The Standard Model and Strings

Total Page:16

File Type:pdf, Size:1020Kb

The Standard Model and Strings Future/present Experiments The Standard Model and Strings - Can They Be Connected? High energy colliders: the primary tool • 1 The standard model NMSSM – TEVThe AstandaTROrdN;mFoermildel ab, 1.96 TeV pp¯ , exploration nMSSM • • UMSSM 2 |N | in UMSSM – Large Hadron Collider (LHC); CERN, 14 TeV pp, high lum16 inosity, TesTtiesngtingthethestandastandard rmod modeldel 0.8 • • discovery (Discovery machine for ) supersymmetry, Rp violation, string 1 0 remnants (e.g., Z!, exotics, Higgs); o! r compositeness, dynamical symmetry ProblemProblems s • • breaking, Higgless theories, Little Higgs,0.6 large extra dimensions, ) · · · Bey– InternationalBeyondondthethestandastandaLirdnerdamor moColdedelliderl (ILC), in planning; • • + (Singlino in 0.4 2 500 GeV-1 TeV e e−, cold technol| ogy, high precision studies 15 Where(PreciNewaTsionreeVwpaephrametergoing?ysics suggess to maptedback to|N string scale) • • by string constructions 0.2 CP violation (B decays, electric dipole moments), CKM universality, • flavoWherer changingare we neutrgoing?al currents (e.g0., µ eγ, µN eN, B φK ), • 0 → 100 → 200 → 300s M 0 (GeV) B violation (proton decay, n n¯ oscillations), neutrin!o physics − 1 Chicago (12/1/2005) Paul Langacker (FNAL/Penn/IAS) Chicago (12/1/2005) Paul Langacker (FNAL/Penn/IAS) Chicago (12/1/2005) Paul Langacker (FNAL/Penn/IAS) Future/present Experiments The New Standard Model High energy colliders: the primary tool • Standard model, supplemented with neutrino mass (Dirac or • – TEVMajoATranROa)N;: Fermilab, 1.96 TeV pp¯ , exploration – Large HadronSUC(3)olliderSU(L(2)HCU);(1)CERNclas, 14sicalTeVrelatppivit, highy luminosity, discovery (Discovery× machine× for s×upersymmetry, Rp violation, string remnants (e.g., Z!, exotics, Higgs); or compositeness, dynamical symmetry breaking, Higgless theories, Little Higgs, large extra dimensions, ) · · · Mathematically consistent field theory of strong, weak, – •International Linear Collider (ILC), in planning; electromagnetic interactions+ 500 GeV-1 TeV e e−, cold technology, high precision studies (Precision parameters to map back to string scale) 16 Gauge interactions correct to first approximation to 10− cm • CP violation (B decays, electric dipole moments), CKM universality, • Complicated, free parameters, fine tunings must be new physics flavo• r changing neutral currents (e.g., µ eγ⇒, µN eN, B φK ), → → → s B violation (proton decay, n n¯ oscillations), neutrino physics − WIN 05 (June 11, 2005) Paul Langacker (Penn) Chicago (12/1/2005) Paul Langacker (FNAL/Penn/IAS) Future/pThe Fundamentalresent ExperFoirmentsces Strong Electromagnetic Weak Gravity Highp energyncolliders: the primary tool 6 6 • 0 π e− ν¯e e− p p – TEVATRON; Fermil6ab, 1.966 TeV pp¯6 , explo6 r ©ation 6 6 pion γ W − g p 6 6n – Large Hadron Collider ¨ (L¨ H¨C); CERN§ ¤,§14¤ § ¤TeV pp, high lum ¨ inosi¨ ¨ty, d u ¦ ¥ ¦ ¥ ¦ ¥ graviton 6 6 © © © 6 IVB © © © discoverG y (Discovery6photonmachine6 for supersymmetry, R violation,6 string6 n p (spin 2) § ¤ § ¤ § ¤ e− p remnant¦gluon¥ ¦ ¥ s¦ ¥(e.g., Z!, exotics, Higgs); or compositeness, dynamical symmetry d 6 6u breaking, Higgless theories, Little Higgs, large extra dimensions, ) · · · – International Linear Collider (ILC), in planning; m m 2 e mπr e2 2 e MW r 1 2 V = g − + g − GN r 500π GeV-1r TeVr e e−, cold technolrogy, high precision studies (Precisiong2 parameters toe2 map1back to gs2trEing2 scale) 11 38 strength: π 14 α = 10− GN m1m2 10− 4π 4π ∼ 137 M2 ∼ ∼ ∼ W (m1=m2=1 GeV) (E = 1 MeV) CP violation (B decays, electric dipole moments), CKM universality, • h¯ h¯ 16 rangeflavo: r changing neutral currents (e.g., µ e10γ,− µNcm eN, B φKs), mπc ∞ MW c ∞ 13 ∼ →∼ → → 10B− violcmation1 