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

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:
 [1] ;  [2]
  1. Forschungszentrum Julich, Julich (Germany); Indiana Univ., Bloomington, IN (United States)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); College of William and Mary, Williamsburg, VA (United States)
Publication Date:
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
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)
Research Org:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1345801
Alternate Identifier(s):
OSTI ID: 1345858