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Abstract:

Starting from hyperbolic dispersion relations, we derive a system of Roy-Steiner equations for pion Compton scattering that respects analyticity, unitarity, gauge invariance, and crossing symmetry. It thus maintains all symmetries of the underlying quantum field theory. To suppress the dependence of observables on high-energy input, we also consider once- and twice-subtracted versions of the equations, and identify the subtraction constants with dipole and quadrupole pion polarizabilities. Based on the assumption of Mandelstam analyticity, we determine the kinematic range in which the equations are valid. As an application, we consider the resolution of the γγ→ππ partial waves by a Muskhelishvili-Omnès representation with finite matching point. We find a sum rule for the isospin-two S-wave, which, together with chiral constraints, produces an improved prediction for the charged-pion quadrupole polarizability (α2-β2)π± = (15.3±3.7)× 10-4 fm5. We investigate the prediction of our dispersion relations for the two-photon coupling of the σ-resonance Γσγγ. The twice-subtracted version predicts a correlation between this width and the isospin-zero pion polarizabilities, which is largely independent of the high-energy input used in the equations. Using this correlation, the chiral perturbation theory results for pion polarizabilities, and our new sum rule, we find Γσγγ=(1.7±0.4) keV. © 2011 Springer-Verlag / Società Italiana di Fisica.

Registro:

Documento: Artículo
Título:Roy-Steiner equations for γγ→ππ
Autor:Hoferichter, M.; Phillips, D.R.; Schat, C.
Filiación:Helmholtz-Institut für Strahlen- und Kernphysik (Theorie), Bethe Center for Theoretical Physics, Universität Bonn, Nussallee 14-16, 53115 Bonn, Germany
Institute of Nuclear and Particle Physics, Department of Physics and Astronomy, Ohio University, Athens, OH 45701, United States
Instituto de Física de Buenos Aires, CONICET - Departamento de Física, FCEyN, Universidad de Buenos Aires, Ciudad Universitaria, Pab. 1, (1428) Buenos Aires, Argentina
Año:2011
Volumen:71
Número:9
Página de inicio:1
Página de fin:28
DOI: http://dx.doi.org/10.1140/epjc/s10052-011-1743-x
Título revista:European Physical Journal C
Título revista abreviado:Eur. Phys. J. C
ISSN:14346044
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14346044_v71_n9_p1_Hoferichter

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Citas:

---------- APA ----------
Hoferichter, M., Phillips, D.R. & Schat, C. (2011) . Roy-Steiner equations for γγ→ππ. European Physical Journal C, 71(9), 1-28.
http://dx.doi.org/10.1140/epjc/s10052-011-1743-x
---------- CHICAGO ----------
Hoferichter, M., Phillips, D.R., Schat, C. "Roy-Steiner equations for γγ→ππ" . European Physical Journal C 71, no. 9 (2011) : 1-28.
http://dx.doi.org/10.1140/epjc/s10052-011-1743-x
---------- MLA ----------
Hoferichter, M., Phillips, D.R., Schat, C. "Roy-Steiner equations for γγ→ππ" . European Physical Journal C, vol. 71, no. 9, 2011, pp. 1-28.
http://dx.doi.org/10.1140/epjc/s10052-011-1743-x
---------- VANCOUVER ----------
Hoferichter, M., Phillips, D.R., Schat, C. Roy-Steiner equations for γγ→ππ. Eur. Phys. J. C. 2011;71(9):1-28.
http://dx.doi.org/10.1140/epjc/s10052-011-1743-x