fm(proton decay, n n¯ oscillations), neutrino physics ≡ − Introductory slides Paul Langacker (Penn) Chicago (12/1/2005) Paul Langacker (FNAL/Penn/IAS) Future/present Experiments Unification of Forces HighStrongenergy collidersElectr: theomagnpretiimac ry toWeakol Gravity • hadrons: p, n; charged particles: p, n, π; e, µ, τ ;, all particles (always – TEVATRON;0 Fermilab, 1.96 TeV pp¯ , exploration pions: π±, π ; e−, µ−, τ −; neutrinos: attractive) ν , ν , ν – (QCDLarge: Hadronquarks,Collip; derπ± (LHC); CERNe , µ14 τTeV pp, high luminosity, gluons) discovery (Discovery machine for supersymmetry, Rp violation, string nuclearemnantr s binding;(e.g., Z!,atoms,exotics, Higgscrystal);s, ordecacompys:ositenen ss, dynamicweight;al sbindingymmetryof → enerbreakigyng,in stHarsiggless thmoleoecules;ries, Littllight;e Higgs,pela−rgeν¯e; extrelementa dimensisolons,ar system,) stars, chemical energy synthesis galaxies· · · – International Linear Collider (ILC), in planning; E + B ←+ → 500 GeV-1 TeV(Maxwe e−el,l) cold technology, high precision studies (Precision parameters toElmapectrobwaceakk to(SsUtr(2)ing scalU(1))e) QCD ← × → ← → Grand Unification (GUT)? CP violation← (B decays, electric dipole moments)→ , CKM universality, • Theory of Everything (superstring)? flavor changing← neutral currents (e.g., µ eγ, µN eN, B→ φK ), → → → s B violation (proton decay, n n¯ oscillations), neutrino physics − Introductory slides Paul Langacker (Penn) Chicago (12/1/2005) Paul Langacker (FNAL/Penn/IAS) Future/pGaugeresentTExpheorieseriments Gauge symmetry requires existence of (apparently) massless spin-1 • High(vectoenergyr, gauge)collidersbosons: the primary tool • – TEVInteractionsATRON; Fpermilrescribab,ed 1.96up TtoeVgroup,pp¯ , exploreprresentatation ions, gauge • coupling – Large Hadron Collider (LHC); CERN, 14 TeV pp, high luminosity, disAnalogouscovery (Discto oveQEDry (mUachine(1)), fobutr sgaugeupersymmetryself interactions, Rp violation,for non-string • remnantabelians (e.groupsg., Z!, exotics, Higgs); or compositeness, dynamical symmetry breaking, Higgless theories, Little Higgs, large extra dimensions, ) Standard model: SU(3) SU(2) U(1) · · · – •International Linear Colli×der (ILC),× in planning; Application to strong+ (short range) confinement •500 GeV-1 TeV e e−, cold technol⇒ogy, high precision studies (PreciAppsionlicatpaionrameterto wseakto map(shobacrtk range)to string scale)spontaneous symmetry • ⇒ breaking (Higgs or dynamical) CP violation (B decays, electric dipole moments), CKM universality, • flavoUniquer changingrenormneutralizablal ecurfieldrentstheo(e.ryg.fo, µr spin-1eγ, µN eN, B φK ), • → → → s B violation (proton decay, n n¯ oscillations), neutrino physics − Introductory slides Paul Langacker (Penn) Chicago (12/1/2005) Paul Langacker (FNAL/Penn/IAS) Future/pTheresentStandaExprderMoimentsdel Gauge group SU(3) SU(2) U(1); gauge couplings gs, g, g! High• energy colliders: the× prima×ry tool • u u u νe – TEVATRON; Fermild ab, 1.96d TeV pp¯ ,dexploratione− ! "L ! "L ! "L ! "L – Large Hadron Collider (LHC); CERN, 14 TeV pp, high luminosity, uR uR uR νeR(?) discovery (Discovery machine for supersymmetry, Rp violation, string dR dR dR e− remnants (e.g., Z!, exotics, Higgs); or compositeness,Rdynamical symmetry breaki( L ng,= Hleft-handed,iggless theories,R Li=ttright-handed)le Higgs, large extra dimensions, ) · · · – InternationalSU(3): u Liunear Colu, liderd (ILdC), din(glplanning;uons) • ↔ ↔+ ↔ ↔ 500 GeV-1 TeV e e−, cold technology, high precision studies 0 (PreciSUsion(2):paurameterds to, mapν backeto− s(trWing±)scal; phasese) (W ) • L ↔ L eL ↔ L CP Uvi(1)olation: phas(Bes deca(B)ys, electric dipole moments), CKM universality, • • flavor changing neutral currents (e.g., µ eγ, µN eN, B φKs), Heavy families (c, s, ν , µ ), (t, b, ν→, τ ) → → B violation (proton decay, nµ −n¯ oscillations)τ , neu− trino physics • − Introductory slides Paul Langacker (Penn) Chicago (12/1/2005) Paul Langacker (FNAL/Penn/IAS) Future/present Experiments Quantum Chromodynamics (Q9.CQuDant)um chromodynamics 17 required, for example, to facilitate the extraction of CKM elements from measurements Mode9rn. Qutaheontumrcoyfhcrhoofamrmoadthenydnbaomttostrongimcsdec7ay ratesi. ntSee eractiRef. 