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dc.contributor.author
Hoferichter, Martin
dc.contributor.author
Phillips, Daniel R.
dc.contributor.author
Schat, Carlos Luis
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dc.date.available
2018-08-27T14:35:46Z
dc.date.issued
2011-09
dc.identifier.citation
Hoferichter, Martin; Phillips, Daniel R.; Schat, Carlos Luis; Roy-Steiner equations for γγ→ππ; Springer; European Physical Journal C: Particles and Fields; 71; 9; 9-2011; 1-28
dc.identifier.issn
1434-6044
dc.identifier.uri
http://hdl.handle.net/11336/57160
dc.description.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.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Roy Equations
dc.subject
Dispersion Relations
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Chiral Perturbation Theory
dc.subject.classification
Astronomía
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Roy-Steiner equations for γγ→ππ
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-08-24T13:44:14Z
dc.journal.volume
71
dc.journal.number
9
dc.journal.pagination
1-28
dc.journal.pais
Alemania
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dc.journal.ciudad
Berlin
dc.description.fil
Fil: Hoferichter, Martin. Universitat Bonn; Alemania. Ohio University; Estados Unidos
dc.description.fil
Fil: Phillips, Daniel R.. Ohio University; Estados Unidos
dc.description.fil
Fil: Schat, Carlos Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
dc.journal.title
European Physical Journal C: Particles and Fields
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1140/epjc/s10052-011-1743-x
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1140/epjc/s10052-011-1743-x
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