Abstract

We calculate contributions to the anomalous magnetic moment of the muon from heavy neutral and charged Higgs bosons and new leptons in two Higgs doublet models extended by vectorlike leptons. We present detailed predictions of two models with type-II couplings to standard model fermions, motivated by a $Z_2$ symmetry and supersymmetry. In addition, we compare the results with the standard model extended by vectorlike leptons. We find that the model motivated by a $Z_{2}$ symmetry can generate much larger contributions to the magnetic moment compared to the standard model, even by two orders of magnitude due to $\tan^{2}\beta$ enhancement, while satisfying current constraints. As a consequence, the standard model explanation of the anomaly requires much larger corrections to muon couplings making this model easier to probe at future precision machines. Additionally, we find that the model with couplings motivated by supersymmetry typically leads to much smaller contributions to the anomaly as a result of cancellations. However, we identify interesting scenarios where contributions from the charged Higgs boson can fully explain the anomaly.

Highlights

  • The Standard Model (SM) provides a spectacular description of nature, surviving stringent tests at both the current energy and precision frontiers

  • We study in detail a type-II 2HDM motivated by a Z2 symmetry (2HDM-II-Z2), highlights of which were presented previously in [29]

  • II, we describe the 2HDM-II-Z2, 2HDM-II-S, and SM extended with vectorlike leptons which mix with the muon at tree level

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Summary

INTRODUCTION

The Standard Model (SM) provides a spectacular description of nature, surviving stringent tests at both the current energy and precision frontiers. The same couplings which generate a large correction to ðg − 2Þμ lead to corrections of W, Z, and h couplings to the muon resulting from mixing that are tan β suppressed This would allow for a contribution to Δaμ even two orders of magnitude larger than the measured value while simultaneously satisfying lowenergy observables, or an explanation of the measured value, Δaeμxp, with tiny corrections to SM couplings, or even an explanation of Δaeμxp from new leptons with masses of tens of TeV. When the models are extended with VL each symmetry dictates a different structure of Yukawa couplings leading to drastically different results In this version of the model we find that the contributions to Δaμ from vectorlike leptons and heavy Higgses with comparable masses tend to cancel with those of W, Z, and h. MUON g − 2 IN TWO-HIGGS-DOUBLET MODELS WITH

MODELS
SM with vectorlike leptons
PARAMETER SPACE AND EXPERIMENTAL CONSTRAINTS
RESULTS
CONCLUSIONS
Couplings to Z and W bosons
Couplings to Higgs bosons
Goldstone boson equivalence theorem
Approximate couplings

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