169 forona recsent review. High energy colliders: the primary tool • – TEVATRON;AverageFermilab, 1.96 TeV pp¯ , exploration Hadronic Jets – Large Hadron eC+eolli- ratesder (LHC); CERN, 14 TeV pp, high luminosity, Photo-production 0.3 discovery (Discovery machine for supersymmetry, Rp violation, string Fragmentation remnants (e.g., Z!, exotics, Higgs); or compositeness, dynamical symmetry Z width ) µ breaking, Higgless theories, Little Higgs,( large extra dimensions, ) ep event shapes 0.2s ! · · · – InternationalPolarized DIS Linear Collider (ILC), in planning; Deep Inelastic Scattering (DIS) + 500 GeV-1 TeV e e−, cold technology, high precision studies ! decays (Precision parameters to map back0.1to string scale) Spectroscopy (Lattice) " decay CP violation (B decays, electric dip0 ole moments), CKM universality, • 2 0.1 0.12 0.14 (e.1 g., µ eγ, 10µN eN, B10 φK ) flavor changing neutral currents µ GeV s , #s(MZ) → → → B violation (proton decay, n n¯ oscillations), neutrino physics − Figure 9.1: Summary of the value of αs(MZ) from various prFoicgeussrees.9T.2h:eSummaryvalues of the values of αs(µ) at the values of µ where they are shown indicate the process and the measured value of α extrampoelaastuerdedt.o Tµh=e Mlines. show the central values and the 1σ limits of our average. s Z ± The error shown is the total error including theoretical uncertaTinhteiefis.guTreheclaevaerrlyagsehows the decrease in αs(µ) with increasing µ. The data are, + quoted in thiChs reipcagoort wh(12/1/2005)ich comes from these measurements is ianlsoinschreoawsnin.gSoeredteerxotf µ, τ width, PΥ auldecaLangacys, deepkerinel(FNAL/Pastic scatteenn/IAS)ring, e e− event for discussion of
Recommended publications
  • Composite Higgs Sketch
    Composite Higgs Sketch Brando Bellazzinia; b, Csaba Cs´akic, Jay Hubiszd, Javi Serrac, John Terninge a Dipartimento di Fisica, Universit`adi Padova and INFN, Sezione di Padova, Via Marzolo 8, I-35131 Padova, Italy b SISSA, Via Bonomea 265, I-34136 Trieste, Italy c Department of Physics, LEPP, Cornell University, Ithaca, NY 14853 d Department of Physics, Syracuse University, Syracuse, NY 13244 e Department of Physics, University of California, Davis, CA 95616 [email protected], [email protected], [email protected], [email protected], [email protected] Abstract The couplings of a composite Higgs to the standard model fields can deviate substantially from the standard model values. In this case perturbative unitarity might break down before the scale of compositeness, Λ, is reached, which would suggest that additional composites should lie well below Λ. In this paper we account for the presence of an additional spin 1 custodial triplet ρ±;0. We examine the implications of requiring perturbative unitarity up to the scale Λ and find that one has to be close to saturating certain unitarity sum rules involving the Higgs and ρ couplings. Given these restrictions on the parameter space we investigate the main phenomenological consequences of the ρ's. We find that they can substantially enhance the h ! γγ rate at the LHC even with a reduced Higgs coupling to gauge bosons. The main existing LHC bounds arise from di-boson searches, especially in the experimentally clean channel ρ± ! W ±Z ! 3l + ν. We find that a large range of interesting parameter arXiv:1205.4032v4 [hep-ph] 30 Aug 2013 space with 700 GeV .
