precision objectives of future charged-current deeply inelastic scattering measurements, and provides important theoretical inputs to experimental studies of leptonic mixing and CP violations.

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Phys. Rev. D 105, L011503– Published 25 January, 2022
  • Received 14 July 2021
  • Accepted 11 January 2022
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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