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Article
Report number	arXiv:2111.10464 ; CERN-TH-2021-194 ; TTK-21-47
Title	Likelihood analysis of the flavour anomalies and $g-2$ in the general two Higgs doublet model
Author(s)	Athron, Peter (Nanjing Normal U. ; Monash U.) ; Balazs, Csaba (Monash U.) ; Gonzalo, Tomás E. (RWTH Aachen U.) ; Jacob, Douglas (Monash U.) ; Mahmoudi, Farvah (IP2I, Lyon ; CERN) ; Sierra, Cristian (Monash U.)
Publication	2022-01-10
Imprint	2021-11-19
Number of pages	49
Note	49 pages, 18 figures, new references, fixed typos
In:	JHEP 01 (2022) 037
DOI	10.1007/JHEP01(2022)037 (publication)
Subject category	hep-ph ; Particle Physics - Phenomenology
Abstract	We present a likelihood analysis of the general two Higgs doublet model, using the most important currently measured flavour observables, in view of the anomalies in charged current tree-level and neutral current one-loop rare decays of $B$ mesons in $b\to c l \overline{\nu}$ and $b\to s\mu^{+}\mu^{-}$ transitions, respectively. We corroborate that the model explains the latter and it is able to simultaneously fit the experimental values of the $R(D)$ ratio at $1\sigma$, but it can not accommodate the $R(D^{*})$ and $F_{L}(D^{*})$ observables. We find that the fitted values for the angular observables in $b\to s\mu^{+}\mu^{-}$ transitions exhibit better agreement with the general two Higgs double model in comparison to the SM. We also make predictions for future collider observables $\mathrm{BR}(t\to ch)$, $\mathrm{BR}(h\to bs)$, $\mathrm{BR}(h\to \tau\mu)$, $\mathrm{BR}(B_{s}\rightarrow\tau^{+}\tau^{-})$, $\mathrm{BR}(B^{+}\rightarrow K^{+}\tau^{+}\tau^{-})$ and the flavour violating decays of the $\tau$ lepton, $\mathrm{BR}(\tau\rightarrow3\mu)$ and $\mathrm{BR}(\tau\to\mu\gamma)$. The model predicts values of $\mathrm{BR}(t\to ch)$, $\mathrm{BR}(B_{s}\rightarrow\tau^{+}\tau^{-})$ and $\mathrm{BR}(B^{+}\rightarrow K^{+}\tau^{+}\tau^{-})$ that are out of reach of future experiments, but its predictions for $\mathrm{BR}(h\to bs)$ and $\mathrm{BR}(h\to \tau\mu)$ are within the future sensitivity of the HL-LHC or the ILC. We also find that the predictions for the $\tau\rightarrow3\mu$ and $\tau\to\mu\gamma$ decays are well within the projected limits of the Belle II experiment. Finally, using the latest measurement of the Fermilab Muon $g-2$ Collaboration, we performed a simultaneous fit to $\Delta a_{\mu}$ constrained by the charged anomalies, finding solutions at the $1\sigma$ level. Once the neutral anomalies are included, however, a simultaneous explanation is unfeasible.
Copyright/License	publication: © 2022-2024 The Authors (License: CC BY 4.0), sponsored by SCOAP³ preprint: (License: CC BY 4.0)

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