LHC Physics in a Data-Driven Era
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1 LHC Physics in a Data-Driven Era Universität Heidelberg Obergurgl, April 2016
2 Data-driven particle physics What is the our Lagrangian? post-discovery work we need to do start with renormalizable Standard Model Higgs quantum numbers? [all other particles known?] new physics effects? [Higgs sector] dark matter candidate? measurements in terms of Lagrangian
3 Data-driven particle physics What is the our Lagrangian? post-discovery work we need to do start with renormalizable Standard Model Higgs quantum numbers? [all other particles known?] new physics effects? [Higgs sector] dark matter candidate? measurements in terms of Lagrangian Ways to communicate results effective theory [lots of discussion on side] model-independent description of limits simplified models [Felix and Michael s talks] UV-agnostic classification of topologies full models link to fundamental concepts in UV
4 Data-driven particle physics What is the our Lagrangian? post-discovery work we need to do start with renormalizable Standard Model Higgs quantum numbers? [all other particles known?] new physics effects? [Higgs sector] dark matter candidate? measurements in terms of Lagrangian What does this tell us? effective theory is no fun theory [all theory talks] non-minimal Higgs sector? [Martin s talk] strongly interacting Higgs models? [Francesco s and Kiel s talks] TeV-scale new physics? [Mauricio s and Sezen s talks] link to dark matter? [Wednesday talks] hierarchy problem? [Brian s talk] gauge coupling unification [Sebastian s talk] vacuum stability? Higgs inflation?... where are the new ideas in particle theory?
5 The finger to particle theory taste not true taste wide X γγ impossible spin-0 actual model X aa 4γ NMSSM narrow m γγ spin-1 2 effective couplings vector quarks Furry not true spin-2 taste not true My take on all those papers [Veronica s talk] open questions due to limited significance general problem: signal rate large largely EFT exercise dimension-5 operators XG µν G µν and XA µν A µν avoid di-jet constraints gauge invariant XB µν B µν and XW µν W µν avoid VV constraints no clear link to other data great to play with, but only for fun, please
6 Higgs effective theory Navigate wide landscape of limits OR quantifying boredom set of Higgs-gauge operators [Hagiwara etal, Grzadkowski etal] O GG = Φ ΦG a µν Gaµν O WW = Φ Ŵ µν Ŵ µν Φ O BB = O BW = Φ ˆBµν Ŵ µν Φ O W = (D µφ) Ŵ µν (D νφ) O B = O Φ,1 = (D µφ) Φ Φ ( D µ Φ ) O Φ,2 = 1 ( ) ( ) 2 µ Φ Φ µ Φ Φ O Φ,3 = 1 3 ( Φ Φ) 3 O Φ,4 = (D µφ) ( D µ Φ ) ( ) Φ Φ
