Forward Compton Scattering with weak neutral current: constraints from sum rules

preprint2015arXivOpen access

Abstract

We generalize forward real Compton amplitude to the case of the interference of the electromagnetic and weak neutral current, formulate a low-energy theorem, relate the new amplitudes to the interference structure functions and obtain a new set of sum rules. We address a possible new sum rule that relates the product of the axial charge and magnetic moment of the nucleon to the 0th moment of the structure function g5(ν,0)g_5(ν,0). We apply the GDH and the finite energy sum rule for constraining the dispersive γZγZ-box correction to the proton's weak charge.

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