Naive cutoff regularization of chiral EFT currents conflicts with dimensionally regularized operators, generating an unrenormalizable divergence that violates chiral symmetry.
Cutoff regulators in chiral nuclear effective field theory
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abstract
Three-dimensional cutoff regulators are frequently employed in multi-nucleon calculations, but they violate chiral symmetry and Lorentz invariance. A cutoff regularization scheme is proposed to compensate systematically at subleading orders for these symmetry violations caused by regulator artifacts. This is especially helpful when a soft momentum cutoff has to be used for technical reasons. It is also shown that dimensional regularization can still be used for some Feynman (sub)diagrams while cutoff regulators are used for the rest.
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Electroweak Current Operators in Chiral Effective Field Theory
Naive cutoff regularization of chiral EFT currents conflicts with dimensionally regularized operators, generating an unrenormalizable divergence that violates chiral symmetry.