Pascalutsa-Vanderhaeghen light-by-light sum rule from photon-photon collisions

Dai, Ling -Yun; Pennington, Michael R.

doi:10.1103/PhysRevD.95.056007

Title: Pascalutsa-Vanderhaeghen light-by-light sum rule from photon-photon collisions

Abstract

Light-by-light scattering sumrules based on general field theory principles relate cross-sections with different helicities. In this paper the simplest sumrule is tested for the $I=0$ and $$2$$ channels for \lq\lq real'' photon-photon collisions. Important contributions come from the long-lived pseudoscalar mesons and from di-meson intermediate states. The latest Amplitude Analysis of $$\gamma\gamma\to\pi\pi, \overline{K}K$ allows this contribution to be evaluated. Furthermore, we find that other multi-meson contributions up to 2.5~GeV are required to satisfy the sumrules. While data on three and four pion cross-sections exist, there is no information about their isospin and helicity decomposition. Nevertheless, we show the measured cross-sections are sufficiently large to ensure the sumrules for the helicity differences are likely fulfilled.

Authors:

Dai, Ling -Yun ^[1]; Pennington, Michael R. ^[2]

Forschungszentrum Julich, Julich (Germany); Indiana Univ., Bloomington, IN (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); College of William and Mary, Williamsburg, VA (United States)

Publication Date:: Mon Mar 06 00:00:00 EST 2017

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1345801

Alternate Identifier(s):: OSTI ID: 1345858

Report Number(s):: JLAB-THY-17-2396; DOE/OR/23177-4049; arXiv:1701.04460
Journal ID: ISSN 2470-0010; PRVDAQ; TRN: US1700650

Grant/Contract Number:: AC05-06OR23177; SFB/TR 110

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Volume: 95; Journal Issue: 5; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Dai, Ling -Yun, and Pennington, Michael R. Pascalutsa-Vanderhaeghen light-by-light sum rule from photon-photon collisions.  United States: N. p., 2017. 
Web.  doi:10.1103/PhysRevD.95.056007.

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                    Dai, Ling -Yun, & Pennington, Michael R. Pascalutsa-Vanderhaeghen light-by-light sum rule from photon-photon collisions.  United States.  https://doi.org/10.1103/PhysRevD.95.056007

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                    Dai, Ling -Yun, and Pennington, Michael R. Mon .  
"Pascalutsa-Vanderhaeghen light-by-light sum rule from photon-photon collisions".  United States.  https://doi.org/10.1103/PhysRevD.95.056007.  https://www.osti.gov/servlets/purl/1345801.

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@article{osti_1345801,

  title        = {Pascalutsa-Vanderhaeghen light-by-light sum rule from photon-photon collisions},

  author       = {Dai, Ling -Yun and Pennington, Michael R.},

  abstractNote = {Light-by-light scattering sumrules based on general field theory principles relate cross-sections with different helicities. In this paper the simplest sumrule is tested for the $I=0$ and $2$ channels for \lq\lq real'' photon-photon collisions. Important contributions come from the long-lived pseudoscalar mesons and from di-meson intermediate states. The latest Amplitude Analysis of $\gamma\gamma\to\pi\pi, \overline{K}K$ allows this contribution to be evaluated. Furthermore, we find that other multi-meson contributions up to 2.5~GeV are required to satisfy the sumrules. While data on three and four pion cross-sections exist, there is no information about their isospin and helicity decomposition. Nevertheless, we show the measured cross-sections are sufficiently large to ensure the sumrules for the helicity differences are likely fulfilled.},

  doi          = {10.1103/PhysRevD.95.056007},

  journal      = {Physical Review D},

  number       = 5,

  volume       = 95,

  place        = {United States},

  year         = {Mon Mar 06 00:00:00 EST 2017},

  month        = {Mon Mar 06 00:00:00 EST 2017}

}

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Works referenced in this record:

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Works referencing / citing this record:

Amplitude analysis of the anomalous decay $η^{'} \to π^{+} π^{-} γ$
journal, February 2018

Dai, Ling-Yun; Kang, Xian-Wei; Meißner, Ulf-G.
Physical Review D, Vol. 97, Issue 3
DOI: 10.1103/physrevd.97.036012

Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules
journal, October 2018

Gérardin, Antoine; Green, Jeremy; Gryniuk, Oleksii
Physical Review D, Vol. 98, Issue 7
DOI: 10.1103/physrevd.98.074501

Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules
text, January 2018

Gérardin, Antoine; Green, Jeremy; Gryniuk, Oleksii
Deutsches Elektronen-Synchrotron, DESY, Hamburg
DOI: 10.3204/pubdb-2018-04147

Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules
text, January 2018

Gérardin, Antoine; Green, Jeremy; Gryniuk, Oleksii
GSI Helmholtzzentrum fuer Schwerionenforschung, GSI, Darmstadt
DOI: 10.15120/gsi-2019-00678

Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules
text, January 2017

Gérardin, Antoine; Green, Jeremy; Gryniuk, Oleksii
Deutsches Elektronen-Synchrotron, DESY, Hamburg
DOI: 10.3204/pubdb-2017-13402

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Title: Pascalutsa-Vanderhaeghen light-by-light sum rule from photon-photon collisions

Abstract

Citation Formats

Measurement of the reaction γγ→π+π+π−π− at PETRA journal, September 1984

Review of Particle Physics journal, October 2016

Extraction of resonance parameter conference, January 2012

High-statistics measurement of neutral-pion pair production in two-photon collisions journal, September 2008

High-statistics study of neutral-pion pair production in two-photon collisions journal, March 2009

High statistics study of the f 0 ( 980 ) resonance in γ γ → π + π − production journal, March 2007

A partial wave analysis of the reaction journal, January 1997

K s 0 K? production in tagged and untagged ?? interactions journal, September 1989

Sum Rules for Light-by-Light Scattering journal, November 2010

First observation of the reactionγγ→π 2→π 0 π 0 π 0 journal, December 1990

Two photon couplings of the lightest isoscalars from BELLE data journal, September 2014

Summary of the search for four-quark states in γγ collisions journal, June 1991

Light-by-light scattering sum rules constraining meson transition form factors journal, June 2012

Study of π 0 pair production in single-tag two-photon collisions journal, February 2016

A compilation of data on two-photon reactions journal, November 2001

Amplitude analysis ofγγ→ππ from threshold to 1.4 GeV journal, December 1990

Comprehensive amplitude analysis of γ γ → π + π − , π 0 π 0 and K ¯ K below 1.5 GeV journal, August 2014

A compilation of data on two-photon reactions leading to hadron final states journal, August 1994

A measurement of γγ→ϱ+ϱ− journal, January 1989

High-statistics study of η π 0 production in two-photon collisions journal, August 2009

Summary of the search for four-quark states in γγ collisions [Itogi poiskov chetyrekhkvarkovykh sostoyanii v γγ-stolknoveniyakh] journal, January 1991

High Statistics Measurement of the Cross Sections of γγ→π + π - Production journal, July 2007

High-statistics study of KFormula pair production in two-photon collisions journal, December 2013

The New (g−2)[sub μ] Experiment at Fermilab conference, January 2009

Measurement and analysis of the reactionγγ→π + π − π + π − journal, December 1988

Determination of radiative widths of scalar mesons from experimental results on $\gamma\gamma\to\pi\pi$ journal, June 1999

Amplitude analysis of the anomalous decay η ′ → π + π − γ journal, February 2018

Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules journal, October 2018

Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules text, January 2018

Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules text, January 2018

Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules text, January 2017

Measurement of the reaction γγ→π+π+π−π− at PETRA
journal, September 1984

Review of Particle Physics
journal, October 2016

Extraction of resonance parameter
conference, January 2012

High-statistics measurement of neutral-pion pair production in two-photon collisions
journal, September 2008

High-statistics study of neutral-pion pair production in two-photon collisions
journal, March 2009

High statistics study of the $f_{0} (980)$ resonance in $γ γ \to π^{+} π^{-}$ production
journal, March 2007

A partial wave analysis of the reaction
journal, January 1997

K s 0 K? production in tagged and untagged ?? interactions
journal, September 1989

Sum Rules for Light-by-Light Scattering
journal, November 2010

First observation of the reactionγγ→π 2→π 0 π 0 π 0
journal, December 1990

Two photon couplings of the lightest isoscalars from BELLE data
journal, September 2014

Summary of the search for four-quark states in γγ collisions
journal, June 1991

Light-by-light scattering sum rules constraining meson transition form factors
journal, June 2012

Study of $π^{0}$ pair production in single-tag two-photon collisions
journal, February 2016

A compilation of data on two-photon reactions
journal, November 2001

Amplitude analysis ofγγ→ππ from threshold to 1.4 GeV
journal, December 1990

Comprehensive amplitude analysis of $γ γ \to π^{+} π^{-}, π^{0} π^{0}$ and $\bar{K} K$ below 1.5 GeV
journal, August 2014

A compilation of data on two-photon reactions leading to hadron final states
journal, August 1994

A measurement of γγ→ϱ+ϱ−
journal, January 1989

High-statistics study of $η π^{0}$ production in two-photon collisions
journal, August 2009

Summary of the search for four-quark states in γγ collisions [Itogi poiskov chetyrekhkvarkovykh sostoyanii v γγ-stolknoveniyakh]
journal, January 1991

High Statistics Measurement of the Cross Sections of γγ→π ⁺ π ^- Production
journal, July 2007

High-statistics study of KFormula pair production in two-photon collisions
journal, December 2013

The New (g−2)[sub μ] Experiment at Fermilab
conference, January 2009

Measurement and analysis of the reactionγγ→π + π − π + π −
journal, December 1988

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journal, June 1999

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journal, February 2018

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