Effects of squared four-fermion operators of the Standard Model Effective Field Theory on meson mixing
arxiv(2022)
摘要
The Standard Model Effective Field Theory (SMEFT) is a universal way of
parametrizing New Physics (NP) manifesting as new, heavy particle interactions
with the Standard Model (SM) degrees of freedom, that respect the SM gauged
symmetries. Higher order terms in the NP interactions possibly lead to sizable
effects, mandatory for meaningful phenomenological studies, such as
contributions to neutral meson mixing, which typically pushes the scale of NP
to energy scales much beyond the reach of direct searches in colliders. I
discuss the leading-order renormalization of double-insertions of dimension-6
four-fermion operators that change quark flavor by one unit (i.e., | Δ F
| = 1, F = strange-, charm-, or bottom-flavor), by dimension-8 operators
relevant to meson mixing (i.e., | Δ F | = 2) in SMEFT. Then, I
consider the phenomenological implications of contributions proportional to
large Yukawas, setting bounds on the Wilson coefficients of operators of
dimension-6 via the leading logarithmic contributions. Given the underlying
interest of SMEFT to encode full-fledged models at low energies, this work
stresses the need to consider dimension-8 operators in phenomenological
applications of dimension-6 operators of SMEFT.
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