Third Alpine LHC Physics Summit CompositeComposite HiggsHiggs TheoryTheory
CMS LHC LHCb ALICE SPS ATLAS
20.4.2018 FlorianFlorian GoertzGoertz p MPIK Pb PS Physics Beyond the SM
SM does not explain everything! ● Gravity SM
● Hierarchy Problem: mh << MPL ● Tiny Neutrino Masses ● Grand Unification of Forces? ● Hierarchical Flavor Structure ● Baryogenesis → Existence of Universe ● Dark Matter SM ● Trigger for Symmetry-Breaking Potential? Mw ● Strong CP Problem ● Some Hints in Flavor/Precision Physics .....
ALPS 2018 2 F. Goertz Physics Beyond the SM
Use the Higgs Sector as a unique window to NP!
One of the biggest discoveries of mankind
CERN LHC
Many links to Higgs Sector
still least understood...
ALPS 2018 3 F. Goertz Physics Beyond the SM
Flavor Physics allows to test enormous mass scales ...
Neubert, EPS 2011
NP
suppressed in SM → large sensitivity to NP And to Flavor!!
ALPS 2018 4 F. Goertz
The Hierarchy Problem: Running mh Running Higgs Mass
Expect coefficient of unprotected D=2 operator H2 to reside at cutoff:
Barbieri Phys. Scr. 2013 014006
Jump at threshold of NP → large fine-tuning to achieve
ALPS 2018 5 F. Goertz Solving the Hierarchy Problem
Hierarchy Problem:
Main Classes of Solutions: cancellation
● Supersymmetry → Higgs = symmetry-partner of fermion
→ elegant protection of mass-term (cancellation of corrections)
● Compositeness ↔ Warped Extra Dimensions
→ h not fundamental (+Goldstone)
both address also several other issues
ALPS 2018 6 F. Goertz Composite Higgs Models
Kaplan, Georgi, Dimopoulos,. . . ● Higgs is composite at small distances
mH saturated in IR Hierarchy Problem solved
● Higgs = (pseudo) Goldstone Boson mH< Naturally address ● Hierarchical Flavor Structure 0906.3599 ● Dynamical EWSB ● Tiny Neutrino Masses ● Minimal models: SO(5)→SO(4) Contino, Nomura, Pomarol, ph/0306259 Agashe, Contino, Pomarol, ph/0412089 ● Dark Matter ● → 4 Goldstone dof (SO(5)/SO(4)), custodial symmetry Baryogenesis ... ALPS 2018 7 F. Goertz Composite Higgs: First Details ● Higgs = composite of a new strong interaction: confining force breaks global SO(5) symmetry spontaneously via condensation at scale ● Higgs: Goldstone of global → massless w/o explicit SO(5) breaking: V(H) =0 Goldstone decay const. Resonances Composite Higgs: First Details ● Higgs = composite of a new strong interaction: confining force breaks global SO(5) symmetry spontaneously via condensation at scale ● Higgs: Goldstone of global → massless w/o explicit SO(5) breaking: V(H) =0 + (crucial) Dmh cut off by compositeness scale (dimensional transmutation) Goldstone decay const. Resonances Composite Higgs: First Details ● Higgs = composite of a new strong interaction: confining force breaks global SO(5) symmetry spontaneously via condensation at scale ● Higgs: Goldstone of global → massless w/o explicit SO(5) breaking: V(H) =0 + (crucial) Dmh cut off by compositeness scale (dimensional transmutation) ● expl. → 1-loop potential The Analogy with QCD ● Massless 2-flavor QCD: ● Broken by condensate : (condensation of color force) ● Goldstone bosons: 3 pions pion decay constant The Analogy with QCD ● Massless 2-flavor QCD: ● Broken by condensate : (condensation of color force) ● Goldstone bosons: 3 pions ● breaks also gauged pion decay constant Up-Scaled Version: Technicolor TC Contino, 1005.4269 Composite Higgs ● Includes physical Higgs d.o.f. ● Allows to split → corrections to SM suppressed by (avoid problems of TC) Composite Higgs ● Includes physical Higgs d.o.f. ● Allows to split → corrections to SM suppressed by (avoid problems of TC) Global broken gener. Rotation of vacuum Goldstone-Higgs = angular variable Composite