On p_T-broadening of high energy partons associated with the LPM effect in a finite-volume QCD medium

Physics – High Energy Physics – High Energy Physics - Phenomenology

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19 pages, focusing only on calculations about the medium-induced diagrams, origin for double-log reinterpreted, final version

Scientific paper

10.1007/JHEP10(2011)029

We study the contributions from radiation to $p_{\perp}$-broadening of a high energy parton traversing a QCD medium with a finite length $L$. The interaction between the parton and the medium is described by decorrelated static multiple scattering. Amplitudes of medium-induced gluon emission and parton self-energy diagrams are evaluated in the soft gluon limit in the BDMPS formalism. We find both the double-logarithmic correction from incoherent scattering, which is parametrically the same as that in single scattering, and the logarithmic correction from the LPM effect. Therefore, we expect a parametrically large correction from radiation to the medium-induced $p_\perp$-broadening in perturbative QCD.

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