Elastic energy loss and longitudinal straggling of a hard jet

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2009-09-23

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American Physical Society

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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 (nonradiative) transverse momentum broadening, which is dependent on the medium transport coefficient qˆ, a class of medium enhanced higher twist operators which contribute to the nonradiative loss of the forward light-cone momentum of the jet (q^-) are identified and the leading correction in the limit of asymptotically high q^- is isolated. Based on these operator products, a new transport coefficient ê 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 subleading contributions which are suppressed by the inverse light-cone momentum q^-, 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.

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A. Majumder, "Elastic energy loss and longitudinal straggling of a hard jet," Physical Review C 80, no. 3 (2009), doi:10.1103/PhysRevC.80.031902