Electroweak and Flavour Structure of a Warped Extra Dimension with Custodial Protection

We present the electroweak and flavour structure of a model with a warped extra dimension and the bulk gauge group SU(3)c × SU(2)L × SU(2)R × PLR × U(1)X. The presence of SU(2)R implies an unbroken custodial symmetry in the Higgs system allowing to eliminate large contributions to the T parameter, whereas the PLR symmetry and the enlarged fermion representations provide a custodial symmetry for flavour diagonal and flavour changing couplings of the SM Z boson to left-handed down-type quarks. We diagonalise analytically the mass matrices of charged and neutral gauge bosons including the first KK modes. We present the mass matrices for quarks including heavy KK modes and discuss the neutral and charged currents involving light and heavy fields. We give the corresponding complete set of Feynman rules in the unitary gauge.

[1]  Hall,et al.  Weak-scale effective supersymmetry. , 1990, Physical review letters.

[2]  A. Buras,et al.  Minimal Flavour Violation Waiting for Precise Measurements of Delta M_s, S_{psi phi}, A^s_SL, |V_ub|, gamma and B^0_{s,d} -> mu+ mu- , 2006, hep-ph/0604057.

[3]  E. Lunghi,et al.  Possible indications of new physics in B d -mixing and in sin (2 β) determinations , 2008, 0803.4340.

[4]  J. Santiago Minimal flavor protection: a new flavor paradigm in warped models , 2008, 0806.1230.

[5]  C. Csáki,et al.  ELECTROWEAK SYMMETRY BREAKING FROM EXTRA DIMENSIONS , 2006 .

[6]  G. Moreau,et al.  Neutrinos in a warped extra dimension , 2005, hep-ph/0507145.

[7]  M. Yamaguchi,et al.  Bulk Standard Model in the Randall-Sundrum Background , 1999, hep-ph/9912498.

[8]  Antonio Delgado,et al.  RS1, custodial isospin and precision tests , 2003 .

[9]  Amarjit Soni,et al.  The Little Randall-Sundrum Model at the Large Hadron Collider , 2008, 0802.0203.

[10]  K. Agashe Relaxing Constraints from Lepton Flavor Violation in 5D Flavorful Theories , 2009, 0902.2400.

[11]  Andrzej J. Buras,et al.  Rare K and B Decays in a warped extra dimension with custodial protection , 2008, 0812.3803.

[12]  V. Ramakrishnan,et al.  First Flavor-Tagged Determination of Bounds on Mixing-Induced CP Violation in B{sub s}{sup 0}{yields}J/{psi}{phi} Decays , 2007, 0712.2397.

[13]  Higgs as a holographic pseudo-Goldstone boson , 2003, hep-ph/0306259.

[14]  S. Gori Patterns of flavour violation in a warped extra dimensional model with custodial protection , 2009, 0901.4704.

[15]  G. Burdman Constraints on the bulk standard model in the Randall-Sundrum scenario , 2002, hep-ph/0205329.

[16]  I. Have Measurement of the B ! , 2007 .

[17]  R. E. Hall,et al.  Measurement of Bs0 mixing parameters from the flavor-tagged decay Bs0-->J/psiphi. , 2008, Physical review letters.

[18]  M. N. Rebelo,et al.  Flavor physics of leptons and dipole moments , 2008, 0801.1826.

[19]  A. Pomarol,et al.  Bulk fields and supersymmetry in a slice of AdS , 2000 .

[20]  E. Iltan The effects of lepton KK modes on the electric dipole moments of the leptons in the Randall–Sundrum scenario , 2007, 0708.3765.

[21]  M. Carena,et al.  Light Kaluza Klein States in Randall-Sundrum Models with Custodial SU(2) , 2006, hep-ph/0607106.

[22]  G. Brooijmans Mixing and CP Violation at the Tevatron , 2008, 0808.0726.

[23]  Grand unification in RS1 , 2002, hep-ph/0212028.

[24]  Joachim Kopp EFFICIENT NUMERICAL DIAGONALIZATION OF HERMITIAN 3 × 3 MATRICES , 2006 .

[25]  U. Haisch,et al.  Flavor physics in the Randall-Sundrum model I. Theoretical setup and electroweak precision tests , 2008, 0807.4937.

[26]  S. Huber,et al.  Higgs mechanism and bulk gauge boson masses in the Randall-Sundrum model , 2000, hep-ph/0005286.

[27]  H. Nielsen,et al.  Hierarchy of Quark Masses, Cabibbo Angles and CP Violation , 1979 .

[28]  K. Agashe,et al.  Flavor-violation tests of the warped/composite standard model in the two-site approach , 2008, 0810.1016.

[29]  Amarjit Soni,et al.  Flavor Structure of Warped Extra Dimension Models , 2005 .

[30]  L. Randall,et al.  Flavor anarchy in a Randall-Sundrum model with 5D minimal flavor violation and a low Kaluza-Klein scale. , 2008, Physical review letters.

[31]  J. Casas,et al.  Oscillating neutrinos and ? e, ? , 2001, hep-ph/0103065.

[32]  C. Grojean,et al.  Fermions on an interval: Quark and lepton masses without a Higgs , 2003, hep-ph/0310355.

[33]  Andrzej J. Buras,et al.  ΔF = 2 observables and fine-tuning in a warped extra dimension with custodial protection , 2008, 0809.1073.

[34]  Roberto Contino,et al.  Warped/composite phenomenology simplified , 2006, hep-ph/0612180.

[35]  C. Csáki,et al.  Towards a realistic model of Higgsless electroweak symmetry breaking. , 2003, Physical Review Letters.

