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Glauber quark and gluon contributions to quark energy loss at next-to-leading order and next-to-leading twist

Amit Kumar* and Gojko Vujanovic†

  • *Contact author: amit.kumar@uregina.ca
  • †Contact author: gojko.vujanovic@uregina.ca
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Phys. Rev. C 113, 055207 – Published 11 May, 2026

DOI: https://doi.org/10.1103/qsb9-qbhb

Abstract

The higher-twist formalism is used at O(αs2) to compute all possible medium-induced single-scattering emission kernels for an incoming highly energetic and virtual quark traversing the nuclear environment. The effects of the heavy-quark mass scale are taken into account [Phys. Rev. C 94, 054902 (2016)] both in the initial state as well as in the final state, along with interactions involving both in-medium Glauber gluons and quarks [Nucl. Phys. A 793, 128 (2007)], as well as coherence effects [Phys. Rev. C 105, 024908 (2022)]. As this study is a continuation of our work on medium-induced photon production [Phys. Rev. C 112, 025204 (2025)], the general factorization procedure for e−A deep-inelastic scattering is still used. An incoming quark energy loss in the nuclear medium yields four possible scattering kernels Ki with the following final states: (i) q+g; (ii) g+g; and (iii) q+q¯′, where the quark q may have a flavor different from the antiquark q¯′; and (iv) q+q′, where, again, q may have a flavor different from q′. The collisional kernels include full phase factors from all nonvanishing diagrams and complete first-order derivative in the longitudinal direction (k−) as well as second-order derivative in the transverse momentum (k⊥) gradient expansion. Furthermore, in-medium parton distribution functions and the related jet transport coefficients have a hard transverse-momentum dependence (of the emitted quark or gluon) present within the phase factor.

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Phys. Rev. C 113, 055207– Published 11 May, 2026
  • Received 30 September 2025
  • Revised 19 March 2026
  • Accepted 1 April 2026
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