The LPM effect in sequential bremsstrahlung

Arnold, Peter; Iqbal, Shahin

doi:10.1007/JHEP04(2015)070

Title: The LPM effect in sequential bremsstrahlung

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. 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.

Authors:

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

Univ. of Virginia, Charlottesville, VA (United States). Dept. of Physics
Univ. of Virginia, Charlottesville, VA (United States). Dept. of Physics; Quaid-i-Azam Univ. Campus, Islamabad (Pakistan)

Publication Date:: 2015-04-15

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

Sponsoring Org.:: USDOE

OSTI Identifier:: 1454511

Grant/Contract Number:: SC0007984

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 4; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Quark-Gluon Plasma; QCD

Citation Formats


                    Arnold, Peter, and Iqbal, Shahin. The LPM effect in sequential bremsstrahlung.  United States: N. p., 2015. 
Web.  doi:10.1007/JHEP04(2015)070.

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                    Arnold, Peter, & Iqbal, Shahin. The LPM effect in sequential bremsstrahlung.  United States.  https://doi.org/10.1007/JHEP04(2015)070

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                    Arnold, Peter, and Iqbal, Shahin. Wed .  
"The LPM effect in sequential bremsstrahlung".  United States.  https://doi.org/10.1007/JHEP04(2015)070.  https://www.osti.gov/servlets/purl/1454511.

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@article{osti_1454511,

  title        = {The LPM effect in sequential bremsstrahlung},

  author       = {Arnold, Peter and Iqbal, Shahin},

  abstractNote = {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-Nc 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.},

  doi          = {10.1007/JHEP04(2015)070},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 4,

  volume       = 2015,

  place        = {United States},

  year         = {2015},

  month        = {4}

}

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Works referencing / citing this record:

Parton energy loss and the generalized jet transport coefficient
journal, October 2019

Zhang, Yuan-Yuan; Qin, Guang-You; Wang, Xin-Nian
Physical Review D, Vol. 100, Issue 7
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Effect of the magnetic field on the photon radiation from quark–gluon plasma in heavy ion collisions
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Parton Energy Loss and the Generalized Jet Transport Coefficient
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Title: The LPM effect in sequential bremsstrahlung

Abstract

Citation Formats

Radiative energy loss of high energy quarks and gluons in a finite-volume quark-gluon plasma journal, January 1997

Medium-induced radiative energy loss; equivalence between the BDMPS and Zakharov formalisms journal, October 1998

A local Monte Carlo framework for coherent QCD parton energy loss journal, July 2011

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Multiple parton scattering in nuclei: parton energy loss journal, December 2001

The non-linear evolution of jet quenching journal, October 2014

On the energy loss of high energy quarks in a finite-size quark-gluon plasma journal, January 2001

The Landau-Pomeranchuk-Migdal effect in QED journal, November 1996

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Radiative energy loss and radiative p ⊥-broadening of high-energy partons in QCD matter journal, December 2014

Non-Abelian Energy Loss at Finite Opacity journal, December 2000

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Picturing perturbative parton cascades in QCD matter journal, January 2015

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Radiative parton energy loss and jet quenching in high-energy heavy-ion collisions journal, November 2004

Radiative energy loss and p⊥-broadening of high energy partons in nuclei journal, January 1997

Non-Lagrangian Models of Current Algebra journal, March 1969

Momentum broadening in weakly coupled quark-gluon plasma (with a view to finding the quasiparticles within liquid quark-gluon plasma) journal, May 2013

Radiative energy loss and radiative p⊥-broadening of high-energy partons in QCD matter journal, July 2016

Renormalization of the jet-quenching parameter journal, November 2014

Energy losses in relativistic plasmas: QCD versus QED [Energeticheskie poteri v relyativistskoi plazme: kvantovaya khromodinamika v sravnenii s kvantovoi elektrodinamikoi] journal, January 2009

Anomalous mass dependence of radiative quark energy loss in a finite-size quark-gluon plasma text, January 2009

Momentum Broadening in Weakly Coupled Quark-Gluon Plasma (with a view to finding the quasiparticles within liquid quark-gluon plasma) text, January 2012

Radiative pT-broadening of high-energy quarks and gluons in QCD matter text, January 2013

The non-linear evolution of jet quenching text, January 2014

Renormalization of the jet-quenching parameter text, January 2014

Picturing perturbative parton cascades in QCD matter text, January 2014

Multiple Parton Scattering in Nuclei: Parton Energy Loss text, January 2001

Photon and Gluon Emission in Relativistic Plasmas text, January 2002

Radiative parton energy loss and jet quenching in high-energy heavy-ion collisions text, January 2004

