Charged Higgs: Interpretation of $B$-physics results

Article
Report number	arXiv:1412.2512 ; CERN-PH-TH-2014-251 ; CERN-PH-TH-2014-251
Title	Charged Higgs: Interpretation of $B$-physics results
Author(s)	Crivellin, Andreas (CERN)
Publication	SISSA, 2015-02-18
Imprint	08 Dec 2014
Number of pages	9
Note	Comments: 9 pages, 3 figures, invited talk at: Prospects for Charged Higgs Discovery at Colliders - Charged 2014 9 pages, 3 figures, invited talk at: Prospects for Charged Higgs Discovery at Colliders - Charged 2014
In:	PoS Charged2014 (2015) 015
In:	5th International Workshop: Prospects for Charged Higgs Discovery at Colliders, Uppsala, Sweden, 16 - 18 Sep 2014, pp.015
DOI	10.22323/1.209.0015
Subject category	Particle Physics - Phenomenology
Abstract	In these proceedings we review the impact of additional Higgs bosons on $B$ physics observables. For this purpose, we consider first the 2HDM of type II which respects natural flavour conservation. Afterwards, we study a 2HDM with generic flavour structure (of type III). While constraints from $B_{s,d}\to\mu^+\mu^+$ impose stringent bounds on non-minimal flavour violation in the down sector, $b\to s,d\gamma$ can also constrain flavour violation in the up sector. Despite these stringent constraints and the recent CMS bounds from $A^0\to\tau^+\tau^-$ it is shown that still large effects in tauonic $B$ decays are possible, such that the BABAR measurements of these decays can be explained. The matching of the Yukawa sector of the MSSM on the 2HDM is discussed.
Copyright/License	preprint: © 2014-2024 CERN (License: CC-BY-3.0) publication: © 2014-2024 The Author(s) (License: CC-BY-NC-SA-4.0)

$Updated constraints on the 2HDM of type II parameter space from flavour observables \cite{Crivellin:2013wna}. The regions compatible with experiment are shown (the regions are superimposed on each other): $b\to s\gamma$~\cite{Hermann:2012fc} (yellow), $B\to D\tau\nu$ (green), $B\to \tau \nu$ (red), $B_{s}\to \mu^{+} \mu^{-}$ (orange), $K\to \mu \nu/\pi\to \mu \nu$ (blue) and $B\to D^*\tau \nu$ (black). Note that no region in parameter space is compatible with all processes. The tension originates from the destructive interference of the Higgs contribution with the SM one in $B\to D^*\tau \nu$ which would require very small Higgs masses and large values of $\tan\beta$ not compatible with the other observables. To obtain this plot, we added the theoretical uncertainty linearly on top of the $2 \, \sigma$ experimental error.$ $Left: Allowed regions in the complex $\epsilon^{d}_{23}$--plane from $B_s\to\mu^+\mu^-$ for $\tan\beta=30$ and $m_{H}=700\mathrm{~GeV}$ (yellow), $m_{H}=500\mathrm{~GeV}$ (red) and $m_{H}=300\mathrm{~GeV}$ (blue). Note that the allowed regions for $\epsilon^{d}_{32}$--plane are not full circles because in this case a suppression of ${\cal B}\left[B_{s}\to\mu^+\mu^-\right]$ below the experimental lower bound is possible.\newline Right: Allowed regions for $\epsilon^{u}_{23}$ from $ B \to X_{s} \gamma$, obtained by adding the $2\,\sigma$ experimental error and theoretical uncertainty linear for $\tan\beta=50$ and $m_{H}=700 \, \mathrm{ GeV}$ (yellow), $m_{H}=500\, \mathrm{ GeV}$ (red) and $m_{H}=300 \,\mathrm{ GeV}$ (blue).$ $Left: Allowed regions in the complex $\epsilon^{d}_{23}$--plane from $B_s\to\mu^+\mu^-$ for $\tan\beta=30$ and $m_{H}=700\mathrm{~GeV}$ (yellow), $m_{H}=500\mathrm{~GeV}$ (red) and $m_{H}=300\mathrm{~GeV}$ (blue). Note that the allowed regions for $\epsilon^{d}_{32}$--plane are not full circles because in this case a suppression of ${\cal B}\left[B_{s}\to\mu^+\mu^-\right]$ below the experimental lower bound is possible.\newline Right: Allowed regions for $\epsilon^{u}_{23}$ from $ B \to X_{s} \gamma$, obtained by adding the $2\,\sigma$ experimental error and theoretical uncertainty linear for $\tan\beta=50$ and $m_{H}=700 \, \mathrm{ GeV}$ (yellow), $m_{H}=500\, \mathrm{ GeV}$ (red) and $m_{H}=300 \,\mathrm{ GeV}$ (blue).$ Show more plots

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