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arXiv · 1304.7677

Radiative pT-broadening of high-energy quarks and gluons in QCD matter

Tseh Liou·A. H. Mueller·Bin Wu
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Abstract

We study radiative $p_{\perp}$-broadening of high energy quarks passing through hot and cold QCD matter. With $L$ the length of the matter and $l_{0}$ the size of constituents of the matter we find $\avg{p_{\perp}^{2}}$ has both double logarithmic terms, $\ln^{2}(L/l_{0})$, and single logarithmic terms, $\ln(L/l_{0})$, coming from gluon radiation induced by the matter. We use a (slight) extension of a formalism developed by B. Zakharov for studying energy loss, a formalism which, for much of our calculation, reduces to a simple dipole scattering analysis. We estimate the radiative contribution to be a sizable correction to the nonradiative value of $\avg{p_{\perp}^{2}}$. We also carry out a resummation of the double logarithmic terms that we find, and we briefly discuss running coupling effects which appear here in a rather unusual way.

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Tseh Liou, A. H. Mueller, Bin Wu. 2013-09-04. Radiative pT-broadening of high-energy quarks and gluons in QCD matter. https://doi.org/10.1016/j.nuclphysa.2013.08.005

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