7 Higgs effective theory Navigate wide landscape of limits OR quantifying boredom set of Higgs-gauge operators [Hagiwara etal, Grzadkowski etal] O GG = Φ ΦG a µν Gaµν O WW = Φ Ŵ µν Ŵ µν Φ O BB = O BW = Φ ˆBµν Ŵ µν Φ O W = (D µφ) Ŵ µν (D νφ) O B = O Φ,1 = (D µφ) Φ Φ ( D µ Φ ) O Φ,2 = 1 ( ) ( ) 2 µ Φ Φ µ Φ Φ O Φ,3 = 1 3 ( Φ Φ) 3 O Φ,4 = (D µφ) ( D µ Φ ) ( ) Φ Φ relevant part after equation of motion, etc L HVV = αsv 8π f g Λ 2 O GG + f BB plus Yukawa structure f τ,b,t Λ O 2 BB + f WW Λ 2 O WW + f B Λ 2 O B + f W Λ 2 O W + f Φ,2 Λ 2 O Φ,2
8 Higgs effective theory Navigate wide landscape of limits OR quantifying boredom set of Higgs-gauge operators [Hagiwara etal, Grzadkowski etal] O GG = Φ ΦG a µν Gaµν O WW = Φ Ŵ µν Ŵ µν Φ O BB = O BW = Φ ˆBµν Ŵ µν Φ O W = (D µφ) Ŵ µν (D νφ) O B = O Φ,1 = (D µφ) Φ Φ ( D µ Φ ) O Φ,2 = 1 ( ) ( ) 2 µ Φ Φ µ Φ Φ O Φ,3 = 1 3 ( Φ Φ) 3 O Φ,4 = (D µφ) ( D µ Φ ) ( ) Φ Φ relevant part after equation of motion, etc L HVV = αsv 8π f g Λ 2 O GG + f BB plus Yukawa structure f τ,b,t Higgs couplings to SM particles Λ O 2 BB + f WW Λ 2 L HVV = g g HG a µν Gaµν + g γ HA µνa µν O WW + f B Λ 2 O B + f W Λ 2 O W + f Φ,2 Λ 2 O Φ,2 + g (1) Z Z µνz µ ν H + g (2) HZ Z µνz µν + g (3) HZ Z µz µ ( ) + g (1) W + W µν W µ ν H + h.c. + g (2) W HW + µν W µν + g (3) W HW + µ W µ +
9 Higgs effective theory Navigate wide landscape of limits OR quantifying boredom set of Higgs-gauge operators [Hagiwara etal, Grzadkowski etal] O GG = Φ ΦG a µν Gaµν O WW = Φ Ŵ µν Ŵ µν Φ O BB = O BW = Φ ˆBµν Ŵ µν Φ O W = (D µφ) Ŵ µν (D νφ) O B = O Φ,1 = (D µφ) Φ Φ ( D µ Φ ) O Φ,2 = 1 ( ) ( ) 2 µ Φ Φ µ Φ Φ O Φ,3 = 1 3 ( Φ Φ) 3 O Φ,4 = (D µφ) ( D µ Φ ) ( ) Φ Φ SFitter legacy [Butter, Corbett, Eboli, Goncalves, Gonzalez-Fraile, Gonzalez-Garcia, TP, Rauch] ew-renormalizable hypothesis kinematics: p T,V, Φ jj f B /Λ 2 40 [TeV -2 ] f W /Λ 2 [TeV -2 ]
10 Higgs effective theory Navigate wide landscape of limits OR quantifying boredom set of Higgs-gauge operators [Hagiwara etal, Grzadkowski etal] O GG = Φ ΦG a µν Gaµν O WW = Φ Ŵ µν Ŵ µν Φ O BB = O BW = Φ ˆBµν Ŵ µν Φ O W = (D µφ) Ŵ µν (D νφ) O B = O Φ,1 = (D µφ) Φ Φ ( D µ Φ ) O Φ,2 = 1 ( ) ( ) 2 µ Φ Φ µ Φ Φ O Φ,3 = 1 3 ( Φ Φ) 3 O Φ,4 = (D µφ) ( D µ Φ ) ( ) Φ Φ SFitter legacy [Butter, Corbett, Eboli, Goncalves, Gonzalez-Fraile, Gonzalez-Garcia, TP, Rauch] ew-renormalizable hypothesis kinematics: p T,V, Φ jj f B /Λ 2 40 [TeV -2 ] f W /Λ 2 [TeV -2 ]
11 Higgs effective theory Navigate wide landscape of limits OR quantifying boredom set of Higgs-gauge operators [Hagiwara etal, Grzadkowski etal] O GG = Φ ΦG a µν Gaµν O WW = Φ Ŵ µν Ŵ µν Φ O BB = O BW = Φ ˆBµν Ŵ µν Φ O W = (D µφ) Ŵ µν (D νφ) O B = O Φ,1 = (D µφ) Φ Φ ( D µ Φ ) O Φ,2 = 1 ( ) ( ) 2 µ Φ Φ µ Φ Φ O Φ,3 = 1 3 ( Φ Φ) 3 O Φ,4 = (D µφ) ( D µ Φ ) ( ) Φ Φ SFitter legacy [Butter, Corbett, Eboli, Goncalves, Gonzalez-Fraile, Gonzalez-Garcia, TP, Rauch] f B /Λ 2 40 [TeV -2 ] 20 ew-renormalizable hypothesis kinematics: p T,V, Φ jj dominant overflow bins f W /Λ 2 [TeV -2 ]
