Self-consistent bounds on Beyond the Standard Model bosons from spectroscopy of muonic atoms with magic nuclei

Abstract

Spectroscopy of muonic atoms is, to date, the most accurate technique to extract parameters of the nuclear charge density. The same reasons for their heightened sensitivity to nuclear parameters, a large overlap of the muonic wavefunction with the nucleus, makes them attractive systems to test Beyond the Standard Model (BSM) Physics. This raises concerns of self-consistency as the same data are used to, first, extract nuclear parameters, and second, check the consistency with BSM models. We combine the two steps and self-consistently extract the nuclear and BSM parameters. We show that the data are consistent with vanishing BSM coupling and extract robust exclusion bounds. We further note that the nuclear parameters change under the influence of those BSM couplings on the parameter fits and compare with the fit solely based on quantum electrodynamics (QED).