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Hadronic light-by-light scattering and the pion polarizability

Engel, Kevin T. and Patel, Hiren H. and Ramsey-Musolf, Michael J. (2012) Hadronic light-by-light scattering and the pion polarizability. Physical Review D, 86 (3). Art. No. 037502. ISSN 1550-7998. doi:10.1103/PhysRevD.86.037502.

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We compute the charged pion loop contribution to the light-by-light scattering amplitude for off-shell photons in chiral perturbation theory through next-to-leading order (NLO). We show that for small photon virtualities (k^2≪m^(2)_(π)) the NLO contributions are relatively more important due to an accidental numerical suppression of the LO terms. This behavior is consistent with previous calculations of the hadronic light-by-light contribution to the muon anomalous magnetic moment, a^(HLBL)_(μ), whose leading order value receives O(1) corrections from models incorporating some of the NLO physics. We also show that models employed thus far for the charged pion loop contribution to a^(HLBL)_(μ) are not fully consistent with low-momentum behavior implied by quantum chromodynamics, having omitted potentially significant contributions from the pion polarizability.

Item Type:Article
Related URLs:
URLURL TypeDescription
Patel, Hiren H.0000-0002-2582-6189
Ramsey-Musolf, Michael J.0000-0001-8110-2479
Additional Information:© 2012 American Physical Society. Received 17 January 2012; published 27 August 2012. We thank J. Bijnens, E. de Rafael, and A. Vainshtein for useful conversations and Mark B. Wise for discussions in the formulation of this project. The work is partially supported by U.S. Department of Energy contracts No. DE-FG02-92-ER40701 (K. T. E) and No. DE-FG02-08ER41531 (H. H. P. and M. J. R. M.) and the Wisconsin Alumni Research Foundation (H. H. P. and M. J. R. M.).
Group:Caltech Theory
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-92-ER40701
Department of Energy (DOE)DE-FG02-08ER41531
Wisconsin Alumni Research FoundationUNSPECIFIED
Issue or Number:3
Classification Code:PACS: 12.39.Fe, 12.40.Vv, 13.75.-n, 14.60.Ef
Record Number:CaltechAUTHORS:20121008-143319217
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:34761
Deposited On:10 Oct 2012 17:46
Last Modified:09 Nov 2021 23:10

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