12 Higgs effective theory Navigate wide landscape of limits OR quantifying boredom set of Higgs-gauge operators [Hagiwara etal, Grzadkowski etal] O GG = Φ ΦG a µν Gaµν O WW = Φ Ŵ µν Ŵ µν Φ O BB = O BW = Φ ˆBµν Ŵ µν Φ O W = (D µφ) Ŵ µν (D νφ) O B = O Φ,1 = (D µφ) Φ Φ ( D µ Φ ) O Φ,2 = 1 ( ) ( ) 2 µ Φ Φ µ Φ Φ O Φ,3 = 1 3 ( Φ Φ) 3 O Φ,4 = (D µφ) ( D µ Φ ) ( ) Φ Φ SFitter legacy [Butter, Corbett, Eboli, Goncalves, Gonzalez-Fraile, Gonzalez-Garcia, TP, Rauch] ew-renormalizable hypothesis kinematics: p T,V, Φ jj dominant overflow bins solved by di-bosons ] -2 [TeV 2 f B Λ f W -2 [TeV ] 2 Λ
13 Higgs effective theory Navigate wide landscape of limits OR quantifying boredom set of Higgs-gauge operators [Hagiwara etal, Grzadkowski etal] O GG = Φ ΦG a µν Gaµν O WW = Φ Ŵ µν Ŵ µν Φ O BB = O BW = Φ ˆBµν Ŵ µν Φ O W = (D µφ) Ŵ µν (D νφ) O B = O Φ,1 = (D µφ) Φ Φ ( D µ Φ ) O Φ,2 = 1 ( ) ( ) 2 µ Φ Φ µ Φ Φ O Φ,3 = 1 3 ( Φ Φ) 3 O Φ,4 = (D µφ) ( D µ Φ ) ( ) Φ Φ SFitter legacy [Butter, Corbett, Eboli, Goncalves, Gonzalez-Fraile, Gonzalez-Garcia, TP, Rauch] ew-renormalizable hypothesis kinematics: p T,V, Φ jj dominant overflow bins solved by di-bosons (1) D6 fit works (2) D6 is not EFT (3) D6 needs Higgs+TGV f/λ 2 [TeV -2 ] (4) D6 reach 500 GeV LHC-Higgs, 95% CL LHC-Higgs + LHC-TGV + LEP-TGV, 95% CL Λ/ f [TeV] f/λ 2 [TeV -2 ] Λ/ f [TeV] O GG O WW O BB O W O B O φ2 O WWW O t O b O τ
14 ] Outlook Higgs effective theory Navigate wide landscape of limits OR quantifying boredom set of Higgs-gauge operators [Hagiwara etal, Grzadkowski etal] O GG = Φ ΦG a µν Gaµν O WW = Φ Ŵ µν Ŵ µν Φ O BB = O BW = Φ ˆBµν Ŵ µν Φ O W = (D µφ) Ŵ µν (D νφ) O B = O Φ,1 = (D µφ) Φ Φ ( D µ Φ ) O Φ,2 = 1 ( ) ( ) 2 µ Φ Φ µ Φ Φ O Φ,3 = 1 3 ( Φ Φ) 3 O Φ,4 = (D µφ) ( D µ Φ ) ( ) Φ Φ Triple gauge couplings [Butter, Eboli, Gonzalez-Fraile, Gonzalez-Garcia, TP] triple gauge vertices g 1, κ, λ vs operators testable in WW, WZ production [Christian s talk] semileptonic analyses missing for 8 TeV Run I LHC beating LEP -2 [TeV 2 f B Λ CMS ATLAS 7 WZ 7 semi 8 WW 8 WZ combined f W 2 Λ [TeV -2 ]
15 ] Outlook Higgs effective theory Navigate wide landscape of limits OR quantifying boredom set of Higgs-gauge operators [Hagiwara etal, Grzadkowski etal] O GG = Φ ΦG a µν Gaµν O WW = Φ Ŵ µν Ŵ µν Φ O BB = O BW = Φ ˆBµν Ŵ µν Φ O W = (D µφ) Ŵ µν (D νφ) O B = O Φ,1 = (D µφ) Φ Φ ( D µ Φ ) O Φ,2 = 1 ( ) ( ) 2 µ Φ Φ µ Φ Φ O Φ,3 = 1 3 ( Φ Φ) 3 O Φ,4 = (D µφ) ( D µ Φ ) ( ) Φ Φ Triple gauge couplings [Butter, Eboli, Gonzalez-Fraile, Gonzalez-Garcia, TP] triple gauge vertices g 1, κ, λ vs operators testable in WW, WZ production [Christian s talk] semileptonic analyses missing for 8 TeV Run I LHC beating LEP -2 [TeV 2 f B Λ LHC LHC+LEP 60 LEP f W 2 Λ [TeV -2 ]
