Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
Fermilab
- The SM Higgs
- What Happened to Naturalness?
- Measuring Higgs Parameters
- Beyond the Standard Model
- Summary
Higgs Physics: Theoretical Developments
1
Estia Eichten Fermilab
2013 TLEP Workshop
The Standard Model Higgs ? Fermilab Indirect measurements are all - - PowerPoint PPT Presentation
Higgs Physics: Theoretical Developments Fermilab Estia Eichten Fermilab The SM Higgs What Happened to Naturalness? Measuring Higgs Parameters Beyond the Standard Model Summary 2013 TLEP Workshop Fermilab July 25-26, 2013 1
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
1
2013 TLEP Workshop
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
–
All properties are determined for given mass.
–
Any deviations signal new physics.
–
Couplings and width SM?
–
Scalar self-coupling SM?
–
Any additional scalars? EW doublets, triplets
doublets)
–
Any invisible decay modes?
2 Theory errors (LHC Higgs Cross Section WG) [arXiv:1107.5909v2]
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
–
Indirect measurements are all consistent with a 126 GeV Higgs
–
For a 126 GeV Higgs the SM is consistent to the Planck scale; but the vacuum is only metastable above 1010 GeV.
3 Jean Elias-Miro et. al. [arXiv:1112.3022]
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
4
–
Spin and CP:
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
5
)
+/ L
×
10 20 30
Pseudoexperiments
0.02 0.04 0.06 0.08 0.1
CMS preliminary
= 8 TeV, L = 19.6 fb s
= 7 TeV, L = 5.1 fb s +
–
Branching Fractions:
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
6
SM
σ / σ Best fit
0.5 1 1.5 2 2.5
0.28 ± = 0.92 µ
ZZ → H
0.20 ± = 0.68 µ
WW → H
0.27 ± = 0.77 µ
γ γ → H
0.41 ± = 1.10 µ
τ τ → H
0.62 ± = 1.15 µ
bb → H
0.14 ± = 0.80 µ
Combined
19.6 fb ≤ = 8 TeV, L s
5.1 fb ≤ = 7 TeV, L s
CMS Preliminary
= 0.65
SM
p
= 125.7 GeV
H
m
nt
Updated!
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
the TeV scale.
insufficient CP violation for the observed baryon excess, gauge unification, gravity and strings)
The second argument remains strong. but is less strongly tied to the TeV scale.
–
Scales already probed at the LHC suggest that any new collider (of LHC level costs) should be able the probe the BSM physics in the multi-TeV range.
7
–
BSM (SUSY, Strong Dynamics, Extra Dimensions, New fermions or gauge bosons,...)
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
8
Mass scale [TeV]
10 1 10
2
10
Other Excit.
ferm.
New quarks LQ V' CI Extra dimensions
jjm Color octet scalar : dijet resonance,
µ em , µ )=1) : SS e µ e →
L ± ±(DY prod., BR(H
L ± ±H
llm ), µ µ ll)=1) : SS ee ( →
L ± ±(DY prod., BR(H
L ± ±H (LRSM, no mixing) : 2-lep + jets
RW
m lll), ν Techni-hadrons (LSTC) : WZ resonance (
µ µ ee/m Techni-hadrons (LSTC) : dilepton,
γ lm resonance, γ Excited lepton : l-
jjm Excited quarks : dijet resonance,
jet γm
γ Excited quarks :
