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

Dai, Ling -Yun; Pennington, Michael R.

doi:10.1103/PhysRevD.95.056007

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

Journal Article · Mon Mar 06 00:00:00 EST 2017 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.95.056007· OSTI ID:1345801

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)

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.

View Accepted Manuscript (DOE)

Research Organization:: Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 1345801

Alternate ID(s):: OSTI ID: 1345858

Report Number(s):: DOE/OR/23177--4049; JLAB-THY--17-2396; arXiv:1701.04460

Journal Information:: Physical Review D, Journal Name: Physical Review D Journal Issue: 5 Vol. 95; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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