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Soft gluon emission off a heavy quark revisited

Raktim Abir1, Carsten Greiner2, Mauricio Martinez3, Munshi G. Mustafa1, and Jan Uphoff2

  • 1Theory Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata 700064, India
  • 2Institute für Theoretische Physik, Johann Wolfgang Goethe University, Max-von-Laue-Straße 1, D-60438 Frankfurt, Germany
  • 3Departamento de Física de Partículas, Universidade de Santiago de Compostela, E-15782 Santiago de Compostela, Galicia, Spain

Phys. Rev. D 85, 054012 – Published 16 March, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.054012

Abstract

An improved generalized suppression factor for gluon emission off a heavy quark is derived within perturbative QCD, which is valid for the full range of rapidity of the radiated gluon and also has no restriction on the scaled mass of the quark with its energy. In the appropriate limit, it correctly reproduces the usual dead cone factor in the forward rapidity region. On the other hand, this improved suppression factor becomes close to unity in the backward direction. This indicates a small suppression of gluon emission in the backward region, which should have an impact on the phenomenology of heavy quark energy loss in the hot and dense matter produced in ultrarelativistic heavy ion collisions.

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