The Landau-Pomeranchuk-Migdal effect in QED text, January 1996

Radiative energy loss of high energy quarks and gluons in a finite volume quark-gluon plasma text, January 1996

Radiative energy loss of high energy quarks in finite-size nuclear matter and quark-gluon plasma text, January 1997

Medium-induced radiative energy loss; equivalence between the BDMPS and Zakharov formalisms text, January 1998

Non-Abelian Energy Loss at Finite Opacity text, January 2000

Parton energy loss and the generalized jet transport coefficient journal, October 2019

Effect of the magnetic field on the photon radiation from quark–gluon plasma in heavy ion collisions journal, November 2016

Parton Energy Loss and the Generalized Jet Transport Coefficient text, January 2019

Radiative energy loss of high energy quarks and gluons in a finite-volume quark-gluon plasma
journal, January 1997

Medium-induced radiative energy loss; equivalence between the BDMPS and Zakharov formalisms
journal, October 1998

A local Monte Carlo framework for coherent QCD parton energy loss
journal, July 2011

Reaction operator approach to non-abelian energy loss
journal, January 2001

Anomalous mass dependence of radiative quark energy loss in a finite-size quark-gluon plasma
journal, October 2009

Fully quantum treatment of the Landau-Pomeranchik-Migdal effect in QED and QCD
journal, June 1996

Partons in quantum chromodynamics
journal, January 1982

Radiative energy loss of high-energy quarks in finite-size nuclear matter and quark-gluon plasma
journal, April 1997

Renormalization of the jet-quenching parameter
journal, September 2014

Multiple parton scattering in nuclei: parton energy loss
journal, December 2001

The non-linear evolution of jet quenching
journal, October 2014

On the energy loss of high energy quarks in a finite-size quark-gluon plasma
journal, January 2001

The Landau-Pomeranchuk-Migdal effect in QED
journal, November 1996

Bremsstrahlung and Pair Production in Condensed Media at High Energies
journal, September 1956

Radiative energy loss and radiative p ⊥-broadening of high-energy partons in QCD matter
journal, December 2014

Non-Abelian Energy Loss at Finite Opacity
journal, December 2000

A perturbative framework for jet quenching
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journal, January 2015

Radiative -broadening of high-energy quarks and gluons in QCD matter
journal, October 2013

Photon and gluon emission in relativistic plasmas
journal, June 2002

Energy losses in relativistic plasmas: QCD versus QED
journal, July 2009

Radiative parton energy loss and jet quenching in high-energy heavy-ion collisions
journal, November 2004

Radiative energy loss and p⊥-broadening of high energy partons in nuclei
journal, January 1997

Non-Lagrangian Models of Current Algebra
journal, March 1969

Momentum broadening in weakly coupled quark-gluon plasma (with a view to finding the quasiparticles within liquid quark-gluon plasma)
journal, May 2013

Radiative energy loss and radiative p⊥-broadening of high-energy partons in QCD matter
journal, July 2016

Renormalization of the jet-quenching parameter
journal, November 2014

Energy losses in relativistic plasmas: QCD versus QED [Energeticheskie poteri v relyativistskoi plazme: kvantovaya khromodinamika v sravnenii s kvantovoi elektrodinamikoi]
journal, January 2009

Anomalous mass dependence of radiative quark energy loss in a finite-size quark-gluon plasma
text, January 2009

Momentum Broadening in Weakly Coupled Quark-Gluon Plasma (with a view to finding the quasiparticles within liquid quark-gluon plasma)
text, January 2012

Radiative pT-broadening of high-energy quarks and gluons in QCD matter
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The non-linear evolution of jet quenching
text, January 2014

Renormalization of the jet-quenching parameter
text, January 2014

Picturing perturbative parton cascades in QCD matter
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Multiple Parton Scattering in Nuclei: Parton Energy Loss
text, January 2001

Photon and Gluon Emission in Relativistic Plasmas
text, January 2002

Radiative parton energy loss and jet quenching in high-energy heavy-ion collisions
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The Landau-Pomeranchuk-Migdal effect in QED
text, January 1996

Radiative energy loss of high energy quarks and gluons in a finite volume quark-gluon plasma
text, January 1996

Radiative energy loss of high energy quarks in finite-size nuclear matter and quark-gluon plasma
text, January 1997

Medium-induced radiative energy loss; equivalence between the BDMPS and Zakharov formalisms
text, January 1998

Non-Abelian Energy Loss at Finite Opacity
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Parton energy loss and the generalized jet transport coefficient
journal, October 2019

Effect of the magnetic field on the photon radiation from quark–gluon plasma in heavy ion collisions
journal, November 2016

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