One-loop running of dimension-six Higgs-neutrino operators and implications of a large neutrino dipole moment

Abstract

We compute the one-loop running of the dimension-six CP-even Higgs operators in the Standard Model effective field theory involving the right-handed component of the would-be Dirac neutrinos. We discuss the implications of a large Dirac neutrino magnetic dipole moment. In particular, we demonstrate that a neutrino magnetic moment explaining the recent XENON1T excess induces Higgs and $Z$ invisible decays with branching ratios in the range $[10^{-18},10^{-12}]$. These numbers are unfortunately beyond the reach of current and near future facilities.

Comments: 27 pages, 7 figures, 2 tables, 1 matrix; Feynman diagrams made nicer; typos corrected; matches version published in JHEP