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Flavor Constraints from Unitarity and Analyticity

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arxiv 2004.02885 v3 pith:VVEVYAYO submitted 2020-04-06 hep-ph hep-th

Grant N. Remmen , Nicholas L. Rodd This is my paper · ORCID
classification hep-phhep-th
keywords operatorsanalyticityconstraintsflavormodelstandardunitarityalready
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We use unitarity and analyticity of scattering amplitudes to constrain fermionic operators in the standard model effective field theory. For four-fermion operators at mass dimension 8, we scatter flavor superpositions in fixed standard model representations and find the Wilson coefficients to be constrained so that their contraction with any pair of pure density matrices is positive. These constraints imply that flavor-violating couplings are upper-bounded by their flavor-conserving cousins. For instance, LEP data already appears to preclude certain operators in upcoming $\mu \to 3e$ measurements.

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Forward citations

Cited by 5 Pith papers

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  5. Positivity and partial wave unitarity bounds on ALP theories via amplitude methods

    hep-ph 2025-10 conditional novelty 6.0 of 10

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