16 Top effective theory Same for tops OR more boredom [TopFitter: Buckley, Englert, Ferrando, Miller, Moore, Russell, White] single, pair-wise, and associated top production [plus decays] including anomalous A FB from Tevatron 4-quark, Yang-Mills, electroweak operators O qq = qγ µq tγ µ t profile likelihoods and individual limits D6 reach 500 GeV [C = 1] O G = f ABC G Aν µ GBλ ν GCµ λ O φg = Φ ΦG a µν Gaµν CG C 33 ug individual marginalized C 1 u C 2 u C 1 d C 2 d C 33 uw Ct C 3 φq C 33 ub Cφu C 1 φq Ci = Civ 2 /Λ 2
17 Top effective theory Same for tops OR more boredom [TopFitter: Buckley, Englert, Ferrando, Miller, Moore, Russell, White] single, pair-wise, and associated top production [plus decays] including anomalous A FB from Tevatron 4-quark, Yang-Mills, electroweak operators O qq = qγ µq tγ µ t profile likelihoods and individual limits D6 reach 500 GeV [C = 1] O G = f ABC G Aν µ GBλ ν GCµ λ O φg = Φ ΦG a µν Gaµν CG C 33 ug individual marginalized For theorists: in terms of models axigluon: M A > 1.4 TeV [t t resonance] SM-like W : M W > 1.2 TeV [t-channel,...] models less sensitive to correlations C 1 u C 2 u C 1 d C 2 d C 33 uw Ct C 3 φq C 33 ub Cφu C 1 φq Ci = Civ 2 /Λ 2
18 Dark matter effective theory Combining direct, indirect, (collider) results Fermi: dwarf galaxies assume scalar dark matter assume single scale m χ m med mediating operators LabelCoefficient Operator σ SI σannv Real scalar R1 λ 1 1/(2M 2 ) mq χ 2 qq s-wave R2 λ 2 1/(2M 2 ) imq χ 2 qγ 5 q s-wave R3 λ 3 αs /(4M 2 )χ 2 Gµν G µν s-wave R4 λ 4 αs /(4M 2 )iχ 2 Gµν G µν s-wave Complex scalar C1 λ 1 1/(M 2 ) mq χ χ qq s-wave C2 λ 2 1/(M 2 ) imq χ χ qγ 5 q s-wave C3 λ 3 1/(M 2 ) χ µχ qγ µ q p-wave C4 λ 4 1/(M 2 ) χ µχ qγ µ γ 5 q p-wave C5 λ 5 αs /(8M 2 )χ χgµν G µν s-wave C6 λ 6 αs /(8M 2 )iχ χgµν G µν s-wave [Liem, Bertone, Calore, Ruiz de Austri, Tait, Trotta, Weniger]
19 Dark matter effective theory Combining direct, indirect, (collider) results Fermi: dwarf galaxies assume scalar dark matter assume single scale m χ m med mediating operators LabelCoefficient Operator σ SI σannv Real scalar R1 λ 1 1/(2M 2 ) mq χ 2 qq s-wave R2 λ 2 1/(2M 2 ) imq χ 2 qγ 5 q s-wave R3 λ 3 αs /(4M 2 )χ 2 Gµν G µν s-wave R4 λ 4 αs /(4M 2 )iχ 2 Gµν G µν s-wave Complex scalar C1 λ 1 1/(M 2 ) mq χ χ qq s-wave C2 λ 2 1/(M 2 ) imq χ χ qγ 5 q s-wave C3 λ 3 1/(M 2 ) χ µχ qγ µ q p-wave C4 λ 4 1/(M 2 ) χ µχ qγ µ γ 5 q p-wave C5 λ 5 αs /(8M 2 )χ χgµν G µν s-wave C6 λ 6 αs /(8M 2 )iχ χgµν G µν s-wave flat prior on log λ i [prior 1/λ i ] Dirichlet prior around log λ i [Liem, Bertone, Calore, Ruiz de Austri, Tait, Trotta, Weniger]
