Rare K and B Decays in a Warped Extra Dimension with Custodial Protection

Abstract

We present a complete study of rare K and B meson decays in a warped extra dimensional model with a custodial protection of (both diagonal and non-diagonal) Z d_L^i \bar d_L^j couplings, including K^+ -> pi^+ nu anti-nu, K_L -> pi^0 nu anti-nu, K_L -> pi^0 l^+ l^-, K_L -> mu^+ mu^-, B_{s,d} -> mu^+ mu^-, B -> K nu anti-nu, B -> K^* nu anti-nu and B -> X_{s,d} nu anti-nu. In this model in addition to Standard Model one loop contributions these processes receive tree level contributions from the Z boson and the new heavy electroweak gauge bosons. We analyse all these contributions that turn out to be dominated by tree level Z boson exchanges governed by right-handed couplings to down-type quarks. Imposing all existing constraints from Delta F=2 transitions analysed by us recently and fitting all quark masses and CKM mixing parameters we find that a number of branching ratios for rare K decays can differ significantly from the SM predictions, while the corresponding effects in rare B decays are modest, dominantly due to the custodial protection being more effective in B decays than in K decays. In order to reduce the parameter dependence we study correlations between various observables within the K system, within the B system and in particular between K and B systems, and also between Delta F=2 and Delta F=1 observables. These correlations allow for a clear distinction between this new physics scenario and models with minimal flavour violation or the Littlest Higgs Model with T-parity, and could give an opportunity to future experiments to confirm or rule out the model. We show how our results would change if the custodial protection of Z d_L^i bar d^j_L couplings was absent. In the case of rare B decays the modifications are spectacular.

arXiv comment50 pages, 17 figures. v2: minor clarifying comments and references added. v3: few clarifying comments added, matches published version

References in corpus (55)

• A Large Mass Hierarchy from a Small Extra Dimension
• Minimal Flavour Violation: an effective field theory approach
• CP Violation and the CKM Matrix: Assessing the Impact of the Asymmetric B Factories
• Bulk Fields and Supersymmetry in a Slice of AdS
• Neutrino masses and mixings in non-factorizable geometry
• A custodial symmetry for Zbb
• Light custodians in natural composite Higgs models
• RS1, Custodial Isospin and Precision Tests
• Universal Unitarity Triangle and Physics Beyond the Standard Model
• Towards a Realistic Model of Higgsless Electroweak Symmetry Breaking
• Flavor Structure of Warped Extra Dimension Models
• The Rare Decays $K\to \pi \nu \bar{\nu }$, $B\to X\nu \bar{\nu }$ and $B\to l^{+}{l}^{-}$ -- An Update
• Bulk Standard Model in the Randall-Sundrum Background
• $K_L\to {\pi }^0\nu \bar{\nu }$ Beyond the Standard Model
• The Flavor of the Composite Pseudo-Goldstone Higgs
• Flavor violation and warped geometry
• Flavor Physics in the Randall-Sundrum Model: I. Theoretical Setup and Electroweak Precision Tests
• Anatomy of Prominent B and K Decays and Signatures of CP-Violating New Physics in the Electroweak Penguin Sector
• Enhancement of the $K_L$ -- $K_S$ Mass Difference by Short Distance QCD Corrections Beyond Leading Logarithms
• New measurement of the K+ => pi+,nu,nubar branching ratio
• Light Kaluza-Klein States in Randall-Sundrum Models with Custodial SU(2)
• Relations between ΔM_{s,d} and B_{s,d}\to μ\barμin Models with Minimal Flavour Violation
• Rare and CP-Violating K and B Decays in the Littlest Higgs Model with T-Parity
• Correlations among new CP violating effects in Delta F = 2 observables
• Electroweak constraints on warped models with custodial symmetry
• Phenomenology of non-standard Z couplings in exclusive semileptonic b -> s transitions
• The Complete |Delta S|=2 Hamiltonian in the Next-To-Leading Order
• Improved estimates of rare K decay matrix-elements from Kl3 decays
• Possible Indications of New Physics in Bd-mixing and in sin(2 beta) Determinations
• Charm Quark Contribution to K+ -> pi+ nu anti-nu at Next-to-Next-to-Leading Order
• Implications of the measurement of the B^0_s-\bar B^0_s mass difference
• The Rare Decay K^+ -> pi^+ nu nubar at the Next-to-Next-to-Leading Order in QCD
• On the short-distance constraints from K_{L,S} -> mu^+ mu^-
• Next--to--Leading Order QCD corrections for the $B^0\overline{B^0}$--mixing with an extended Higgs sector
• Constraints on New Physics in MFV models: a model-independent analysis of Delta F=1 processes
• Indirect CP-Violation in the Neutral Kaon System Beyond Leading Logarithms
• Search for the Decay $K_L\to {\pi }^0{\mu }^{+}{\mu }^{-}$
• Electroweak Corrections to the Charm Quark Contribution to K+ -> pi+ nu nu-bar
• Search for the Rare Decay KL --> pi0 ee
• Direct CP Violation in K_L --> π^0 e^+e^- Beyond Leading Logarithms
• Constraints on new physics from the quark mixing unitarity triangle
• Constraints on the Bulk Standard Model in the Randall-Sundrum Scenario
• Extracting short-distance physics from K_{L,S} -> pi0 e+ e- decays
• Charm-Quark Contribution to K_L -> mu^+ mu^- at Next-to-Next-to-Leading
• Flavour physics of the RS model with KK masses reachable at LHC
• KL to pi0 e+ e- and KL to pi0 mu+ mu- : A binary star on the stage of flavor physics
• Rare Kaon Decays Revisited
• Waiting for Precise Measurements of K^+->pi^+ nu nu and K_L->pi^0 nu nu
• Flavor Violation in Warped Extra Dimensions and CP Asymmetries in B Decays
• A New Custodian for a Realistic Higgsless Model
• Rare Kaon Decays in the $1/N_c$-Expansion
• $\sin 2\beta$ from $K\to \pi \nu \bar{\nu }$
• Bounds on the Unitarity Triangle, $\sin 2\beta$ and $K\to \pi \nu \bar{\nu }$ Decays in Models with Minimal Flavour Violation
• Calorimetric transverse energy-energy correlations as a probe of jet quenching
• The rare decay KL -> pi0 mu+ mu- within the SM