    [Show full text]
  • Little Higgs Model Limits from LHC Arxiv:1307.5010V2 [Hep-Ph] 5 Sep
    DESY 13-114 Little Higgs Model Limits from LHC Input for Snowmass 2013 Jurgen¨ Reuter1a, Marco Tonini2a, Maikel de Vries3a aDESY Theory Group, D{22603 Hamburg, Germany ABSTRACT The status of several prominent model implementations of the Little Higgs paradigm, the Littlest Higgs with and without discrete T-parity as well as the Simplest Little Higgs are reviewed. For this, we are taking into account a fit of 21 electroweak precision observables from LEP, SLC, Tevatron together with the full 25 fb−1 of Higgs data reported by ATLAS and CMS. For the Littlest Higgs with T-parity an outlook on corresponding direct searches at the 8 TeV LHC is included. We compare their competitiveness with the EW and Higgs data in terms of their exclusion potential. This contribution to the Snowmass procedure contains preliminary results of [1] and serves as a guideline for which regions in parameter space of Little Higgs models are still compatible for the upcoming LHC runs and future experiments at arXiv:1307.5010v2 [hep-ph] 5 Sep 2013 the energy frontier. For this purpose we propose two different benchmark scenarios for the Littlest Higgs with T-parity, one with heavy mirror quarks, one with light ones. [email protected] [email protected] [email protected] 1 Introduction: the Little Higgs Paradigm The first run of LHC at 2 TeV, 7 TeV, and 8 TeV centre of mass energies has brought as main results the discovery of a particle compatible with the properties of the Standard Model (SM) Higgs boson as well as with electroweak precision tests (EWPT), and no significant excesses that could be traced to new particles or forces.
    [Show full text]
  • Sangam@HRI March 25-30, 2013 Tao Han (PITT PACC) Pittsburgh
    Higgsology: ! Theory and Practice" Tao Han (PITT PACC) PITTsburgh Particle physics, Sangam@HRI Astrophysics and Cosmology Center March 25-30, 2013 1 Pheno 2013: May 6-8" 2 It is one of the most " exciting times:" 10000 - Selected diphoton sample Data 2011+2012 8000 Sig+Bkg Fit (m =126.8 GeV) H Bkg (4th order polynomial) 6000 ATLAS Preliminary Events / 2 GeV H"!! CMS Preliminary s = 7 TeV, L = 5.1 fb-1 ; s = 8 TeV, L = 19.6 fb-1 4000 35 s = 7 TeV, Ldt = 4.8 fb-1 Data 2000 # s = 8 TeV, #Ldt = 20.7 fb-1 30 Z+X * g 500 Z! ,ZZ 400 25 300 m =126 GeV 200 H Events / 3 GeV 100 0 20 -100 -200 100 110 120 130 140 15015 160 Events - Fitted bk m!! [GeV] 10 5 0 80 100 120 140 160 180 Tao Han 3 m4l [GeV] m = 125.5 GeV ATLAS Preliminary H W,Z H ! bb s = 7 TeV: %Ldt = 4.7 fb-1 s = 8 TeV: %Ldt = 13 fb-1 H ! $$ s = 7 TeV: %Ldt = 4.6 fb-1 s = 8 TeV: %Ldt = 13 fb-1 (*) H ! WW ! l#l# s = 7 TeV: %Ldt = 4.6 fb-1 s = 8 TeV: %Ldt = 20.7 fb-1 H ! "" s = 7 TeV: %Ldt = 4.8 fb-1 s = 8 TeV: %Ldt = 20.7 fb-1 (*) H ! ZZ ! 4l s = 7 TeV: %Ldt = 4.6 fb-1 s = 8 TeV: %Ldt = 20.7 fb-1 Combined ! = 1.30 " 0.20 s = 7 TeV: %Ldt = 4.6 - 4.8 fb-1 s = 8 TeV: %Ldt = 13 - 20.7 fb-1 -1 0 +1 Signal strength (!) 4 Fabiola Gianotti, ALTAS spokesperson Runner-up of 2012 Person of the year 9/30/13 This discovery opens up a new era in HEP! In these Lectures, I wish to convey to you: • This is truly an “LHC Revolution”, ever since the “November Revolution” in 1974 for the J/ψ discovery! • It strongly argues for new physics beyond the Standard Model (BSM).
