Relativistic effects in two-particle emission for electron and neutrino reactions

C. Albertus; I. Ruiz Simo; J.A. Caballero; J.E. Amaro; M.B. Barbaro; T.W. Donnelly

Relativistic effects in two-particle emission for electron and neutrino reactions

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arxiv 1405.4280 v2 pith:226MKP3V submitted 2014-05-16 nucl-th hep-ph

Relativistic effects in two-particle emission for electron and neutrino reactions

I. Ruiz Simo , C. Albertus , J.E. Amaro , M.B. Barbaro , J.A. Caballero , T.W. Donnelly This is my paper

classification nucl-th hep-ph

keywords electroweakneutrinorelativisticcurrenteffectsfunctionsresponsetwo-particle

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Two-particle two-hole contributions to electroweak response functions are computed in a fully relativistic Fermi gas, assuming that the electroweak current matrix elements are independent of the kinematics. We analyze the genuine kinematical and relativistic effects before including a realistic meson-exchange current (MEC) operator. This allows one to study the mathematical properties of the non-trivial seven-dimensional integrals appearing in the calculation and to design an optimal numerical procedure to reduce the computation time. This is required for practical applications to CC neutrino scattering experiments, where an additional integral over the neutrino flux is performed. Finally we examine the viability of this model to compute the electroweak 2p-2h response functions.

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