The LPM effect in sequential bremsstrahlung: dimensional regularizationReport as inadecuate

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Journal of High Energy Physics

, 2016:100

First Online: 19 October 2016Received: 05 July 2016Accepted: 06 October 2016 Abstract

The splitting processes of bremsstrahlung and pair production in a medium are coherent over large distances in the very high energy limit, which leads to a suppression known as the Landau-Pomeranchuk-Migdal LPM effect. Of recent interest is the case when the coherence lengths of two consecutive splitting processes overlap which is important for understanding corrections to standard treatments of the LPM effect in QCD. In previous papers, we have developed methods for computing such corrections without making soft-gluon approximations. However, our methods require consistent treatment of canceling ultraviolet UV divergences associated with coincident emission times, even for processes with tree-level amplitudes. In this paper, we show how to use dimensional regularization to properly handle the UV contributions. We also present a simple diagnostic test that any consistent UV regularization method for this problem needs to pass.

KeywordsQuark-Gluon Plasma Perturbative QCD Thermal Field Theory ArXiv ePrint: 1606.08853

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Author: Peter Arnold - Han-Chih Chang - Shahin Iqbal



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