    [Show full text]
  • Arxiv:Hep-Ph/0405257V2 9 Aug 2004 Little Higgses and Turtles
    Little Higgses and Turtles David E. Kaplan,a ∗ Martin Schmaltz,b † Witold Skibac ‡ a Department of Physics and Astronomy, Johns Hopkins University, 3400 N. Charles St., Baltimore, MD 21218-2686 b Department of Physics, Boston University, Boston, MA 02215 c Department of Physics, Yale University, New Haven, CT 06520 October 8, 2018 Abstract We present an ultra-violet extension of the “simplest little Higgs” model. The model marries the simplest little Higgs at low energies to two copies of the “littlest Higgs” at higher energies. The result is a weakly coupled theory below 100 TeV with a naturally arXiv:hep-ph/0405257v2 9 Aug 2004 light Higgs. The higher cutoff suppresses the contributions of strongly coupled dynamics to dangerous operators such as those which induce flavor changing neutral currents and CP violation. We briefly survey the distinctive phenomenology of the model. ∗[email protected][email protected][email protected] 1 Introduction The Standard Model (SM) is well supported by all high energy data. Pre- cision tests match predictions which include one-loop quantum corrections. These tests suggest that the SM is a valid description of Nature up to energies of several TeV with a Higgs mass which is less than about 200 GeV. On the other hand, the Standard Model is incomplete as quadratically divergent quantum corrections to the Higgs mass destabilize the electroweak scale. Naturalness of the SM with a light Higgs boson requires that the cutoff, and therefore new physics, can not be significantly higher than about 1 TeV. This implies an interesting conundrum: naturalness wants new physics at a scale close to one TeV, but the good fit of Standard Model predictions to the precision electroweak measurements severely constrains new physics up to several TeV.
    [Show full text]
  • Little Higgs Models
    Little Higgs Models Theory & Phenomenology Wolfgang Kilian (Karlsruhe) Karlsruhe January 2003 How to make a light Higgs (without SUSY) Minimal models: The Littlest Higgs and the Minimal Moose Phenomenology Scales and dynamics Electroweak symmetry breaking (beyond the SM): Dynamics responsible for the electroweak scale? & ' ! ( " #%$ )* , . GeV + - – New idea (and very old): geometrical origin = extra dimensions – Old idea: field-theoretical origin = renormalization-group running and field condensation Why would we like dynamical scale generation? – We see it at work (QCD): ¡ £ ¢ ¤ & 5 3 3 ! " " ( #%$ 0 )* , . + - 4 4 GeV / 2 /10 2 © ! ( " ) * , . + - without GUT: 7 6 8 9 : ¥ ¨ ¦ ; The proton mass is natural § ¨ ¨ ¨ ¨ § § § § W. Kilian, Karlsruhe 2003 Technicolor? Dynamical scale generation: Why not simply copy QCD? Susskind/Weinberg (1979) £ ¤¦¥ 3 ¢ New QCD’ (Technicolor), ¡ TeV § § £ ; © © Compositeness (of ¤¦¥ ¤¦§ ) ¨ ¨ ; Resonances in the TeV range This is elegant, but . EW precision data Flavor Physics suggest: ; TeV-scale physics is weakly interacting ; Strongly interacting physics (if any) " is beyond # TeV and/or decoupled 3 " # # ; There is a GeV scalar: The Higgs boson W. Kilian, Karlsruhe 2003 Supersymmetry? Possible solution: Indirect (dynamical) scale generation Supersymmetric Models: Field condensation in new (hidden) sector with SUSY £ ¥ ¨© ¤ ¦§ ¡¢ ¡ ; SUSY breaking ; Scale generation Scalars are present because of SUSY £ Scalar potential by radiative corrections ¡¢ ¡ Top sector triggers EWSB Little Higgs Models: Field condensation in new sector with global symmetry ¥ ¨ © ¤ ¦ § ¡ ; ; spontaneous symmetry breaking Scale generation Scalars are present because of Goldstone theorem Scalar potential by radiative correctons Top sector triggers EWSB W. Kilian, Karlsruhe 2003 Little Higgs Models Higgs = Pseudo-Goldstone boson: Georgi, Pais (1974); Georgi, Dimopoulos, Kaplan (1984); . 3 Problem: Without fine-tuning, ¢ : ; two-scale model (like technicolor) Three-scale models: Arkani-Hamed, Cohen, Georgi (2001); .
