The LPM effect in sequential bremsstrahlung: incorporation of “instantaneous” interactions for QCD

Arnold, Peter; Gorda, Tyler; Iqbal, Shahin

doi:10.1007/jhep11(2022)130

The LPM effect in sequential bremsstrahlung: incorporation of “instantaneous” interactions for QCD

Journal Article · Wed Nov 23 00:00:00 EST 2022 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep11(2022)130· OSTI ID:1960784

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Univ. of Virginia, Charlottesville, VA (United States); University of Virginia
Technische Univ. Darmstadt (Germany); GSI Helmholtzzentrum für Schwerionenforschung GmbH, Darmstadt (Germany)
Quaid-i-Azam Univ. Campus, Islamabad (Pakistan); Central China Normal Univ., Wuhan (China)

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. We continue study of the case when the coherence lengths (formation lengths) of two consecutive splitting processes overlap, avoiding soft-emission approximations. Previous work made a “nearly-complete” calculation of the effect of overlapping formation times on gluonic splittings such as g → gg → ggg (with simplifying assumptions such as an infinite QCD medium and the large-N_c limit). In this paper, we extend those previous rate calculations from nearly-complete to complete by including processes involving the exchange of longitudinally-polarized gluons. In the context of Lightcone Pertubation Theory, used earlier for the “nearly-complete” calculation, such exchanges are instantaneous in lightcone time and have their own diagrammatic representation.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Virginia, Charlottesville, VA (United States)

Sponsoring Organization:: National Natural Science Foundation of China; USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0007974; SC0007984

OSTI ID:: 1960784

Alternate ID(s):: OSTI ID: 1960789

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 11 Vol. 2022; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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