20 Dark matter effective theory Combining direct, indirect, (collider) results Fermi: dwarf galaxies assume scalar dark matter assume single scale m χ m med mediating operators LabelCoefficient Operator σ SI σannv Real scalar R1 λ 1 1/(2M 2 ) mq χ 2 qq s-wave R2 λ 2 1/(2M 2 ) imq χ 2 qγ 5 q s-wave R3 λ 3 αs /(4M 2 )χ 2 Gµν G µν s-wave R4 λ 4 αs /(4M 2 )iχ 2 Gµν G µν s-wave Complex scalar C1 λ 1 1/(M 2 ) mq χ χ qq s-wave C2 λ 2 1/(M 2 ) imq χ χ qγ 5 q s-wave C3 λ 3 1/(M 2 ) χ µχ qγ µ q p-wave C4 λ 4 1/(M 2 ) χ µχ qγ µ γ 5 q p-wave C5 λ 5 αs /(8M 2 )χ χgµν G µν s-wave C6 λ 6 αs /(8M 2 )iχ χgµν G µν s-wave flat prior on log λ i [prior 1/λ i ] Dirichlet prior around log λ i new physics from Fermi GCE [Krämer etal] with data, the method hardly matters... [Liem, Bertone, Calore, Ruiz de Austri, Tait, Trotta, Weniger]
21 Beyond effective theories Higgs/top effective theory at LHC [Biekötter, Brehmer, Freitas, TP, Lopez-Val] breakdown if observables disagree with full model [given measurement errors] large individual D8-operators not good test most critical vector gauge extensions no problem [E < M/g linked to convergence] σ [fb/bin] u d u d h (T5) 1 σ EFT - σ full σ full EFT error SM full (no ξ) EFT full p [GeV] T,j1
22 Beyond effective theories Higgs/top effective theory at LHC [Biekötter, Brehmer, Freitas, TP, Lopez-Val] breakdown if observables disagree with full model [given measurement errors] large individual D8-operators not good test most critical vector gauge extensions serious problem [E < M linked to pole] D6 in terms of g 2 /Λ 2 dying by poles σ [fb/bin] p p V h (T4) full 10 1 full (no ξ) EFT SM σ EFT - σ full σ full EFT error [GeV] m Vh
23 Beyond effective theories Higgs/top effective theory at LHC [Biekötter, Brehmer, Freitas, TP, Lopez-Val] breakdown if observables disagree with full model [given measurement errors] large individual D8-operators not good test most critical vector gauge extensions D6 in terms of g 2 /Λ 2 dying by poles DM effective theory at LHC: kinematics [Heisig, Krämer, Pellen, Wiebusch] extending DM effective theory to LHC [range of energy scales] Majorana dark matter in EFT vector mediator in simplified model [Felix talk] CMS mono-jet, gχgq =0.2, mχ =15GeV L g χ χγ µ γ 5 χv µ + g q qγ µ γ 5 qv µ comparison EFT vs simplified model in detail D6 desciption kind of okay?? [Manfred s talk] σ [pb] Γ V =0.01M V Γ V =0.5M V EFT EFT, Q-cut σlimit 10 4 σtheo MV [GeV]
24 Beyond the LHC Higgs factory [250 GeV, 10 ab 1 or 500 GeV, 500 fb 1, Jennie s talk] theoretically and experimentally clean Higgs couplings at per-cent level energy vs luminosity vs cost optimization, systematics/theory wall? politics-limited multi-tev e + e collider/clic [5 TeV, 2 ab 1 ] charged particle searches to 2.5 TeV perfect WIMP machine? momentum-limited [25 pages physics case in CDR???] 100 TeV hadron collider [20 ab 1 ] 4 tan β=10 precision Higgs physics: y t and λ HHH massless W, Z physics WIMP dark matter with m χ 2 TeV stops to 10 TeV, Z to 30 TeV scalar flavon to few TeV tests of baryogenesis funding-limited [BSM writeup with 150 pages] M2@TeVD M1@TeVD m@tevd 2σ Exclusions Direct Direct+Indirect Indirect Tracks Compr.+Direct Compr.
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