Consequences of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>b</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:mi>s</mml:mi><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> anomalies on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:msup><mml:mi>K</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mo>*</mml:mo><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msup><mml:mi>ν</mml:mi><mml:mover accent="true"><mml:mi>ν</mml:mi><mml:mo stretchy="false">¯</mml:mo></mml:mover></mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>B</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo stretchy="false">→</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mi>η</mml:mi><mml:mo>,</mml:mo><mml:msup><mml:mi>η</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo stretchy="false">)</mml:mo><mml:mi>ν</mml:mi><mml:mover accent="true"><mml:mi>ν</mml:mi><mml:mo stretchy="false">¯</mml:mo></mml:mover></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>B</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo stretchy="false">→</mml:mo><mml:mi>ϕ</mml:mi><mml:mi>ν</mml:mi><mml:mover accent="true"><mml:mi>ν</mml:mi><mml:mo stretchy="false">¯</mml:mo></mml:mover></mml:math> decay observables

Abstract

The long persistent discrepancies in $b\ensuremath{\rightarrow}s{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ quark level transitions continue to be the ideal platform for an indirect search of beyond the standard model physics. The recent updated measurements of ${R}_{K}$, $\mathcal{B}({B}_{s}\ensuremath{\rightarrow}\ensuremath{\phi}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}})$ and $\mathcal{B}({B}_{s}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}})$ from LHCb deviate from the standard model expectations at more than the $3\ensuremath{\sigma}$ level. Similarly, measurements of ${R}_{{K}^{*}}$ and ${P}_{5}^{\ensuremath{'}}$ in $B\ensuremath{\rightarrow}{K}^{*}{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ decays disagree with the standard model predictions at $\ensuremath{\sim}2.4\ensuremath{\sigma}$ and $\ensuremath{\sim}3.3\ensuremath{\sigma}$, respectively. Moreover, recent measurement of ratio of branching ratios ${R}_{{K}_{S}^{0}}$ and ${R}_{{K}^{*+}}$ in ${B}^{0}\ensuremath{\rightarrow}{K}_{S}^{0}{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ and ${B}^{+}\ensuremath{\rightarrow}{K}^{+*}{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ decays deviate from the standard model prediction at $1.4\ensuremath{\sigma}$ and $1.5\ensuremath{\sigma}$, respectively. Considering the ${R}_{{K}_{S}^{0}}\ensuremath{-}{R}_{{K}^{*+}}$ combination, the difference with the SM predictions currently stands at about $2\ensuremath{\sigma}$. Motivated by these anomalies we search for the patterns of new physics in the family of flavor changing neutral current decays with neutral leptons in the final state undergoing $b\ensuremath{\rightarrow}s\ensuremath{\nu}\overline{\ensuremath{\nu}}$ quark level transitions. There are close relations between $b\ensuremath{\rightarrow}s{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ and $b\ensuremath{\rightarrow}s\ensuremath{\nu}\overline{\ensuremath{\nu}}$ transition decays not only in the standard model but also in beyond the standard model physics. In beyond the standard model physics the left handed charged leptons can be related to the neutral leptons via $SU(2{)}_{L}$ gauge symmetry. Moreover, there are several advantages of studying $b\ensuremath{\rightarrow}s\ensuremath{\nu}\overline{\ensuremath{\nu}}$ transitions over $b\ensuremath{\rightarrow}s{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ as they are free from various hadronic uncertainties such as the nonfactorizable corrections and photonic penguin contributions. In this context, we use the standard model effective field theory formalism and explore the consequences of $b\ensuremath{\rightarrow}s{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}$ anomalies on $B\ensuremath{\rightarrow}{K}^{(*)}\ensuremath{\nu}\overline{\ensuremath{\nu}}$, ${B}_{s}\ensuremath{\rightarrow}(\ensuremath{\eta},{\ensuremath{\eta}}^{\ensuremath{'}})\ensuremath{\nu}\overline{\ensuremath{\nu}}$, and ${B}_{s}\ensuremath{\rightarrow}\ensuremath{\phi}\ensuremath{\nu}\overline{\ensuremath{\nu}}$ decay observables in several 1D and 2D new physics scenarios.

Topics & Concepts