[36]  Y. Grossman,et al.  Neutrino masses and mixings in non-factorizable geometry , 1999 .

[37]  Minimal higher-dimensional extensions of the standard model and electroweak observables , 2001, hep-ph/0110391.

[38]  G. Burdman Flavor violation in warped extra dimensions and CP Asymmetries in B decays , 2003, hep-ph/0310144.

[39]  A. Buras,et al.  Rare and CP-Violating K and B Decays in the Littlest Higgs Model with T-Parity , 2006, hep-ph/0610298.

[40]  U. Haisch,et al.  Little Randall-Sundrum models: {epsilon}{sub K} strikes again , 2008, 0811.3678.

[41]  Bjoern Duling K and B meson mixing in warped extra dimensions with custodial protection , 2009, 0901.4599.

[42]  H. Murayama,et al.  Gauge Theories on an Interval: Unitarity Without a Higgs Boson , 2004 .

[43]  C. Csáki,et al.  Flavor alignment via shining in Randall-Sundrum models , 2009, 0907.0474.

[44]  Howard Georgi,et al.  Composite-technicolor standard model , 1987 .

[45]  A. Pomarol,et al.  Light custodians in natural composite Higgs models , 2006, hep-ph/0612048.

[46]  C. Csáki,et al.  The flavor of the composite pseudo-goldstone Higgs , 2008, 0804.1954.

[47]  V. A. Mukhin,et al.  New measurement of the K+ ---> pi+ nu anti-nu branching ratio , 2008, 0808.2459.

[48]  A. Buras,et al.  B, D and K decays , 2008, 0801.1833.

[49]  A. Buras Messages on Flavour Physics Beyond the Standard Model , 2008, 0902.0501.

[50]  L. Randall,et al.  A Large mass hierarchy from a small extra dimension , 1999, hep-ph/9905221.

[51]  M. Carena,et al.  Electroweak constraints on warped models with custodial symmetry , 2007, hep-ph/0701055.

[52]  B. Grinstein Minimal Flavor Violation , 2007, 0706.4185.

[53]  F. Goertz,et al.  On the Perturbative Approach in the Randall-Sundrum Model , 2008, 0809.1378.

[54]  Resolving the AFBb puzzle in an extra dimensional model with an extended gauge structure , 2006, hep-ph/0610173.

[55]  Chunlei Liu First Flavor-Tagged Determination of Bounds on Mixing-Induced CP Violation in B s ^0 ->J/ψ, Decays , 2008 .

[56]  C. Csaki,et al.  A GIM mechanism from extra dimensions , 2007, 0709.1714.

[57]  A. Buras,et al.  Particle-Antiparticle Mixing, epsilon_K, Delta Gamma_q, A_SL^q, A_CP(B_d -> psi K_S), A_CP(B_s -> psi phi) and B -> X_{s,d} gamma in the Littlest Higgs Model with T-Parity , 2006, hep-ph/0605214.

[58]  S. Glashow,et al.  Weak Interactions with Lepton-Hadron Symmetry , 1970 .

[59]  G. Moreau,et al.  The precision electroweak data in warped extra-dimension models , 2008, 0807.4461.

[60]  T. Han,et al.  LHC signals for warped electroweak charged gauge bosons , 2008, 0810.1497.

[61]  Hayes,et al.  Review of Particle Physics. , 1996, Physical review. D, Particles and fields.

[62]  L. Silvestrini,et al.  Universal unitarity triangle and physics beyond the standard model , 2001 .

[63]  Roberto Contino,et al.  The Minimal Composite Higgs Model , 2005 .

[64]  A. Pomarol,et al.  A custodial symmetry for Zbb , 2006, hep-ph/0605341.

[65]  M. Pierini,et al.  First evidence of new physics in b ↔ stransitions , 2008, 0803.0659.

[66]  G. Isidori,et al.  Minimal flavour violation: an effective field theory approach , 2002 .

[67]  Theoretical update of Bs-Bs-bar mixing , 2006, hep-ph/0612167.

[68]  G. Moreau,et al.  Flavour physics of the RS model with KK masses reachable at LHC , 2006, hep-ph/0602155.

[69]  S. Huber,et al.  Flavor violation and warped geometry , 2003, hep-ph/0303183.

[70]  G. Isidori,et al.  Solving the flavour problem with hierarchical fermion wave functions , 2007, 0711.3376.

[71]  C. Csáki,et al.  Effective Lagrangian in the Randall-Sundrum model and electroweak physics , 2002, hep-ph/0203034.

[72]  C. Csáki,et al.  Simple flavor protection for the Randall-Sundrum model , 2009 .

[73]  Z. Si,et al.  CERN LHC signals for warped electroweak neutral gauge bosons , 2007, 0709.0007.

[74]  A. Buras,et al.  The Impact of Kaluza-Klein Fermions on Standard Model Fermion Couplings in a RS Model with Custodial Protection , 2009, 0905.2318.

[75]  T. Gherghetta Course 6 – Warped Models and Holography , 2006 .

[76]  K. Agashe,et al.  KK parity in warped extra dimension , 2007, 0712.2455.

[77]  A. Buras,et al.  Correlations among new CP violating effects in {delta}F=2 observables , 2008, 0805.3887.

[78]  C. Csáki,et al.  Flavor Alignment via Shining in RS , 2009, 0907.0474.

[79]  H. Murayama,et al.  Gauge Theories on an Interval: Unitarity without a Higgs , 2003, hep-ph/0305237.

[80]  C. Wagner,et al.  Gauge-Higgs Unification and Radiative Electroweak Symmetry Breaking in Warped Extra Dimensions , 2007, 0706.1281.