The LPM effect in sequential bremsstrahlung

Arnold, Peter; Iqbal, Shahin

doi:10.1007/JHEP04(2015)070

The LPM effect in sequential bremsstrahlung

Journal Article · Wed Apr 15 00:00:00 EDT 2015 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP04(2015)070· OSTI ID:1454511

Arnold, Peter ^[1]; Iqbal, Shahin ^[2]

Univ. of Virginia, Charlottesville, VA (United States). Dept. of Physics; University of Virginia
Univ. of Virginia, Charlottesville, VA (United States). Dept. of Physics; Quaid-i-Azam Univ. Campus, 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 analyze 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. Previous authors have analyzed this problem in the case of overlapping double bremsstrahlung where at least one of the bremsstrahlung gluons is soft. Here we show how to generalize to include the case where both splittings are hard. A number of techniques must be developed, and so in this paper we simplify by (i) restricting attention to a subset of the interference effects, which we call the “crossed” diagrams, and (ii) working in the large-N_c limit. We first develop some general formulas that could in principle be implemented numerically (with substantial difficulty). To make more analytic progress, we then focus on the case of a thick, homogeneous medium and make the multiple scattering approximation (also known as the $$\hat{q}$$ or harmonic approximation) appropriate at high energy. Lastly, we show that the differential rate dΓ/dx dy for overlapping double bremsstrahlung of gluons with momentum fractions x and y can then be reduced to the calculation of a 1-dimensional integral, which we perform numerically.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0007984

OSTI ID:: 1454511

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 4 Vol. 2015; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited By (3)

Parton energy loss and the generalized jet transport coefficient Zhang, Yuan-Yuan; Qin, Guang-You; Wang, Xin-Nian Physical Review D, Vol. 100, Issue 7 https://doi.org/10.1103/physrevd.100.074031	journal	October 2019
Effect of the magnetic field on the photon radiation from quark–gluon plasma in heavy ion collisions Zakharov, B. G. The European Physical Journal C, Vol. 76, Issue 11 https://doi.org/10.1140/epjc/s10052-016-4451-8	journal	November 2016
Parton Energy Loss and the Generalized Jet Transport Coefficient Zhang, Yuan-Yuan; Qin, Guang-You; Wang, Xin-Nian arXiv https://doi.org/10.48550/arxiv.1905.12699	text	January 2019

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