The four-Fermi interaction in the formLint=−GF√2[¯ψ(e)γμ(cV−cAγ5)ψ(e))][¯ψ(ν)γμ(1−γ5)ψ(ν))].
is used to calculate the elastic neutrino-electron scattering. The combination occurring in the neutrino bilinear involves left-chiral projections while the co-efficients in the electron bilinear involving vector and axial vector currents have coefficients cV and cA respectively.
Why are cV are cA left unspecified? Why does such an asymmetry exist between neutrinos and charged leptons?
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