Higgs low-energy theorem (and its corrections) in composite models

A bstractThe Higgs low-energy theorem gives a simple and elegant way to estimate the couplings of the Higgs boson to massless gluons and photons induced by loops of heavy particles. We extend this theorem to take into account possible nonlinear Higgs interactions as well as new states resulting from a strong dynamics at the origin of the breaking of the electroweak symmetry. We show that, while it approximates with an accuracy of order a few percents single Higgs production, it receives corrections of order 50% for double Higgs production. A full one-loop computation of the gg → hh cross section is explicitly performed in MCHM5, the minimal composite Higgs model based on the SO(5)/SO(4) coset with the Standard Model fermions embedded into the fundamental representation of SO(5). In particular we take into account the contributions of all fermionic resonances, which give sizeable (negative) corrections to the result obtained considering only the Higgs nonlinearities. Constraints from electroweak precision and flavor data on the top partners are analyzed in detail, as well as direct searches at the LHC for these new fermions called to play a crucial role in the electroweak symmetry breaking dynamics.

[1]  A. Wulzer,et al.  Light top partners for a light composite Higgs , 2012, 1204.6333.

[2]  M. Raidal,et al.  Reconstructing Higgs boson properties from the LHC and Tevatron data , 2012, 1203.4254.

[3]  J. Mrázek,et al.  A Strong Sector at the LHC: Top Partners in Same-Sign Dileptons , 2009, 0909.3977.

[4]  H. Georgi,et al.  Higgs Bosons from Two-Gluon Annihilation in Proton-Proton Collisions , 1978 .

[5]  M. Dorigo,et al.  Search for heavy bottomlike quarks decaying to an electron or muon and jets in pp collisions at √s = 1.96  TeV. , 2011, Physical review letters.

[6]  J. T. Childers,et al.  Search for same-sign top-quark production and fourth-generation down-type quarks in pp collisions at $ \sqrt {s} = {7}\;{\text{TeV}} $ with the ATLAS detector , 2012 .

[7]  A. Y. Rodríguez-Marrero,et al.  Higgs boson production via vectorlike top-partner decays: Diphoton or multilepton plus multijets channels at the LHC , 2012, 1204.0455.

[8]  Riccardo Barbieri,et al.  Higgs boson from an extended symmetry , 2007, 0706.0432.

[9]  A. Martin,et al.  Parton distributions for the LHC , 2009, 0901.0002.

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

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

[12]  G. Altarelli,et al.  Toward a model-independent analysis of electroweak data , 1992 .

[13]  R. Lafaye,et al.  Measuring Higgs couplings from LHC data. , 2012, Physical review letters.

[14]  C. Grojean,et al.  (Dys)Zphilia or a custodial breaking Higgs at the LHC , 2012, 1205.0011.

[15]  A. Vainshtein,et al.  Low-Energy Theorems for Higgs Boson Couplings to Photons , 1979 .

[16]  R. Rattazzi,et al.  Strong double higgs production at the LHC , 2010, 1002.1011.

[17]  The Aleph Collaboration,et al.  Precision electroweak measurements on the Z resonance , 2005, hep-ex/0509008.

[18]  G. Dissertori,et al.  Discovery potential of top-partners in a realistic composite Higgs model with early LHC data , 2010, 1005.4414.

[19]  S. Farrington,et al.  Handbook of LHC Higgs Cross Sections: 1. Inclusive Observables , 2011, 1101.0593.

[20]  A. Djouadi.  The Anatomy of electro-weak symmetry breaking. I: The Higgs boson in the standard model , 2005, hep-ph/0503172.

[21]  T. Tait,et al.  Top compositeness at the Tevatron and LHC , 2007, 0712.3057.

[22]  P. Lodone.  Vector-like quarks in a ``composite'' Higgs model , 2008, 0806.1472.

[23]  A. Falkowski,et al.  Interpreting LHC Higgs results from natural new physics perspective , 2012, 1202.3144.

[24]  C. Grojean,et al.  The Strongly-Interacting Light Higgs , 2007, hep-ph/0703164.

[25]  J. Bij,et al.  HIGGS BOSON PAIR PRODUCTION VIA GLUON FUSION , 1988 .

[26]  Michele Redi,et al.  Composite MFV and beyond , 2012, 1203.4220.

[27]  C. Bini,et al.  Heavy-light decay topologies as a new strategy to discover a heavy gluon , 2011, 1110.6058.

[28]  A. Tesi,et al.  Implications of a light Higgs in composite models , 2012, 1205.0232.

[29]  J. A. Aguilar-Saavedra,et al.  Identifying top partners at LHC , 2009, 0907.3155.

