Likelihood analysis of the flavour anomalies and g – 2 in the general two Higgs doublet model
Peter Athron, Csaba Balázs, Tomás E. Gonzalo, Douglas Jacob, F. Mahmoudi, Cristian Sierra
Abstract
A bstract 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 → cl $$ \overline{\nu} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mi>ν</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> and b → sμ + μ − transitions, respectively. We corroborate that the model explains the latter and it is able to simultaneously fit the experimental values of the R ( D ) charged current ratio at 1 σ , but it can not accommodate the D * charmed meson observables R ( D * ) and F L ( D * ). We find that the fitted values for the angular observables in b → sμ + μ − transitions exhibit better agreement with the general two Higgs double model in comparison to the SM. We also make predictions for future collider observables BR( t → ch ), BR( h → bs ), BR( h → τμ ), BR( B s → τ + τ − ), BR( B + → K + τ + τ − ) and the flavour violating decays of the τ lepton, BR( τ → 3 μ ) and BR( τ → μγ ). The model predicts values of BR( t → ch ), BR( B s → τ + τ − ) and BR( B + → K + τ + τ − ) that are out of reach of future experiments, but its predictions for BR( h → bs ) and BR( h → τμ ) are within the future sensitivity of the HL-LHC or the ILC. We also find that the predictions for the τ → 3 μ and τ → μγ 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 ∆ a μ constrained by the charged anomalies, finding solutions at the 1 σ level. Once the neutral anomalies are included, however, a simultaneous explanation is unfeasible.