Abstract
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 $\ensuremath{\sigma}({E}_{\ensuremath{\nu}})$ 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.
Highlights
The measurement of neutrino/antineutrino-nucleus cross sections is a fundamental topic of research, in itself because it can provide knowledge on the fundamental interaction and on the nuclear properties and modeling, and for its importance in other special fields in particle physics, such as the mixing of neutrino flavors, the extraction of the CP-violating phase in the lepton sector and the origin of the asymmetry between matter and antimatter in the Universe
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
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, because its peak is almost flat with theneutrino energy
Summary
The measurement of neutrino/antineutrino-nucleus cross sections is a fundamental topic of research, in itself because it can provide knowledge on the fundamental interaction and on the nuclear properties and modeling, and for its importance in other special fields in particle physics, such as the mixing of neutrino flavors, the extraction of the CP-violating phase in the lepton sector and the origin of the asymmetry between matter and antimatter in the Universe. CCQE cross section, where κ and λ are the dimensionless momentum and energy transfer variables in the scaling formalism This new double differential cross section has the very good property, for the generation of the final charged lepton kinematics in the MC event generators, of an almost flat peak, i.e., very weak dependent on the neutrino/antineutrino energy. This important feature makes it specially well suited for the generation of these events by the acceptance-rejection method. VI we draw our conclusions and outline our future plans or prospects related to the conclusions of the present work
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