Extends the RI/SMOM scheme to semi-leptonic operators via Ward-identity-protected vector currents and demonstrates equivalence to the Gorbahn et al. 2023 projectors for Wilson coefficient calculations.
RI'/SMOM scheme amplitudes for quark currents at two loops
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abstract
We determine the two loop corrections to the Green's function of a quark current inserted in a quark 2-point function at the symmetric subtraction point. The amplitudes for the scalar, vector and tensor currents are presented in both the MSbar and RI'/SMOM renormalization schemes. The RI'/SMOM scheme two loop renormalization for the scalar and tensor cases agree with previous work. The vector current renormalization requires special treatment as it must be consistent with the Slavnov-Taylor identity which we demonstrate. We also discuss the possibility of an alternative definition of the RI'/SMOM scheme in the case of the tensor current.
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A note on momentum subtraction schemes for quark bilinears and semileptonic operators
Extends the RI/SMOM scheme to semi-leptonic operators via Ward-identity-protected vector currents and demonstrates equivalence to the Gorbahn et al. 2023 projectors for Wilson coefficient calculations.