New physics reach of the decay mode $\bar{B}\to {\bar{K}}^{\ast 0}{\ell }^{+}{\ell }^{-}$

Abstract

We present a complete method to construct QCD-protected observables based on the exclusive 4-body $B$-meson decay $\bar{B}\to {\bar{K}}^{\ast 0}{\ell }^{+}{\ell }^{-}$ in the low dilepton mass region. The core of the method is the requirement that the constructed quantities should fulfil the symmetries of the angular distribution. We have identified all symmetries of the angular distribution in the limit of massless leptons and explore: a new non-trivial relation between the coefficients of the angular distribution, the possibility to fully solve the system for the $K^{\ast }$ amplitudes, and the construction of non-trivial observables. We also present a phenomenological analysis of the new physics sensitivity of angular observables in the decay based on QCD factorisation. We further analyse the CP-conserving observables, $A_T^{(2)}$, $A_T^{(3)}$ and $A_T^{(4)}$. They are practically free of theoretical uncertainties due to the soft form factors for the full range of dilepton masses rather than just at a single point as for $A_{FB}$. They also have a higher sensitivity to specific new physics scenarios compared to observables such as $A_{FB}$. Moreover, we critically examine the new physics reach of CP-violating observables via a complete error analysis due to scale dependences, form factors and $\Lambda /m_b$ corrections. We have developed an ensemble method to evaluate the error on observables from $\Lambda /m_b$ corrections. Finally, we explore the experimental prospects of CP-violating observables and find that they are rather limited. Indeed, the CP-conserving (averaged) observables $A_T^{(i)}$ (with $i=2,3,4$) will offer a better sensitivity to large CP phases and may be more suitable for experimental analysis.

arXiv comment38 pages, 17 figures, updated version to fix a few typos

References in corpus (14)

• Symmetry-breaking corrections to heavy-to-light B meson form factors at large recoil
• Symmetries and Asymmetries of B -> K* mu+ mu- Decays in the Standard Model and Beyond
• Systematic approach to exclusive B ->V l^+l^-, V gamma decays
• Measurement of the Differential Branching Fraction and Forward-Backword Asymmetry for B->K(*)l+l-
• Exclusive radiative and electroweak b->d and b->s penguin decays at NLO
• CP Asymmetries in bar B -> bar K* (-> bar K pi) l+ l- and Untagged bar B_s,B_s -> phi (-> K+ K-) l+ l- Decays at NLO
• New observables in the decay mode anti-B --> anti-K*0 l+ l-
• Twist-4 Distribution Amplitudes of the K${}^{\ast }$ and $\varphi$ Mesons in QCD
• Huge right-handed current effects in B->K*(K pi)l+l- in supersymmetry
• |V_td/V_ts| from B-> V gamma
• New-physics contributions to the forward-backward asymmetry in B -> K* mu+ mu-
• Probing right-handed currents in B -> K* l+ l- transitions
• Form Factor Relations for Heavy-to-Light Transitions
• Gluon condensate and c-quark mass in pseudoscalar sum rules at 3-loop order

Cited by in corpus (72)

