Abstract
We discuss the nuclear interactions of neutrinos versus those of antineutrinos, a relevant comparison for $\mathit{CP}$ violation experiments in the neutrino sector. We consider the MiniBooNE quasielastic-like double-differential neutrino and antineutrino cross sections that are dependent on the energy profiles of the neutrino fluxes and hence specific to the MiniBooNE setup. We combine them introducing their sum $(\ensuremath{\nu}+\overline{\ensuremath{\nu}})$ and their difference $(\ensuremath{\nu}\ensuremath{-}\overline{\ensuremath{\nu}})$. We show that the last combination gives general information on the multinucleon content of the axial-vector interference term. Our theoretical model reproduces well the two cross-section combinations, confirming the need for a sizable multinucleon component.
Highlights
One of the challenging goals of neutrino experiments is the detection of CP violation in the neutrino sector
To illustrate the respective roles of the multinucleon components in the ν and νcross sections, as we have introduced in a previous work [4], we start by giving below the following simplified expression for the double-differential neutrino or antineutrino cross sections on a nuclear target such as 12C: d2σ d cos θ dω cos2 π θc kl
In summary we have investigated two combinations of the neutrino and antineutrino MiniBooNE flux-folded doubledifferential cross sections on 12C, their sum and their difference, which probe different pieces of the neutrino or antineutrino interactions with the nucleus
Summary
M. Ericson Universitede Lyon, Universite Lyon 1, CNRS/IN2P3, IPN Lyon, F-69622 Villeurbanne Cedex, France and Physics Department, Theory Unit, CERN, CH-1211 Geneva, Switzerland. M. Martini Department of Physics and Astronomy, Ghent University, Proeftuinstraat 86, B-9000 Gent, Belgium (Received 20 December 2014; revised manuscript received 13 February 2015; published 2 March 2015). We discuss the nuclear interactions of neutrinos versus those of antineutrinos, a relevant comparison for CP violation experiments in the neutrino sector. We consider the MiniBooNE quasielastic-like double-differential neutrino and antineutrino cross sections that are dependent on the energy profiles of the neutrino fluxes and specific to the MiniBooNE setup. We show that the last combination gives general information on the multinucleon content of the axial-vector interference term. Our theoretical model reproduces well the two cross-section combinations, confirming the need for a sizable multinucleon component
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