Towards ruling out the charged Higgs interpretation of the $R_{D^{(\ast )}}$ anomaly

Abstract

Motivated by the notorious anomaly in the lepton flavor universality ratios $R_{D^{(\ast )}}$, we study the sensitivity of the Large Hadron Collider (LHC) to a low-mass charged Higgs boson $H^{-}$ lighter than $400$GeV in a generic two Higgs doublet model. A combination of current constraints from the $B_c\to \tau \nu$ decay, $B_s$ meson mixing data, tau sleptons and di-jet searches at the LHC allows to explain the $R_{D^{(\ast )}}$ anomaly at the $1\sigma$ level by a low-mass charged Higgs. In this context, we estimate the reach of an LHC search for resonant $H^{-}$ production, where the final state contains an energetic $\tau$ lepton decaying hadronically, a neutrino with large transverse momentum, and an additional $b$-jet ($pp\to b+{\tau }_h+\nu$). Requiring the additional $b$-tagged jet in the $\tau \nu$ resonance search profits from the suppression of the Standard Model background, and therefore it allows us to judge the low-mass $H^{-}$ interpretation of the $R_{D^{(\ast )}}$ anomaly. To demonstrate this, we perform a fast collider simulation for the $\tau \nu$ resonance search with an additional $b$-tagged jet, and find that most of the interesting parameter region of the whole mass range can already be probed with the current integrated luminosity of $139$fb${}^{-1}$.

18 pages, 5 figures, 3 tables. JHEP published version

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