BSM reach of rare charm decays, including the rising star $\Lambda_c\to p\mu^+\mu^-$

Abstract

We perform the first global fit of rare charm transitions using recent data on $D^0\to \mu^+\mu^-$, $D^+\to\pi^+\mu^+\mu^-$, $\Lambda_c\to p\mu^+\mu^-$ and $D^0\to\pi^+\pi^-\mu^+\mu^-$ decays, including angular observables. We work out constraints on new physics in the framework of the weak effective field theory. While angular observables in $D^0\to\pi^+\pi^-\mu^+\mu^-$ decays provide sensitivities to different QCD models, future null tests in $\Lambda_c\to p \mu^+\mu^-$ look more promising to extract limits because of less hadronic uncertainties. This marks $\Lambda_c\to p \mu^+\mu^-$ as the rising star of rare charm decays.