Abstract
We revisit the calculation of multiple parton scattering of a heavy quark in nuclei within the framework of recently improved high-twist factorization formalism, in which gauge invariance is ensured by a delicate setup of the initial partons' transverse momenta. We derive a new result for medium modified heavy quark fragmentation functions in deeply inelastic scattering. It is consistent with the previous calculation of light quark energy loss in the massless limit, but leads to a new correction term in the heavy quark case, which vanishes in the soft gluon radiation limit. We show numerically the significance of the new correction term in the calculation of heavy quark energy loss as compared to previous studies and with soft gluon radiation approximation.
Highlights
In the past decade, tremendous progress has been made in understanding the jet quenching phenomena via various observables in high-energy nucleus-nucleus collisions [1,2,3]
We derive a new result for medium modified heavy quark fragmentation functions in deeply inelastic scattering. It is consistent with the previous calculation of light quark energy loss in the massless limit, but leads to a new correction term in the heavy quark case, which vanishes in the soft gluon radiation limit
We show numerically the significance of the new correction term in the calculation of heavy quark energy loss as compared to previous studies and with soft gluon radiation approximation
Summary
Tremendous progress has been made in understanding the jet quenching phenomena via various observables in high-energy nucleus-nucleus collisions [1,2,3]. Several of the successful jet quenching models in explaining the experimental data on hadron or jet production are based on the high-twist expansion approach [9,10,11,12], where contributions from multiple scattering between a propagating jet and medium partons can be effectively factorized as higher twist corrections to the vacuum fragmentation functions. The first calculation within this framework is performed in the process of semi-inclusive electron-nucleus deep inelastic scattering (SIDIS), where the light quark energy loss is encoded into the medium modified quark fragmentation functions [9,10]. In analogy to the calculation in SIDIS, the effect of initial state parton energy loss in the Drell-Yan process is encoded in the medium modified beam quark distribution function [18].
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