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Wilson Coefficients and Natural Zeros from the On-Shell Viewpoint
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abstract
We show how to simplify the calculation of the finite contributions from heavy particles to EFT Wilson coefficients by using on-shell methods. We apply the technique to the one-loop calculation of $g-2$ and $H\gamma\gamma$, showing how finite contributions can be obtained from the product of tree-level amplitudes. In certain cases, due to a parity symmetry of these amplitudes, the total contribution adds up to zero, as previously found in the literature. Our method allows to search for new natural zeros, as well as to obtain non-zero contributions in a straightforward way.
Forward citations
Cited by 2 Pith papers
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Decoupling Neutrino Magnetic Moment from Mass with $SU(2)_L$ Invariance
A loop-level neutrino magnetic moment is generated via an SU(2)_L adjoint fermion 'bridge', making the mass diagram vanish by tracelessness of the generators, though RG mixing limits the observable size.
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An Efficient On-shell Framework for EFT Matching
A d-dimensional unitarity-sewing workflow for one-loop EFT matching that assigns rational terms to their parent scalar integrals and extracts Wilson coefficients in non-redundant on-shell bases.
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