<p>Rare decays of the kind <i>B</i> → <i>K</i><sup>∗</sup><i>μ</i><sup>+</sup><i>μ</i><sup>−</sup> and <i>B</i><sub><i>s</i></sub> → <i>ϕμ</i><sup>+</sup><i>μ</i><sup>−</sup> 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 <i>B</i> → <i>Kμ</i><sup>+</sup><i>μ</i><sup>−</sup> decays. Using the current data as a guideline, we illustrate the new method to determine the complex coefficients <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>C</mi> <mn>9</mn> <mfenced close=")" open="("> <mo>′</mo> </mfenced> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {C}_9^{\left(\prime \right)} \)</EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>C</mi> <mn>10</mn> <mfenced close=")" open="("> <mo>′</mo> </mfenced> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {C}_{10}^{\left(\prime \right)} \)</EquationSource> </InlineEquation> 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 <InlineEquation ID="IEq3"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>B</mi> <mi>s</mi> <mn>0</mn> </msubsup> <mo>→</mo> <msup> <mi>μ</mi> <mo>+</mo> </msup> <msup> <mi>μ</mi> <mo>−</mo> </msup> </math></EquationSource> <EquationSource Format="TEX">\( {B}_s^0\to {\mu}^{+}{\mu}^{-} \)</EquationSource> </InlineEquation> decays. Our strategy complements global fit efforts and could also help to disentangle long-distance QCD dynamics from possible new CP-violating interactions.</p>

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

  • Robert Fleischer,
  • Martijn van Hamersveld,
  • Tim Kortekaas,
  • Anders Rehult,
  • K. Keri Vos

摘要

Rare decays of the kind BKμ+μ and Bsϕμ+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+μ decays. Using the current data as a guideline, we illustrate the new method to determine the complex coefficients C 9 \( {C}_9^{\left(\prime \right)} \) and C 10 \( {C}_{10}^{\left(\prime \right)} \) 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 μ + μ \( {B}_s^0\to {\mu}^{+}{\mu}^{-} \) decays. Our strategy complements global fit efforts and could also help to disentangle long-distance QCD dynamics from possible new CP-violating interactions.