llqm Vector-like quark : NC,
q ν lm Vector-like quark : CC, )
T2(dilepton, M A tt + A → Top partner : TT
Zbm Zb+X, → New quark b' : b'b' WtWt → )
5/3T
5/3generation : b'b'(T
th4 WbWb → generation : t't'
th4 jj ν τ jj, τ τ =1) : kin. vars. in β Scalar LQ pair ( jj ν µ jj, µ µ =1) : kin. vars. in β Scalar LQ pair ( jj ν =1) : kin. vars. in eejj, e β Scalar LQ pair (
µ T,e/m W* :
tbm tb, SSM) : → (
RW'
tqm =1) :
Rtq, g → W' (
µ T,e/m W' (SSM) :
τ τm Z' (SSM) :
µ µ ee/m Z' (SSM) :
,miss TE uutt CI : SS dilepton + jets +
llm , µ µ qqll CI : ee & )
jjm ( χ qqqq contact interaction : )
jjm (
χQuantum black hole : dijet, F
Tp Σ =3) : leptons + jets,
DM /
THM ADD BH (
N =3) : SS dimuon,
DM /
THM ADD BH (
tt,boostedm l+jets, → tt (BR=0.925) : tt →
KKRS g
ν l ν ,l Tm RS1 : WW resonance,
llll / lljjm RS1 : ZZ resonance,
/ ll γ γm RS1 : diphoton & dilepton,
llm ED : dilepton,
2/Z
1S
,miss TE UED : diphoton +
/ ll γ γm Large ED (ADD) : diphoton & dilepton,
,miss TE Large ED (ADD) : monophoton +
,miss TE Large ED (ADD) : monojet + Scalar resonance mass
1.86 TeV , 7 TeV [1210.1718]
mass
L ± ±H
375 GeV , 7 TeV [1210.5070]
) µ µ mass (limit at 398 GeV for
L ± ±H
409 GeV , 7 TeV [1210.5070]
(N) < 1.4 TeV) m mass (
RW
2.4 TeV , 7 TeV [1203.5420]
) = 2 TeV)
R(W m N mass (
1.5 TeV , 7 TeV [1203.5420]
))
Tρ ( m ) = 1.1
T(a m ,
Wm ) +
Tπ ( m ) =
Tρ ( m mass (
Tρ
483 GeV , 7 TeV [1204.1648]
)
W) = M
Tπ ( m ) -
Tω /
Tρ ( m mass (
Tω /
Tρ
850 GeV , 7 TeV [1209.2535]
= m(l*)) Λ l* mass (
2.2 TeV , 8 TeV [ATLAS-CONF-2012-146]
q* mass
3.84 TeV , 8 TeV [ATLAS-CONF-2012-148]
q* mass
2.46 TeV , 7 TeV [1112.3580]
)
Q/m ν =
qQκ VLQ mass (charge 2/3, coupling
1.08 TeV , 7 TeV [ATLAS-CONF-2012-137]
)
Q/m ν =
qQκ VLQ mass (charge -1/3, coupling
1.12 TeV , 7 TeV [ATLAS-CONF-2012-137]
) < 100 GeV) (A m T mass (
483 GeV , 7 TeV [1209.4186]
b' mass
400 GeV , 7 TeV [1204.1265]
) mass
5/3b' (T
670 GeV , 7 TeV [ATLAS-CONF-2012-130]
t' mass
656 GeV , 7 TeV [1210.5468]
3
538 GeV , 7 TeV [Preliminary]
2
685 GeV , 7 TeV [1203.3172]
1
660 GeV , 7 TeV [1112.4828]
W* mass
2.42 TeV , 7 TeV [1209.4446]
W' mass
1.13 TeV , 7 TeV [1205.1016]
W' mass
430 GeV , 7 TeV [1209.6593]
W' mass
2.55 TeV , 7 TeV [1209.4446]
Z' mass
1.4 TeV , 7 TeV [1210.6604]
Z' mass
2.49 TeV , 8 TeV [ATLAS-CONF-2012-129]
Λ
1.7 TeV , 7 TeV [1202.5520]
(constructive int.) Λ
13.9 TeV , 7 TeV [1211.1150]
Λ
7.8 TeV , 7 TeV [ATLAS-CONF-2012-038]
=6) δ (
DM
4.11 TeV , 7 TeV [1210.1718]
=6) δ (
DM
1.5 TeV , 7 TeV [1204.4646]
=6) δ (
DM
1.25 TeV , 7 TeV [1111.0080]
mass
KKg
1.9 TeV , 7 TeV [ATLAS-CONF-2012-136]
= 0.1)
PlM / k Graviton mass (
1.23 TeV , 7 TeV [1208.2880]
= 0.1)
PlM / k Graviton mass (
845 GeV , 7 TeV [1203.0718]
= 0.1)
PlM / k Graviton mass (
2.23 TeV , 7 TeV [1210.8389]
~ R
KKM
4.71 TeV , 7 TeV [1209.2535]
1.41 TeV , 7 TeV [ATLAS-CONF-2012-072]
=3, NLO) δ (HLZ
SM
4.18 TeV , 7 TeV [1211.1150]
=2) δ (
DM
1.93 TeV , 7 TeV [1209.4625]