[30]  N. Vignaroli.  Discovering the composite Higgs through the decay of a heavy fermion , 2012, 1204.0468.

[31]  J. Ellis,et al.  Global analysis of experimental constraints on a possible Higgs-like particle with mass ∼ 125 GeV , 2012, 1204.0464.

[32]  M. L. Ferrer,et al.  Search for Down-Type Fourth Generation Quarks with the ATLAS Detector in Events with One Lepton and Hadronically Decaying W Bosons , 2012 .

[33]  T. Hahn,et al.  Automatized One-Loop Calculations in 4 and D dimensions , 1998 .

[34]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[35]  M. Mühlleitner,et al.  Production of neutral Higgs-boson pairs at LHC , 1999, hep-ph/9904287.

[36]  Andreas Weiler,et al.  Flavor and CP invariant composite Higgs models , 2011, 1106.6357.

[37]  S. Matsumoto,et al.  Search for the Top Partner at the LHC using Multi-b-Jet Channels , 2012, 1204.2317.

[38]  M. Mühlleitner,et al.  Fingerprinting Higgs suspects at the LHC , 2012, 1202.3697.

[39]  U. Baur,et al.  Measuring the Higgs boson self-coupling at the Large Hadron Collider. , 2002, Physical review letters.

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

[41]  M. Serone,et al.  Dark Matter and Electroweak Symmetry Breaking in Models with Warped Extra Dimensions , 2008, 0801.1645.

[42]  V. M. Ghete,et al.  Search for heavy bottom-like quarks in 4.9 fb−1 of pp collisions at $ \sqrt {s} = 7 $ TeV , 2012 .

[43]  R. Rattazzi,et al.  Theoretical constraints on the Higgs effective couplings , 2009, 0907.5413.

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

[45]  Jing Shu,et al.  General composite Higgs models , 2012, 1205.0770.

[46]  V. M. Ghete,et al.  Search for heavy, top-like quark pair production in the dilepton final state in pp collisions at sqrt(s) = 7 TeV , 2012, 1203.5410.

[47]  D. Whiteson,et al.  Search for a heavy toplike quark in pp collisions at √s=1.96 TeV. , 2011, Physical review letters.

[48]  M. Chala,et al.  New Higgs production mechanism in composite Higgs models , 2012, 1205.2378.

[49]  A. Falkowski.  Pseudo-Goldstone Higgs production via gluon fusion , 2007, 0711.0828.

[50]  Bernd A. Kniehl,et al.  Low-energy theorems in Higgs physics , 1995 .

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

[52]  U. Baur,et al.  Determining the Higgs boson self-coupling at hadron colliders , 2003 .

[53]  S. D. Probert,et al.  A survey of the industrial potential for thermal energy storage systems , 1983 .

[54]  Michael Spira,et al.  Neutral Higgs-Boson Pair Production at Hadron Colliders: QCD Corrections , 1998 .

[55]  Jesse Thaler,et al.  Disentangling Dimension Six Operators through Di-Higgs Boson Production , 2007 .

[56]  F. Maltoni,et al.  MadGraph 5: going beyond , 2011, 1106.0522.

[57]  F. Hoogeveen.  The influence of a heavy fermion doublet on Higgs-boson production via the gluon fusion mechanism , 1985 .

[58]  Jose Santiago,et al.  Realistic Composite Higgs Models , 2009, 0901.2117.

[59]  Murayama,et al.  Multiple weak-boson production via gluon fusion. , 1990, Physical review. D, Particles and fields.

[60]  M. Mühlleitner,et al.  Composite Higgs boson pair production at the LHC , 2010, 1012.1562.

[61]  R. K. Shivpuri,et al.  Measurement of the W boson mass with the D0 detector. , 2012, Physical review letters.

[62]  T. Plehn,et al.  PAIR PRODUCTION OF NEUTRAL HIGGS PARTICLES IN GLUON-GLUON COLLISIONS , 1996 .

[63]  G. Altarelli,et al.  Vacuum polarization effects of new physics on electroweak processes , 1991 .

[64]  A. Denner,et al.  A Compact expression for the scalar one loop four point function , 1991 .

[65]  U. Baur,et al.  Examining the Higgs boson potential at lepton and hadron colliders: A comparative analysis , 2003, hep-ph/0304015.

[66]  J. Tseng,et al.  Multi-W Events at LHC from a Warped Extra Dimension with Custodial Symmetry , 2007, hep-ph/0701158.

[67]  Roberto Contino,et al.  Model-independent bounds on a light Higgs , 2012, 1202.3415.

[68]  Gerard 't Hooft,et al.  Scalar One Loop Integrals , 1979 .

