Probing new physics through CP violation in B(s) → V μ+μ− decays

A bstract Rare decays of the kind B → K ∗ μ + μ − and B s → ϕμ + μ − are key players for testing the Standard Model. The current experimental data for their decay rates and angular observables show tensions with the theoretical predictions that may be indications of New Physics. We present a strategy to extract the relevant short-distance coefficients in the presence of new sources of CP violation from a minimal set of observables, utilizing the synergy between the rare modes with vector meson final states and B → Kμ + μ − decays. Using the current data as a guideline, we illustrate the new method to determine the complex coefficients $$ {C}_9^{\left(\prime \right)} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>C</mml:mi> <mml:mn>9</mml:mn> <mml:mfenced> <mml:mo>′</mml:mo> </mml:mfenced> </mml:msubsup> </mml:math> and $$ {C}_{10}^{\left(\prime \right)} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>C</mml:mi> <mml:mn>10</mml:mn> <mml:mfenced> <mml:mo>′</mml:mo> </mml:mfenced> </mml:msubsup> </mml:math> using only four angular observables. Interestingly, the current experimental picture leaves significant room for CP-violating New Physics. We discuss also the link to leptonic $$ {B}_s^0\to {\mu}^{+}{\mu}^{-} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>B</mml:mi> <mml:mi>s</mml:mi> <mml:mn>0</mml:mn> </mml:msubsup> <mml:mo>→</mml:mo> <mml:msup> <mml:mi>μ</mml:mi> <mml:mo>+</mml:mo> </mml:msup> <mml:msup> <mml:mi>μ</mml:mi> <mml:mo>−</mml:mo> </mml:msup> </mml:math> decays. Our strategy complements global fit efforts and could also help to disentangle long-distance QCD dynamics from possible new CP-violating interactions.