    [Show full text]
  • The Higgs Boson and Electroweak Symmetry Breaking
    The Higgs Boson and Electroweak Symmetry Breaking 2. Models of EWSB M. E. Peskin SLAC Summer Institute, 2004 In the previous lecture, I discussed the simplest model of EWSB, the Minimal Standard Model. This model turned out to be a little too simple. It could describe EWSB, but it cold not explain its physical origin. In this lecture, I would like to discuss three models that have been put forward to explain the physics of EWSB: • Technicolor • Supersymmetry • Little Higgs I hope this will give you an idea of the variety of possiblities for the next scale in elementary particle physics. Technicolor: ϕ was introduced by Higgs in analogy to the theory of superconductivity. There, Landau and Ginzburg had introduced ϕ as a phenomenological charged quantum fluid. Their equations account for the Meissner effect, quantized flux tubes, critical fields and Type I-Type II transitions, ... Bardeen, Cooper, and Schrieffer showed that pairs of electrons near the Fermi surface can form bound states that condense into the macroscopic wavefunction ϕ at low temperatures. This suggests that we should build the Higgs field as a composite of some strongly interacting fermions that form bound states. Weinberg, Susskind: QCD has strong interactions, and also fermion pair condensation. For 2 flavors i i i i L = qLγ · DqL + qRγ · DqR has the global symmetry SU(2)xSU(2)xU(1). If quarks have strong interactions, scalar combinations of q and q should condense into a macroscopic wavefunction in the vacuum state: j i = ∆ = 0 !qLqR" δij ! Act with global symmetries. We find a manifold of vacuum states j i = ∆ !qLqR" Vij In any given state, SU(2)xSU(2)xU(1) is spontaneously broken to SU(2)xU(1).
    [Show full text]
  • Beyond the Standard Model: Supersymmetry
    Beyond the Standard Model: supersymmetry I. Antoniadis1 and P. Tziveloglou2 CERN, Geneva, Switzerland Abstract In these lectures we cover the motivations, the problem of mass hierarchy, and the main proposals for physics beyond the Standard Model; supersymme- try, supersymmetry breaking, soft terms; Minimal Supersymmetric Standard Model; grand unification; and strings and extra dimensions. 1 Departure from the Standard Model 1.1 Why beyond the Standard Model? Almost all research in theoretical high energy physics of the last thirty years has been concentrated on the quest for the theory that will replace the Standard Model (SM) as the proper description of nature at the energies beyond the TeV scale. Thus it is important to know if this quest is justified or not, given that the SM is a very successful theory that has offered to us some of the most striking agreements between experimental data and theoretical predictions. We shall start by briefly examining the reasons for leaving behind such a successful SM. Actually there is a variety of such arguments, both theoretical and experimental, that lead to the undoubtable conclusion that the Standard Model should be only an effective theory of a more fundamental one. We briefly mention some of the most important arguments. Firstly, the Standard Model does not include gravity. It says absolutely nothing about one of the four fundamental forces of nature. Another is the popular ‘mass hierarchy’ problem. Within the SM, the mass of the higgs particle is extremely sensitive to any new physics at higher energies and its natural value is of order of the Planck mass, if the SM is valid up to that scale.
