The LPM effect in sequential bremsstrahlung: nearly complete results for QCD

Arnold, Peter; Gorda, Tyler; Iqbal, Shahin

doi:10.1007/jhep11(2020)053

The LPM effect in sequential bremsstrahlung: nearly complete results for QCD

Journal Article · Wed Nov 11 00:00:00 EST 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep11(2020)053· OSTI ID:1774061

^[1]; Gorda, Tyler ^[2]; Iqbal, Shahin ^[3]

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

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 of two consecutive splitting processes overlap (which is important for understanding corrections to standard treatments of the LPM effect in QCD), avoiding soft-emission approximations. Previous work has computed overlap effects for double splitting g → gg → ggg. To make use of those results, one also needs calculations of related virtual loop corrections to single splitting g → gg in order to cancel severe (power-law) infrared (IR) divergences. This paper provides calculations of nearly all such processes involving gluons and discusses how to organize the results to demonstrate the cancellation. In the soft emission limit, our results reproduce the known double-log behavior of earlier authors who worked in leading-log approximation. We also present a first (albeit numerical and not yet analytic) investigation of sub-leading, single IR logarithms. Ultraviolet divergences appearing in our calculations correctly renormalize the coupling αs in the usual LPM result for leading-order g → gg.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0007984

OSTI ID:: 1774061

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 11 Vol. 2020; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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