Chiral-Symmetry-Breaking Effects on Neutrino Scattering

Abstract

The ideas of approximate scale invariance and operator light-cone expansions are used to relate inelastic neutrino scattering form factors to the one-nucleon matrix elements of double commutators of chiral (weak) charges with the Hamiltonian, $〈N\left|\right[Q,[Q^{†},\mathcal{H}]\left]\right|N〉$. Two kinds of sum rules are given, one expressing the finiteness of the commutator, the other its connection to neutrino scattering. It is pointed out that these sum rules can, in principle, be directly evaluated from measurable form factors.