    [Show full text]
  • Little Higgs Models and Single Top Production at The
    Little Higgs models and single top production at the LHC Chong-Xing Yue, Li Zhou, Shuo Yang Department of Physics, Liaoning Normal University, Dalian 116029, China ∗ September 18, 2018 Abstract We investigate the corrections of the littlest Higgs(LH) model and the SU(3) simple group model to single top production at the CERN Large Hardon Col- ± lider(LHC). We find that the new gauge bosons WH predicted by the LH model can generate significant contributions to single top production via the s-channel process. The correction terms for the tree-level Wqq′ couplings coming from the SU(3) simple group model can give large contributions to the cross sections of the t-channel single top production process. We expect that the effects of the LH model and the SU(3) simple group model on single top production can be detected at the LHC experiments. arXiv:hep-ph/0604001v2 22 Jun 2006 ∗E-mail:[email protected] 1 1. Introduction The top quark, with a mass of the order of the electroweak scale m = 172.7 2.9GeV [1] t ± is the heaviest particle yet discovered and might be the first place in which the new physics effects could be appeared. The properties of the top quark could reveal information regarding flavor physics, electroweak symmetry breaking(EWSB) mechanism, as well as new physics beyond the standard model(SM)[2]. Hadron colliders, such as the Tevatron and the CERN Large Hadron Collider(LHC), can be seen as top quark factories. One of the primary goals for the Tevatron and the LHC is to determine the top quark properties and see whether any hint of non-SM effects may be visible.
    [Show full text]
  • Hep-Ph/0502182V1 19 Feb 2005 Iia Os,Adteltls Ig Scnrt Examples
    Little Higgs Review Martin Schmaltz a∗ and David Tucker-Smith b† February 18, 2005 a Physics Department, Boston University Boston, MA 02215, USA [email protected] b Department of Physics, Williams College Williamstown, MA 01267, USA [email protected] ABSTRACT Recently there has been renewed interest in the possibility that the Higgs particle of the Standard Model is a pseudo-Nambu-Goldstone boson. This development was spurred by the observation that if certain global symmetries are broken only by the interplay between two or more coupling constants, then the Higgs mass-squared is free from quadratic divergences at one loop. This “collective” symmetry breaking is the essential ingredient in little Higgs theories, which are weakly coupled extensions of the Standard Model with arXiv:hep-ph/0502182v1 19 Feb 2005 little or no fine tuning, describing physics up to an energy scale 10 TeV. Here we give a pedagogical introduction to little Higgs theories.∼ We review their structure and phenomenology, focusing mainly on the SU(3) theory, the Minimal Moose, and the Littlest Higgs as concrete examples. ∗Supported by DOE-OJI DE-FG02-91ER40676 and Alfred P. Sloan Research Fellowship. †Work supported by a Research Corporation Cottrell College Science Award. 1 Contents 1 INTRODUCTION 2 2 NAMBU-GOLDSTONE BOSONS 5 2.1 HowdoNGBstransform?...................... 8 2.2 EffectiveLagrangianforNGBs . 9 3 CONSTRUCTING A LITTLE HIGGS: SU(3) 9 3.1 Gaugeinteractions .. .. .. .. .. .. .. .. .. .. .. 10 3.2 Symmetry argument, collective breaking . 13 3.3 TopYukawacoupling. 14 3.4 OtherYukawacouplings . 17 3.5 Colorandhypercharge. 18 3.6 QuarticHiggscoupling. 18 3.7 ThesimplestlittleHiggs. 20 4 PRODUCT-GROUP MODELS 21 4.1 TheMinimalMoose ........................
