Collider Prospects for Muon $g-2$ in General Two Higgs Doublet Model

Abstract

Recent progress on muon $g-2$ measurement prompts one to take it even more seriously. In the general two Higgs doublet model that allows extra Yukawa couplings, we take a simplified approach of single enhanced coupling. We fix the charged lepton flavor violating coupling, $ρ_{τμ} = ρ_{μτ}$, via the one-loop mechanism, for illustrative masses of the heavy scalar $H$ and pseudoscalar $A$, where we assume $m_A = m_{H^+}$. Since extra top Yukawa couplings are plausibly the largest, we turn on $ρ_{tt}$ and find that LHC search for $gg \to H,\,A \to τμ$ gives more stringent bound than from $τ\to μγ$ with two-loop mechanism. Turning on a second extra top Yukawa coupling, $ρ_{tc}$, can loosen the bound on $ρ_{tt}$, but LHC constraints can again be more stringent than from $B \to Dμν$ vs $Deν$ universality. This means that evidence for $H,\,A \to τμ$ may yet emerge with full LHC Run 2 data, while direct search for $τ^\pmμ^\mp bW^+$ or $t\bar cbW^+$ (plus conjugate) may also bear fruit.