The two-photon exchange contribution to muonic hydrogen from chiral perturbation theory

We compute the spin-dependent and spin-independent structure functions of the forward virtual-photon Compton tensor of the proton at using heavy baryon effective theory including the Delta particle. We compare with previous results when existing. Using these results we obtain the leading hadronic co...

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Bibliographic Details
Authors: Peset Martín, Clara María, Pineda, Antonio
Format: article
Publication Date:2014
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/100995
Online Access:https://hdl.handle.net/20.500.14352/100995
Access Level:Open access
Keyword:53
Proton polarizability contribution
Virtual Compton-scattering
Baryon axial currents
Lamb shift
Hyperfine structure
Form-factors
Low energies
Nucleon
Particles
Radius
Física (Física)
22 Física
Description
Summary:We compute the spin-dependent and spin-independent structure functions of the forward virtual-photon Compton tensor of the proton at using heavy baryon effective theory including the Delta particle. We compare with previous results when existing. Using these results we obtain the leading hadronic contributions, associated to the pion and Delta particles, to the Wilson coefficients of the lepton–proton four fermion operators in NRQED. The spin-independent coefficient yields a pure prediction for the two-photon exchange contribution to the muonic hydrogen Lamb shift, . We also compute the charge, , and Zemach, , moments for . Finally, we discuss the spin-dependent case, for which we compute the difference between the four-fermion Wilson coefficients relevant for hydrogen and muonic hydrogen.