Higgs ● Includes physical Higgs d.o.f. ● Allows to split → corrections to SM suppressed by (avoid problems of TC) Global actually addtl. U(1)X needed for hypercharge Vacuum Misalignment See, e.g., Azatov, Galloway, 1212.1380, Panico, Wulzer, 1506.01961 EW breaking: Vacuum Misalignment See, e.g., Azatov, Galloway, 1212.1380, Panico, Wulzer, 1506.01961 Challenge: generate without excessive tuning [vacuum likes maximal breaking ] Composite Higgs Picture Higgs + fermionic & bosonic resonances of strong sector explicit CFTCFT breaking SMSM of SO(5) h=0 elementary composite Couplings to SM break SO(5) : Resonance Searches ● Search for vector resonances (W’,Z’), expect strongest coupling to heavy SM states (t,W,Z,h) Moriond ‘18 ALPS 2018 20 F. Goertz Resonance Searches depends however on couplings …! Moriond ‘18 ALPS 2018 21 F. Goertz Resonance Searches Predictions in explicit CH models Low, Tesi, Wang, 1507.07557 Niehoff, Stangl, Straub, 1508.00569 ALPS 2018 22 F. Goertz Higgs Couplings Gauge Boson Lagrangian from symmetries, large-N + momentum expansion Contino, 1005.4269 (Start with full SO(5) gauged) Higgs Couplings Gauge Boson Lagrangian from symmetries, large-N + momentum expansion Contino, 1005.4269 (Start with full SO(5) gauged) Expand + turn of spurious gauge fields → reduced Higgs couplings! Higgs Couplings depends on fermion embedding Fichet, Moreau, 1509.00472 Electroweak Precision Tests S Parameter ALPS 2018 26 F. Goertz Electroweak Precision Tests ● Tree Level (SO5/SO(4)) : ● 1-loop: modified Higgs - Gauge-Boson couplings ( ) Electroweak Precision Tests ● Tree Level (SO5/SO(4)) : ● 1-loop: modified Higgs - Gauge-Boson couplings ( ) Electroweak Precision Tests excluded (99% CL) mr Contino, 1005.4269 Thamm, Torre, Wulzer, 1502.01701 Ghosh, Salvarezza, Senia, 1511.08235 Fermion Sector: Partial Compositeness CFTCFT large mt → induce mq ALPS 2018 30 F. Goertz Fermion Sector: Partial Compositeness large mt → induce mq ALPS 2018 31 F. Goertz Partial Compositeness ● Addresses the flavor puzzle: compositecomposite → Hierarchies generated naturally ● FCNC protection via GIM-like mechanism (light q: flavor universal) Dual picture: Slice of AdS Extra Dimension 5 Froggatt-Nielsen- like mass matrices UV brane: elementary sector Higgs-Fermion Couplings depends on fermion embedding Rather model dependent: Representations of under SO(5) Fichet, Moreau, 1509.00472 Global Higgs Constraints Rather good agreement with SM! → limits on CH improving ALPS 2018 34 F. Goertz Global Higgs Constraints on CH Sanz, Setford, 1703.10190 Typical modification of yukawa couplings in various (non- minimal) CH models for different fermion embeddings Sanz, Setford, 1703.10190 ALPS 2018 35 F. Goertz Global Higgs Constraints on CH de Blas, Eberhardt, Krause, 1803.00939 ALPS 2018 36 F. Goertz Global Higgs Constraints on CH Post-Moriond update, talk of O. Eberhardt at HEFT2018 (17.4.) ALPS 2018 37 F. Goertz Global Higgs Constraints on CH See also Carena, Da Rold, Ponton, 1402.2987 Carmona, FG, 1301.5856 Barducci, Belyaev, Brown, De Curtis, Moretti, Pruna, ... 1302.2371 + Banerjee, Bhattacharyya, Kumar, Ray, 1712.07494, Azatov, Galloway, 1110.5646, ... ALPS 2018 38 F. Goertz Direct vs Indirect: Prospects ‘indirect limits’ → Higgs ‘direct’ limits Thamm, Torre, Wulzer, 1502.01701 ALPS 2018 39 F. Goertz Light Top Partners ● Most important SO(5) breaking: top quark ● Large top yukawa → large m h compositecomposite expl. SO(5) => light top partners: min m2/3 << fp ~ TeV ● Dynamical electroweak symmetry breaking ● Higgs potential ↔ Flavor ('partial compositeness') Matsedonskyi, Panico, Wulzer, 1204.6333; Contino, Da