New Physics hints from $\tau$ scalar interactions and $(g-2)_{e,\mu}$

TL;DR

This paper proposes a two Higgs doublet model that explains muon and electron g-2 anomalies, accounts for ATLAS excesses in tau pair production, and explores implications for other collider signals and measurements.

Contribution

It introduces a flavor-conserving two Higgs doublet model with non-proportional Yukawa couplings that simultaneously explains g-2 anomalies and collider excesses, with detailed numerical analysis.

Findings

Model reproduces ATLAS tau pair excess with specific scalar hierarchies.

Muon g-2 anomaly explained by one- and two-loop contributions.

Electron g-2 anomaly explained predominantly at two loops.

Abstract

We consider a flavour conserving two Higgs doublet model that consists of a type I (or X) quark sector and a generalized lepton sector where the Yukawa couplings of the charged leptons to the new scalars are not proportional to the lepton masses. The model, previously proposed to solve both muon and electron $g-2$ anomalies simultaneously, is also capable to accommodate the ATLAS excess in $pp \rightarrow S \rightarrow \tau^{+}\tau^{-}$ with gluon-gluon fusion production in the invariant mass range [0.2; 0.6] TeV, including all relevant low and high energy constraints. The excess is reproduced taking into account the new contributions from the scalar H, the pseudoscalar A, or both. In particular, detailed numerical analyses favoured the solution with a significant hierarchy among the vevs of the two Higgs doublets, $t_{\beta} \sim 10$, and light neutral scalars satisfying $m_\mathrm{A} > m_\mathrm{H}$ with sizable couplings to $\tau$ leptons. In this region of the parameter space, the muon $g-2$ anomaly receives one and two loop (Barr-Zee) contributions of similar size, while the electron anomaly is explained at two loops. An analogous ATLAS excess in $b$-associated production and the CMS excess in ditop production are also studied. Further New Physics prospects concerning the anomalous magnetic moment of the $\tau$ lepton and the implications of the CDF $M_W$ measurement on the final results are discussed.