$K\to \mu^{+} \mu^{-}$ as a third kaon golden mode

TL;DR

The paper discusses how the rare decay $K o \mu^+\mu^-$ can be used as a precise probe of short-distance physics, CKM parameters, and new physics scenarios through time-dependent interference effects.

Contribution

It reviews the methodology for extracting short-distance information from $K o \mu^+\mu^-$ decay and explores its sensitivity to CKM parameters and new physics.

Findings

Decay provides clean short-distance information

Time-dependent interference enhances sensitivity

Potential to probe CKM and NP scenarios

Abstract

Recent progress has demonstrated that the $K\to\mu^+\mu^-$ decay carries clean short-distance information, attainable from a measurement of time-dependence sensitive to $K_L-K_S$ interference effects. We review the ingredients that go into this proposed extraction, and discuss the sensitivity to the CKM parameter $\bar\eta$ as well as to various NP scenarios.