Analysis of the kinematic boundaries of the quasielastic neutrino-nucleus cross section in the superscaling model with a relativistic effective mass

In this work we obtain the analytical expressions for the boundaries of the charged current quasielastic (CCQE) double differential cross section in terms of dimensionless energy and momentum transfers, for the Relativistic Fermi Gas (RFG) and the Superscaling approach with relativistic effective mass (SuSAM*) models, within the scaling formalism. In addition, we show that this double differential cross section in the scaling formalism has very good properties to be implemented in the Monte Carlo (MC) neutrino event generators, particularly because its peak is almost flat with the (anti)neutrino energy. This makes it especially well suited for the event generation by the acceptance-rejection method usually used in the neutrino generators. Finally, we analyze the total CCQE cross section sigma(E-v) for both models and attribute the enhancement observed in the SuSAM* total cross section to the high-momentum components which are present, in a phenomenological way, in its scaling function, while these are absent in the RFG model.

Automated summary

In this study, we derived analytical expressions for the boundaries of the charged current quasielastic double differential cross section in terms of dimensionless energy and momentum transfers, within the scaling formalism. We also demonstrated the suitability of this cross section for implementation in Monte Carlo neutrino event generators, particularly due to its flat peak with respect to neutrino energy. Furthermore, we compared the total cross sections of two models and attributed the enhancement observed in the SuSAM* model to its high-momentum components present in the scaling function.