A reappraisal of the wrong-sign $hb\overline{b}$ coupling and the study of $h\to Z\gamma$

Abstract

It has been pointed out recently that current experiments still allow for a two Higgs doublet model where the $hb\bar{b}$ coupling ($k_D{m}_b/v$) is negative; a sign opposite to that of the Standard Model. Due to the importance of delayed decoupling in the $h{H}^{+}{H}^{-}$ coupling, $h\to \gamma \gamma$ improved measurements will have a strong impact on this issue. For the same reason, measurements or even bounds on $h\to Z\gamma$ are potentially interesting. In this article, we revisit this problem, highlighting the crucial importance of $h\to VV$, which can be understood with simple arguments. We show that the impacts on $k_D<0$ models of both $h\to b\bar{b}$ and $h\to {\tau }^{+}{\tau }^{-}$ are very sensitive to input values for the gluon fusion production mechanism; in contrast, $h\to \gamma \gamma$ and $h\to Z\gamma$ are not. We also inquire if the search for $h\to Z\gamma$ and its interplay with $h\to \gamma \gamma$ will impact the sign of the $hb\bar{b}$ coupling. Finally, we study these issues in the context of the Flipped two Higgs doublet model.

arXiv comment13 pages, pdf figures

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