Rold, Pomarol, ph/0612048; Csaki, Falkowski, Weiler, 0804.1954; De Curtis, Redi, Tesi, 1110.1613; Pomarol, Riva, 1205.6434 Light Top Partners ● Most important SO(5) breaking: top quark ● Large top yukawa → large m h compositecomposite expl. SO(5) => light top partners: min m2/3 << fp ~ TeV ● Dynamical electroweak symmetry breaking ● Higgs potential ↔ Flavor ('partial compositeness') LHC Searches Light Top Partners ● Most important SO(5) breaking: top quark ● MCHM5 Large top yukawa → large mh LHC searches => light top partners: min m2/3 << fp ~ TeV D Carmona, FG, JHEP (1410.8555) BG LHC Searches potentially strongest constraints on CH Flavor Physics Potential Solution Flavor Anomalies ALPS 2018 43 F. Goertz Light Top Partners Interesting new class of solutions: ● New minimal models of the lepton sector, unifying RH leptons in single SO(5) rep. Type-III seesaw Carmona, FG, JHEP (1410.8555) ALPS 2018 F. Goertz44 Light Top Partners Interesting new class of solutions: ● New minimal models of the lepton sector, unifying RH leptons in single SO(5) rep. ● compositeness of seesaw fields compos. of charged leptons → VH Planck brane: TeV brane: elementary Composites (Higgs,...) ALPS 2018 F. Goertz45 Light Top Partners Interesting new class of solutions: ● New minimal models of the lepton sector, unifying RH leptons in single SO(5) rep. ● compositeness of seesaw fields compos. of charged leptons → VH top-partners lifted MCHM5 Carmona, FG, JHEP (1410.8555) LHC searches D BG Higgs potential ↔ neutrino physics (see saw) ALPS 2018 F. Goertz46 Interesting Predictions in Flavor Physics ● Very interesting predictions due to different compositeness of RH charged-leptons → Lepton-Flavor Universality violation Carmona, FG, PRL (1510.07658) Carmona, FG, 1610.05766 ● In particular noteworthy given the LHCb result ● Model predicts RK<1! <1 ● s 2 constraint from Bs-mixing ● Points in agreement with mm constraints from Bs-> and on 4e operators Higgs potential ↔ Flavor Physics ALPS 2018 F. Goertz47 Interesting Predictions in Flavor Physics ● Very interesting predictions due to different compositeness of RH charged-leptons → Lepton-Flavor Universality violation Carmona, FG, PRL (1510.07658) Carmona, FG, 1610.05766 ● NewNew LHCb result: Carmona, FG, 1712.02536 Higgs potential ↔ Flavor Physics ALPS 2018 F. Goertz48 Interesting Predictions in Flavor Physics ● Very interesting predictions due to different compositeness of RH charged-leptons → Lepton-Flavor Universality violation Carmona, FG, PRL (1510.07658) Carmona, FG, 1610.05766 ● NewNew LHCb result: Flavor as a first window on the composite Higgs… ? Carmona, FG, 1712.02536 Higgs potential ↔ Flavor Physics ALPS 2018 F. Goertz49 Conclusions Composite Higgs Models ● Currently under scrutiny from various directions ● Are ‘alive’ – with modest tuning ● Higgs data from LHC start to become competitive ● ● Flavor anomalies as first hint? → keep searching at all fronts (complementary): direct, Higgs, precision/flavor, ... ALPS 2018 F. Goertz50 BackupBackup ALPS 2018 F. Goertz51 Solving the Hierarchy Problem Hierarchy Problem: Protecting the Higgs Mass Term ● Shift Symmetry ● Supersymmetry (space-time): Boson ↔ Fermion → chiral symmetry ● Conformal Symmetry (scale invariance?) → only D=4 [broken at quantum level!] ● Dynamical Separation ● Low Cutoff , ... Higgs Couplings Gauge Boson Lagrangian from symmetries, large-N + momentum expansion (Start with full SO(5) gauged) Expand + turn of spurious gauge fields Direct vs Indirect: Prospects ‘indirect limits’ → Higgs ‘direct’ limits Thamm, Torre, Wulzer, 1502.01701 ALPS 2018 54 F. Goertz RK-RK* ALPS 2018 55 F. Goertz