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. Then, on the basis of naturalness arguments, for some operators we obtain bounds that surpass direct constraints by orders of magnitude. We also 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.

Anomalous dimensions from gauge couplings in SMEFT with right-handed neutrinos

“…We focus on the ψ 4 -ψ 4 and ψ 4ψ 2 φ 2 D operator mixing since the mixing between ψ 2 φ 3 , ψ 2 φ 2 D and ψ 2 Xφ has been computed in the ref. [15] using the background field method. We have checked that the resulting 5 × 5 matrix is consistent with the result for the corresponding SMEFT operators [7] which have a similar ADM structure.…”

“…The ADM for bosonic SMNEFT operators is given in ref. [15]. The ADM of most SMNEFT operators can be obtained from the ADM of the SMEFT operators [7] with a similar structure.…”

“…The mixing between the bosonic operators has been calculated in refs. [14,15], and the one-loop RGE of a subset of four-fermion operators are given in ref. [16].…”

Anomalous dimensions from Yukawa couplings in SMNEFT: four-fermion operators

“…The mixing between the bosonic operators was discussed in ref. [14], and the one-loop RGE of a subset of four-fermion operators was provided in ref. [15].…”

Shedding new light on sterile neutrinos from XENON1T experiment

“…However, the precise value of the neutrino magnetic moment is unknown and it is predicted to be very small in the SM, proportional to the neutrino masses for Dirac neutrinos [17,19]. The nonstandard interactions of the SM neutrinos induce large neutrino magnetic moments which can account for the XENON1T excess events [20][21][22][23][24][25]. In order to avoid large corrections to neutrino masses induced by large neutrino magnetic moments, some new symmetries can be introduced [21,26].…”