[69]  Searches for $ \Lambda_b^0 $ and $ \Xi_b^0 $ decays to $ K_{\mathrm{S}}^0p{\pi^{-}} $ and $ K_{\mathrm{S}}^0p{K^{-}} $ final states with first observation of the $ \Lambda_b^0\to K_{\mathrm{S}}^0p{\pi^{-}} $ decay , 2014, 1402.0770.

[70]  Matthew J. Dolan,et al.  Higgs self-coupling measurements at the LHC , 2012, 1206.5001.

[71]  M. Mühlleitner,et al.  Composite Higgs search at the LHC , 2010, 1003.3251.

[72]  David J. Miller,et al.  Handbook of LHC Higgs Cross Sections: 3. Higgs Properties , 2013, 1307.1347.

[73]  Francesco Riva,et al.  The composite Higgs and light resonance connection , 2012, 1205.6434.

[74]  John Ellis,et al.  A Phenomenological Profile of the Higgs Boson , 1976 .

[75]  Li Lin Yang,et al.  Higgs boson pair production at the LHC in the $b \bar{b} W^+ W^-$ channel , 2012, 1209.1489.

[76]  M. Dorigo,et al.  Precise measurement of the W-boson mass with the CDF II detector. , 2012, Physical review letters.

[77]  A. Azatov,et al.  Light custodians and Higgs physics in composite models , 2011, 1110.5646.

[78]  A. Wulzer,et al.  Anomalous couplings in double Higgs production , 2012, 1205.5444.

[79]  R. Barbieri,et al.  Upper Bounds on Supersymmetric Particle Masses , 1988 .

[80]  C. Grojean,et al.  Probing top-Higgs non-standard interactions at the LHC , 2012, 1205.1065.

[81]  M. Perelstein,et al.  A fermionic top partner: naturalness and the LHC , 2012, 1205.0013.

[82]  G. Kribs,et al.  Variations of little Higgs models and their electroweak constraints , 2003, hep-ph/0303236.

[83]  Claudio O. Dib,et al.  Double Higgs production and quadratic divergence cancellation in little Higgs models with T parity , 2006 .

[84]  V. M. Ghete,et al.  Search for quark compositeness in dijet angular distributions from pp collisions at $ \sqrt {s} = 7{ } $ TeV , 2012 .

[85]  C. Grojean,et al.  Composite Higgs under LHC Experimental Scrutiny , 2012, 1202.1286.

[86]  U. Baur,et al.  Probing the Higgs self-coupling at hadron colliders using rare decays , 2003, hep-ph/0310056.

[87]  E. Furlan.  Gluon-fusion Higgs production at NNLO for a non-standard Higgs sector , 2011, 1106.4024.

[88]  Peter Uwer,et al.  HATHOR - HAdronic Top and Heavy quarks crOss section calculatoR , 2011, Comput. Phys. Commun..

[89]  V. M. Ghete,et al.  Search for a Vector-like Quark with Charge 2/3 in t + Z Events from pp Colli , 2011 .

[90]  R. Zwicky,et al.  The other Higgses, at resonance, in the Lee-Wick extension of the Standard Model , 2011, 1108.3765.

[91]  Ansgar Denner,et al.  Feyn Calc―computer-algebraic calculation of Feynman amplitudes , 1991 .

[92]  M. L. Ferrer,et al.  Search for pair-produced heavy quarks decaying to Wq in the two-lepton channel at root(s)=7 TeV with the ATLAS detector , 2012 .

[93]  G. Altarelli,et al.  Non standard analysis of electroweak precision data , 1993 .

[94]  A. Nelson,et al.  The Littlest Higgs , 2002, hep-ph/0206021.

[95]  R. Contino,et al.  Discovering the top partners at the LHC using same-sign dilepton final states , 2008, 0801.1679.

[96]  J. T. Childers,et al.  Search for Pair Production of a Heavy Up-Type Quark Decaying to a W Boson and a b Quark in the lepton+jets Channel with the ATLAS Detector , 2012 .

[97]  I. Low,et al.  Production of a composite Higgs boson , 2010, 1010.2753.

[98]  Roberto Contino,et al.  Tasi 2009 lectures: The Higgs as a Composite Nambu-Goldstone Boson , 2010, 1005.4269.

[99]  M. Gillioz,et al.  One light composite Higgs boson facing electroweak precision tests , 2008, 0806.3450.

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

[101]  A. Pomarol,et al.  Top Quark Compositeness: Feasibility and Implications , 2008, 0806.3247.

[102]  M. Spira.  HIGLU: A Program for the Calculation of the Total Higgs Production Cross Section at Hadron Colliders via Gluon Fusion including QCD Corrections , 1995 .