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Flavour Violating Effects of Yukawa Running in SMEFT
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abstract
We study Yukawa Renormalization Group (RG) running effects in the context of the Standard Model Effective Theory (SMEFT).The Yukawa running being flavour dependent leads to RG-induced off-diagonal entries, so that initially diagonal Yukawa matrices at the high scale have to be rediagonalized at the electroweak (EW) scale. Performing such flavour rotations can lead to flavour violating operators which differ from the ones obtained through SMEFT RG evolution. We show, that these flavour rotations can have a large impact on low-energy phenomenology. In order to demonstrate this effect, we compare the two sources of flavour violation numerically as well as analytically and study their influence on several examples of down-type flavour transitions. For this purpose we consider $B_s-\bar B_s$ mixing, $b\to s\gamma$, $b\to s \ell \ell$ as well as electroweak precision observables. We show that the rotation effect can be comparable or even larger than the contribution from pure RGE evolution of the Wilson coefficients.
Forward citations
Cited by 2 Pith papers
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Neutrinoless Double-Beta Decays from Operator Mixing
Renormalization-group mixing lets heavy-quark dimension-seven operators feed neutrinoless double-beta decay, giving some of the strongest current bounds on these new-physics operators.
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On the Interplay of Constraints from $B_s$, $D$, and $K$ Meson Mixing in $Z^\prime$ Models with Implications for $b\to s \nu\bar\nu$ Transitions
In Z' models with suppressed B_s mixing, SU(2)L and SMEFT RG correlations tie the B_s, D, and K sectors together and predict B to K(K*) nu nu enhancements of up to 20% when b to s mu mu rates are suppressed.
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