Cited by in corpus (81)

• Flavor Physics Constraints for Physics Beyond the Standard Model
• Implications of LHCb measurements and future prospects
• $B$ Meson Anomalies in a Pati-Salam Model within the Randall-Sundrum Background
• Anatomy and Phenomenology of FCNC and CPV Effects in SUSY Theories
• Flavor Physics in the Quark Sector
• Higgs-mediated FCNCs: Natural Flavour Conservation vs. Minimal Flavour Violation
• Importance of Loop Effects in Explaining the Accumulated Evidence for New Physics in B Decays with a Vector Leptoquark
• An explicit Z'-boson explanation of the B->K*mu+mu- anomaly
• New strategies for New Physics search in B -> K* nu anti-nu, B -> K nu anti-nu and B -> X(s) nu anti-nu decays
• Left-handed Z' and Z FCNC quark couplings facing new b -> s mu^+ mu^- data
• Measurement of the very rare $K^{+}\to {\pi }^{+}\nu \bar{\nu }$ decay
• Rare $B$ Decays as Tests of the Standard Model
• The Hunt for New Physics at the Large Hadron Collider
• Physics searches at the LHC
• Towards the Identification of New Physics through Quark Flavour Violating Processes
• Flavor Physics in the Randall-Sundrum Model: II. Tree-Level Weak-Interaction Processes
• Quark flavour observables in the Littlest Higgs model with T-parity after LHC Run 1
• $K\to \pi \nu \bar{\nu }$ and ${\epsilon }^{\prime }/\epsilon$ in Simplified New Physics Models
• Probing New Physics with the B_s to μ+ μ- Time-Dependent Rate
• SM with four generations: Selected implications for rare B and K decays
• Combining Direct & Indirect Kaon CP Violation to Constrain the Warped KK Scale
• Warped 5-Dimensional Models: Phenomenological Status and Experimental Prospects
• Z-Z' Mixing and Z-Mediated FCNCs in SU(3)_C x SU(3)_L x U(1)_X Models
• $b\to s$ Transitions in Family-dependent $U(1{)}^{\prime }$ Models
• The Anatomy of Z' and Z with Flavour Changing Neutral Currents in the Flavour Precision Era
• Patterns of Flavour Violation in the Presence of a Fourth Generation of Quarks and Leptons
• Electroweak and Flavour Structure of a Warped Extra Dimension with Custodial Protection
• Anatomy of flavour-changing Z couplings in models with partial compositeness
• Revisiting Kaon Physics in General $Z$ Scenario
• Direct and indirect signals of natural composite Higgs models
• FCNC Effects in a Minimal Theory of Fermion Masses
• Ultra Visible Warped Model From Flavor Triviality & Improved Naturalness
• Dirac Neutrinos with $S_4$ Flavor Symmetry in Warped Extra Dimensions
• Higgs Production from Gluon Fusion in Warped Extra Dimensions
• The Impact of Kaluza-Klein Fermions on Standard Model Fermion Couplings in a RS Model with Custodial Protection
• Flavor Alignment via Shining in RS
• Nonstandard Yukawa Couplings and Higgs Portal Dark Matter
• CP Violation in D0 - anti-D0 Oscillations: General Considerations and Applications to the Littlest Higgs Model with T-Parity
• Warped Penguins
• The birds and the Bs in RS: the b to s gamma penguin in a warped extra dimension
• Particle-Antiparticle Mixing, CP Violation and Rare K and B Decays in a Minimal Theory of Fermion Masses
