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How Large can the SUSY Contributions to $b\to s\ell^+\ell^-$ Processes be?

5 Apr 2023, 18:20
20m
Main Auditorium (Conference Centre “Karolos Papoulias”)

Main Auditorium

Conference Centre “Karolos Papoulias”

Speaker

Mr Kostas Mantzaropoulos (University of Ioannina)

Description

We examine how large the effects in $b\to s\ell^+\ell^-$ transitions in the MSSM with a general flavour structure can be. After carefully analyzing all potentially important supersymmetric contributions, we find that the largest effects arise in case of a light wino, a light smuon and muon sneutrino, a relatively light left stop, maximal mixing among left-handed down-squarks of the $2^{\rm nd}$ and $3^{\rm rd}$ generation, with one light (order 600 GeV) and one decoupled mass eigenstate. While the bound from $B\to X_s \gamma$ can always be avoided by a suitable choice of flavour violating $A$ terms or large $\mu$-term, $B_s-\bar B_s$ mixing depends mainly (for fixed squark and Wino masses) on the gluino and the Bino mass. However, also in the latter observable, a cancellation, because of the crossed gluino diagrams, is possible. We find that the effect in $R(K)$ and $R(K^*)$ can be at most of the order of 5\% and correlate this to SUSY searches at the LHC. Concerning the LFU observables where still tensions with the SM predictions exist, like $P_5^\prime$ and the total branching ratios of $B_s\to\phi\mu\mu$ and $B\to K\mu\mu$, only even smaller are possible, due to an unavoidable cancellation between the Wino box diagram and the respective off-shell photon penguin.

Primary authors

Andreas Crivellin (University of Zurich (CH)) Athanasios Dedes (University of Ioannina) Janusz Andrzej Rosiek (University of Warsaw (PL)) Mr Kostas Mantzaropoulos (University of Ioannina)

Presentation materials