    [Show full text]
  • Phenomenology Lecture 8
    Phenomenology Lecture 8: BSM Daniel Maître IPPP, Durham Phenomenology – Daniel Maître Why BSM? ● Despite the success of the Standard model, there are some puzzles left: – Why is the top so much heavier than the electron? – Why is Θ so small? – Is there enough CP violation? ● We need masses for the neutrinos ● What is dark matter? ● What is dark energy? ● What about gravity? Phenomenology – Daniel Maître BSM ● New models usually include more particles ● We can find them – Direct production: By directly producing them in the colliders if they are light enough and they interact (enough) with the standard model – Precision observables: By measuring their effect on precision observables through loop correction (where they can be off-shell if the energy is not sufficient to produce them) examples: g-2, EW precision measurements – Rare decays: If there is a new interaction, even a weak one, new processes become allowed that are not allowed in the standard model, or are highly suppressed. Examples: Proton decay, neutrino mixing, rare B and Kaon decays... Phenomenology – Daniel Maître BSM models ● There are a large number of BSM models ● This may be due to the fact that it is easier to “cook up” a model that it is to test it. ● Since there is no (direct) experimental evidence for BSM particles the game is to find models that are most undistinguishable from the SM. ● We can only cover a limited number of models and look at their experimental implications ● It is much better, when possible, to have model independent searches, so that they can be used for several models not just the one that is trendy at the moment of the measurement Phenomenology – Daniel Maître BSM models ● Here are some models – GUT theories – Technicolor – SUSY – Large extra dimensions – Small extra dimensions – Little Higgs Models – ..
    [Show full text]
  • The Little Higgs from a Simple Group
    View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by CERN Document Server The Little Higgs from a Simple Group a b D.E. Kaplan ∗ and M. Schmaltz † a Department of Physics and Astronomy, Johns Hopkins University, Baltimore, MD 21218 b Physics Department, Boston University, Boston, MA 02215 February 10, 2003 Abstract We present a model of electroweak symmetry breaking in which the Higgs boson is a pseudo-Nambu-Goldstone boson. By embedding the standard model's SU(2) U(1) into × an SU(4) U(1) gauge group, one-loop quadratic divergences to the Higgs mass from gauge and× top loops are canceled automatically with the minimal particle content. The potential contains a Higgs quartic coupling which does not introduce one-loop quadratic divergences. Our theory is weakly coupled at the electroweak scale, it has new weakly coupled particles at the TeV scale and a cutoff above 10 TeV, all without fine tuning. We discuss the spectrum of the model and estimate the constraints from electroweak precision measurements. ∗[email protected] [email protected] “He who hath clean hands and a good heart is okay in my book, but he who fools around with barnyard animals has got to be watched” - W. Allen “The littler the Higgs the bigger the group” -S.Glashow 1 Introduction The Standard Model (SM) is well supported by all high energy data [1]. Precision tests match predictions including one-loop quantum corrections. This suggest the SM is a valid description of Nature up to energies in the multi-TeV range with a Higgs mass which is less than about 200 GeV [2].
    [Show full text]
  • Arxiv:Hep-Ph/0405243V3 20 Sep 2004 Oldr Hc a Ii Uesmer.I a Losrea Serve Also Can It Supersymmetry
    Little Hierarchy, Little Higgses, and a Little Symmetry Hsin-Chia Cheng and Ian Low Jefferson Physical Laboratory, Harvard University, Cambridge, MA 02138 Abstract Little Higgs theories are an attempt to address the “little hierarchy problem,” i.e., the tension between the naturalness of the electroweak scale and the precision electroweak measurements show- ing no evidence for new physics up to 5 – 10 TeV. In little Higgs theories, the Higgs mass-squareds are protected at one-loop order from the quadratic divergences. This allows the cutoff of the theory to be raised up to 10 TeV, beyond the scales probed by the current precision data. However, ∼ strong constraints can still arise from the contributions of the new TeV scale particles which can- cel the one-loop quadratic divergences from the standard model fields, and hence re-introduces the fine-tuning problem. In this paper we show that a new symmetry, denoted as T -parity, under which all heavy gauge bosons and scalar triplets are odd, can remove all the tree-level contributions to the electroweak observables and therefore makes the little Higgs theories completely natural. The T -parity can be manifestly implemented in a majority of little Higgs models by following the most general construction of the low energy effective theory `ala Callan, Coleman, Wess and Zumino. In particular, we discuss in detail how to implement the T -parity in the littlest Higgs model based on SU(5)/SO(5). The symmetry breaking scale f can be even lower than 500 GeV if the contri- butions from the higher dimensional operators due to the unknown UV physics at the cutoff are somewhat small.
    [Show full text]