• The Flavor of the Composite Twin Higgs
• Gauge-Higgs Unification, Neutrino Masses and Dark Matter in Warped Extra Dimensions
• 5D Perspective on Higgs Production at the Boundary of a Warped Extra Dimension
• New Physics Patterns in ${\epsilon }^{\prime }/\epsilon$ and ${\epsilon }_K$ with Implications for Rare Kaon Decays and $\Delta M_K$
• Relaxing Constraints from Lepton Flavor Violation in 5D Flavorful Theories
• LHC Signals for Coset Electroweak Gauge Bosons in Warped/Composite PGB Higgs Models
• Constraining the flavor changing Higgs couplings to the top-quark at the LHC
• The Anatomy of Neutral Scalars with FCNCs in the Flavour Precision Era
• Bulk Fermions in Warped Models with a Soft Wall
• Manifestations of Warped Extra Dimension in Rare Charm Decays and Asymmetries
• A Flavor Protection for Warped Higgsless Models
• The Impact of a 4th Generation on Mixing and CP Violation in the Charm System
• A fourth generation, anomalous like-sign dimuon charge asymmetry and the LHC
• Search for $B_s\to {\mu }^{+}{\mu }^{-}$ and $B_d\to {\mu }^{+}{\mu }^{-}$ decays with the full CDF Run II data set
• $K\to {\mu }^{+}{\mu }^{-}$ as a clean probe of short-distance physics
• Dynamical origin of flavor hierarchies in a warped extra dimension
• Higgs Bosons in Warped Space, from the Bulk to the Brane
• Shining Flavor and Radion Phenomenology in Warped Extra Dimension
• Rare semileptonic $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ decays in RS${}_c$ model
• $R_{D^{(\ast )}}$ in custodial warped space
• Higgs Decay into Two Photons at the Boundary of a Warped Extra Dimension
• Flavour issues in warped custodial models: $B$ anomalies and rare $K$ decays
• Constraints on Scalar Leptoquark from Kaon Sector
• Fourth generation effect on ${\Lambda }_b$ decays
• SU(6) Gauge-Higgs Grand Unification: Minimal Viable Models and Flavor
• Higgs Couplings and Phenomenology in a Warped Extra Dimension
• Comparative analysis of the ${\Lambda }_b\to \Lambda {\ell }^{+}{\ell }^{-}$ decay in the SM, SUSY and RS model with custodial protection
• Impact of Warped Extra Dimensions on the Dipole Coefficients in $\mathbf{b}\to \mathbf{s\gamma }$ Transitions
• Detecting Fourth Generation Quarks at Hadron Colliders
• Fourth-generation SM imprints in B -> K^*l^+l^- decays with polarized K^*
• ORKA: The Golden Kaon Experiment
• Residue theorem and summing over Kaluza-Klein excitations
• Rare decays B\to Mν\barν in the TC2 model and the LHT model
• Confronting $B$ anomalies with low energy parity violation
• The effect of boundary conditions on dimensionally reduced field-theoretical models at finite temperature
• Feynman Amplitudes in Periodically Compactified Spaces -- Spin 0
• Results and prospects for $K\to \pi \nu \bar{\nu }$ at NA62 and KOTO
• Study the Forward-Backward Asymmetry of the Top Quark Production in the Randall-Sundrum Model with an Extension of Strong Interaction
• Indirect tests of the Randall-Sundrum model
• Constraints on Randall-Sundrum model from top-antitop production at the LHC