Experimental test of the PCAC-hypothesis in charged current neutrino and antineutrino interactions on protons

Characterization of Final State Interaction Strength in Plastic Scintillator by Muon-Neutrino Charged Current Charged Pion Production

“…The pseudo-scalar form factor is related to F A by the partially conserved axial current hypothesis [73]; this relationship is confirmed by experiment [74].…”

Charm of small $x$ neutrino DIS

“…In [6] it has been found that the color dipole models successfully tested against the DIS data from HERA underestimate F ud L (x, 0) defined by the Eq. (1). Particularly, our model with m u = m d = 0.15 GeV reproduces only half of the empirical value f 2 π σ π /π, not quite bad for the model evaluation of the soft observable, although not satisfactory either.…”

“…The neutrino deep inelastic scattering (DIS) at small values of the Bjorken variable x Bj = Q 2 /2m N ν provides a useful tool for studies of fundamental properties of electro-weak (EW) interactions. In particular, the analysis of neutrino-nucleon cross sections at vanishing four-momentum transfer squared, Q 2 , can be used to test the hypothesis of partial conservation of the axial current (PCAC) in the kinematical region of high leptonic energy transfer, ν, [1,2] (for theoretical introduction see [3]). The partial conservation hypothesis [4] connects via Adler's theorem [5] the longitudinal structure function (LSF) at Q 2 → 0 induced by the light-quark axial-vector current (ud-current) with the on-shell pion-nucleon total cross section,…”

Charm of small-x neutrino deep-inelastic scattering

“…In particular, the analysis of neutrino-nucleon cross sections at vanishing four-momentum transfer squared, Q 2 , can be used to test the hypothesis of partial conservation of the axial current (PCAC) in the kinematical region of high leptonic energy transfer, ν, [1,2] (for theoretical introduction see [3]). The partial conservation hypothesis [4] connects via Adler's theorem [5] the longitudinal structure function (LSF)…”