Lepton flavor violating Higgs boson decays in seesaw models: New discussions

Abstract

The lepton flavor violating decay of the Standard Model-like Higgs boson (LFVHD), h → µτ , is discussed in seesaw models at the one-loop level. Based on particular analytic expressions of Passarino-Veltman functions, the two unitary and 't Hooft Feynman gauges are used to compute the branching ratio of LFVHD and compare with results reported recently. In the minimal seesaw (MSS) model, the branching ratio was investigated in the whole valid range 10 −9 −10 15 GeV of new neutrino mass scale m n 6 . Using the Casas-Ibarra parameterization, this branching ratio enhances with large and increasing m n 6 . But the maximal value can reach only order of 10 −11 . Interesting relations of LFVHD predicted by the MSS and inverse seesaw (ISS) model are discussed. The ratio between two LFVHD branching ratios predicted by the ISS and MSS is simply m 2 n 6 µ −2 X , where µ X is the small neutrino mass scale in the ISS. The consistence between different calculations is shown precisely from analytical approach.

Search for lepton flavour violating decays of the Higgs boson to μτ and eτ in proton-proton collisions at $$ \sqrt{s}=13 $$ TeV

“…These decays are forbidden in the SM but occur in many new physics scenarios. These include supersymmetric [5][6][7][8][9][10][11][12][13], composite Higgs [14,15], or Randall-Sundrum models [16][17][18], SM extensions with more than one Higgs boson doublet [19,20] or with flavour symmetries [21], and many other scenarios [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36]. The presence of LFV Higgs boson couplings would allow τ → µ and τ → e to proceed via a virtual Higgs boson [37,38].…”

Decay of standard-model-like Higgs boson h→μτ in a 3-3-1 model with inverse seesaw neutrino masses

“…They can be calculated using the unitary gauge with the same techniques given in Refs. [6,22]. We have crosschecked this with FORM [27].…”

“…(A2) are the same as those shown in Refs. [6,22], and hence we do not present them in this work. We note that the scalar functions Δ ð1ÞW L;R and Δ ð1;2;3ÞY L;R include parts that do not depend on m n i , and therefore they vanish because of the Glashow-Iliopoulos-Maiani mechanism.…”

Flavor Techniques for LFV Processes: Higgs Decays in a General Seesaw Model

“…Furthermore, the LHCb collaboration has also performed similar searches [6]. From the theoretical side, these observables have also been studied very actively, exploring their potential to probe BSM theories such as neutrino mass models [7][8][9][10][11][12][13][14][15], minimal flavor violation [16][17][18][19], supersymmetric models [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38], two Higgs doublet models [39][40][41][42][43], composite Higgs models [44], models with extra dimensions [45][46][47][48], effective Lagrangians [49][50][51][52][53] and ...…”