Probing dimension-8 SMEFT operators through neutral meson mixing

TL;DR

This paper explores how dimension-8 operators in SMEFT influence neutral meson mixing, providing constraints on their scales and presenting a UV model where these operators dominate, thus offering new insights into potential new physics.

Contribution

It analyzes the impact of dimension-8 SMEFT operators on meson mixing and establishes constraints on their scales, highlighting scenarios where dim-8 operators are leading in UV models.

Findings

Neutral meson mixing probes operators up to 80 TeV scale.

Dimension-8 operators can dominate in certain UV models.

Constraints surpass those from other observables for some operators.

Abstract

We investigate the impact of effective interactions of dimension-8 (dim-8) operators in the standard model effective field theory (SMEFT) on neutral meson mixing, focusing on the $K^0-\bar K^0$, $B_{d,s}-\bar B_{d,s}$, and $D^0-\bar D^0$ systems. Within the framework of the low energy effective field theory (LEFT), each system is governed by eight dim-6 operators, with four originating at tree level from dim-6 SMEFT operators and the other four from dim-8 SMEFT operators. Notably, in certain UV complete models those dim-8 operators instead of the dim-6 ones are generated at the leading order. Our analysis focuses on those dim-8 operators and includes their one-loop QCD renormalization group running effects. By leveraging the LEFT master formula we impose stringent constraints on the effective scales associated with these dim-8 operators. We find that neutral meson mixing can probe an effective scale up to 80 TeV for some operators, surpassing the constraints imposed on other dim-8 operators by other observables. Lastly, we present a UV complete model capable of generating dim-8 operators at the leading order, thus offering a unique perspective on the interplay between different operator dimensions in probing new physics phenomena.