• Angular analysis of the $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$ decay using $3\,\mbox{fb}^{-1}$ of integrated luminosity
• Understanding the B->K*mu+mu- Anomaly
• Global analysis of $b\to s\ell \ell$ anomalies
• Optimizing the basis of B->K*ll observables in the full kinematic range
• Implications of LHCb measurements and future prospects
• Implications from clean observables for the binned analysis of B -> K*ll at large recoil
• On B -> V l l at small dilepton invariant mass, power corrections, and new physics
• On the impact of power corrections in the prediction of B->K*mu+mu- observables
• $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ decays at large recoil in the Standard Model: a theoretical reappraisal
• Complete Anatomy of B -> K*ll and its angular distribution
• Reassessing the discovery potential of the $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ decays in the large-recoil region: SM challenges and BSM opportunities
• On the anomalies in the latest LHCb data
• More Benefits of Semileptonic Rare B Decays at Low Recoil: CP Violation
• Rare $B$ Decays as Tests of the Standard Model
• Model-independent constraints on new physics in b --> s transitions
• On transverse asymmetries in B --> K* l+l-
• Global fits to b -> s ll data and signs for lepton non-universality
• On the LHCb anomaly in B -> K* l+ l-
• Exploring New Physics in the C7-C7' plane
• Hadronic and New Physics Contributions to $b\to s$ Transitions
• Impact of $B\to K_0^{\ast }{\ell }^{+}{\ell }^{-}$ on the New Physics search in $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ decay
• New Physics in b -> s mu+ mu-: CP-Violating Observables
• Disentangling the Decay Observables in $B^{-}\to {\pi }^{+}{\pi }^{-}{\ell }^{-}{\bar{\nu }}_{\ell }$
• Study of the rare semileptonic decays $B_d^0\to K^{\ast }{l}^{+}{l}^{-}$ in scalar leptoquark model
• Probing anomalous tWb interactions with rare B decays
• Bayesian Fit of Exclusive $b\to s\bar{\ell }\ell$ Decays: The Standard Model Operator Basis
• Supersymmetric constraints from Bs -> mu+mu- and B -> K* mu+mu- observables
• On the S-wave pollution of B-> K* l+l- observables
• Explanation of $B\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$ and muon $g-2$, and implications at the LHC
• (A)symmetries of weak decays at and near the kinematic endpoint
• The birds and the Bs in RS: the b to s gamma penguin in a warped extra dimension
• New-physics signals of a model with a vector-singlet up-type quark
• The effect of S-wave interference on the $B^0\to K^{\ast 0}{\ell }^{+}{\ell }^{-}$ angular observables
• Time dependence in $B\to V\ell \ell$ decays
• The Minimal Flavour Violation benchmark in view of the latest LHCb data
• Extracting Angular Observables without a Likelihood and Applications to Rare Decays
• On the Universality of CP Violation in Delta F = 1 Processes
• Exhaustive Model Selection in $b\to s\ell \ell$ Decays: Pitting Cross-Validation against AIC${}_c$
• Exploring dark matter, neutrino mass and $R_{K^{(\ast )},\varphi }$ anomalies in $L_{\mu }-L_{\tau }$ model
• Review of Semileptonic $B$ Anomalies
• Rare b hadron decays at the LHC
• New Physics Effects and Hadronic Form Factor Uncertainties in B -> K^* l^+ l^-
• Symmetries in $B\to D^{\ast }\ell \nu$ angular observables
• A new relation between the zero of $A_{FB}$ in $B^0\to K^{\ast }{\mu }^{+}{\mu }^{-}$ and the anomaly in $P_5^{\prime }$
• Decay $B_s\to \varphi {\ell }^{+}{\ell }^{-}$ in covariant quark model
• Exploiting the Symmetries of P and S wave for B --> K^* mu^+ mu^-
• General squark flavour mixing: constraints, phenomenology and benchmarks
• Lepton polarization effects in "Lambda_b -> Lambda l+l-" decay in family non-universal Z' model
• Impact of vector leptoquark on $\bar{B}\to {\bar{K}}^{\ast }{l}^{+}{l}^{-}$ anomalies
• Zooming in on $B\to K^{\ast }\ell \ell$ decays at low recoil
• New physics search with flavour in the LHC era
• Photon Polarization in the b->s gamma processes in the Left-Right Symmetric Model
• Decay $B\to K^{\ast }(\to K\pi ){\ell }^{+}{\ell }^{-}$ in covariant quark model
• (B -> K_2 l^+ l^-) decay beyond the Standard Model
• $B\to K_2^{\ast }(1430){\ell }^{+}{\ell }^{-}$ distributions in Standard Model at large recoil
• Angular analyses of exclusive $\Bbar\to X \ell_1 \ell_2$ with complex helicity amplitudes
• Theoretical status of $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$: The path towards New Physics
• Status of rare exclusive $B$ meson decays in 2018
• Study of ${\bar{B}}_s\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$ decays in the PQCD factorization approach with the lattice QCD input
• A complete description of P- and S-wave contributions to the $B^0\to K^{+}{\pi }^{-}{\ell }^{+}{\ell }^{-}$ decay
• Predictions of Angular Observables for ${\bar{B}}_s\to K^{\ast }\ell \ell$ and $\bar{B}\to \rho \ell \ell$ in Standard Model
• Method for an unbinned measurement of the $q^2$ dependent decay amplitudes of ${\bar{B}}^0\to {\bar{K}}^{\ast 0}{\mu }^{+}{\mu }^{-}$ decays
• Angular analysis of B --> V (--> P_1 P_2) l^+ l^- decays
• LHCb anomaly in $\mathbf{B}\to {\mathbf{K}}^{\ast }{\mathbf{\mu }}^{+}{\mathbf{\mu }}^{-}$ optimised observables and potential of ${\mathbf{Z}}^{\prime }$ Model
• Contribution of vector resonances to the {\bar B}_d^0 -> {\bar K}^{*0} mu^+ mu^- decay
• New physics in the angular distribution of $B_c^{-}\to J/\psi (\to {\mu }^{+}{\mu }^{-}){\tau }^{-}(\to {\pi }^{-}{\nu }_{\tau }){\bar{\nu }}_{\tau }$ decay
• A unique discrimination between new physics scenarios in $b\to s{\mu }^{+}{\mu }^{-}$ anomalies
• Charged Higgs Contribution on B_c decays into (D_s,D_s^*)l^+ l^-
• Angular analyses of exclusive $\overline{B}\to X_J{\ell }_1{\ell }_2$ decays for spin $J\le 4$
• Theoretical Review of Rare B Decays
• Round table on Standard Model Anomalies
• Model-independent unbinned analysis of $B\to K^{\ast }(\to K^{+}{\pi }^{-}){\mu }^{+}{\mu }^{-}$: zeroes, bounds, Wilson coefficients and symmetries