Elastic energy loss and longitudinal straggling of a hard jet
arXiv:0810.4967 · doi:10.1103/PhysRevC.80.031902
Abstract
The elastic energy loss encountered by jets produced in deep-inelastic scattering (DIS) off a large nucleus is studied in the collinear limit. In close analogy to the case of (non-radiative) transverse momentum broadening, which is dependent on the medium transport coefficient , a class of medium enhanced higher twist operators which contribute to the non-radiative loss of the forward light-cone momentum of the jet () are identified and the leading correction in the limit of asymptotically high is isolated. Based on these operator products, a new transport coefficient is motivated which quantifies the energy loss per unit length encountered by the hard jet. These operator products are then computed, explicitly, in the case of a similar hard jet traversing a deconfined quark-gluon-plasma (QGP) in the hard-thermal-loop (HTL) approximation. This is followed by an evaluation of sub-leading contributions which are suppressed by the light-cone momentum , which yields the longitudinal "straggling" i.e., a slight change in light cone momentum due to the Brownian propagation through a medium with a fluctuating color field.
5 pages, 1 figure, Revtex4
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