Testing the Standard Model and searching for New Physics with $B_d\to \pi \pi$ and $B_s\to KK$ decays

Abstract

We propose to perform a combined analysis of $B\to \pi \pi$ and $B_s\to K^{+}{K}^{-}$ modes, in the framework of a global CKM fit. The method optimizes the constraining power of these decays and allows to derive constraints on NP contributions to penguin amplitudes or on the $B_s$ mixing phase. We illustrate these capabilities with a simplified analysis using the recent measurements by the LHCb Collaboration, neglecting correlations with other SM observables.

arXiv comment5 pages, 4 figures. v2: references and clarifications added, version published in JHEP

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