=2) δ (
DM
4.37 TeV , 7 TeV [1210.4491]
Only a selection of the available mass limits on new states or phenomena shown *
= (1.0 - 13.0) fb Ldt
∫
= 7, 8 TeV s
ATLAS
Preliminary
ATLAS Exotics Searches* - 95% CL Lower Limits (Status: HCP 2012)
Mass scale [TeV]
10 1 10
RPV Long-lived particles EW direct 3rd gen. squarks direct production 3rd gen. gluino mediated Inclusive searches
,miss TE ) : 'monojet' + χ WIMP interaction (D5, Dirac Scalar gluon : 2-jet resonance pair
,miss TE bs : 2 SS-lep + (0-3b-)j's + → t ~ t, t ~ → g ~ qqq : 3-jet resonance pair → g ~
,miss TE + τ : 3 lep + 1
τν τ ,e
eν τ τ →
1χ ∼ , ...,
χ ∼
+ 1χ ∼
,miss TE : 4 lep +
eν µ ,e
µν ee →
1χ ∼ ,
1χ ∼ W →
+ 1χ ∼ ,
χ ∼
+ 1χ ∼
,miss TE Bilinear RPV CMSSM : 1 lep + 7 j's + resonance τ )+ µ e( →
τν ∼ +X,
τν ∼ → LFV : pp resonance µ e+ →
τν ∼ +X,
τν ∼ → LFV : pp + heavy displaced vertex µ (RPV) : µ qq →
1χ ∼ : non-pointing photons G ~ γ →
1χ ∼ GMSB, β : low τ ∼ GMSB, stable γ β , β , R-hadrons : low g ~ Stable
± 1χ ∼ pair prod. (AMSB) : long-lived
± 1χ ∼ Direct
,miss TE : 3 lep +
1χ ∼
)*
(Z
1χ ∼
)*
(W →
2χ ∼
± 1χ ∼
,miss TE ) : 3 lep + ν ν ∼ l(
Ll ~ ν ∼ ), l ν ν ∼ l(
Ll ~ ν
Ll ~ →
2χ ∼
± 1χ ∼
,miss TE + τ ) : 2 ν ∼ τ ( ν τ ∼ →
+ 1χ ∼ ,
χ ∼
+ 1χ ∼
,miss TE ) : 2 lep + ν ∼ (l ν l ~ →
+ 1χ ∼ ,
χ ∼
+ 1χ ∼
,miss TE : 2 lep +
1χ ∼ l → l ~ ,
Ll ~
Ll ~
,miss TE ll) + 1 lep + b-jet + → +Z : Z(
1t ~ →
2t ~ ,
2t ~
2t ~
,miss TE ll) + b-jet + → (natural GMSB) : Z( t ~ t ~
,miss TE : 0 lep + 6(2b-)jets +
1χ ∼ t → t ~ (heavy), t ~ t ~
,miss TE : 1 lep + b-jet +
1χ ∼ t → t ~ (heavy), t ~ t ~
,miss TE : 2 lep +
± 1χ ∼ b → t ~ (medium), t ~ t ~
,miss TE : 1 lep + b-jet +
± 1χ ∼ b → t ~ (medium), t ~ t ~
,miss TE : 1/2 lep (+ b-jet) +
± 1χ ∼ b → t ~ (light), t ~ t ~
,miss TE : 2 SS-lep + (0-3b-)j's +
± 1χ ∼ t →
1b ~ , b ~ b ~
,miss TE : 0 lep + 2-b-jets +
1χ ∼ b →
1b ~ , b ~ b ~
,miss TE : 0 lep + 3 b-j's +
1χ ∼ t t → g ~
,miss TE : 0 lep + multi-j's +
1χ ∼ t t → g ~
,miss TE : 2 SS-lep + (0-3b-)j's +
1χ ∼ t t → g ~
,miss TE : 0 lep + 3 b-j's +
1χ ∼ b b → g ~
,miss TE Gravitino LSP : 'monojet' +
,miss TE GGM (higgsino NLSP) : Z + jets +
,miss TE + b + γ GGM (higgsino-bino NLSP) :
,miss TE + lep + γ GGM (wino NLSP) :
,miss TE + γ γ GGM (bino NLSP) :
,miss TE + j's + τ NLSP) : 1-2 τ ∼ GMSB (
,miss TE NLSP) : 2 lep (OS) + j's + l ~ GMSB (
,miss TE ) : 1 lep + j's +
±χ ∼ q q → g ~ (
±χ ∼ Gluino med.
,miss TE Pheno model : 0 lep + j's +
,miss TE Pheno model : 0 lep + j's +
,miss TE MSUGRA/CMSSM : 1 lep + j's +
,miss TE MSUGRA/CMSSM : 0 lep + j's + M* scale
< 80 GeV, limit of < 687 GeV for D8) χ m ( 704 GeV , 8 TeV [ATLAS-CONF-2012-147]sgluon mass
(incl. limit from 1110.2693) 100-287 GeV , 7 TeV [1210.4826]mass g ~
)) t ~ ( m (any 880 GeV , 8 TeV [ATLAS-CONF-2013-007]mass g ~
666 GeV , 7 TeV [1210.4813]mass
+ 1χ ∼ ∼
> 0) 133 λ ) > 80 GeV, 1 χ ∼ ( m ( 350 GeV , 8 TeV [ATLAS-CONF-2013-036]mass
+ 1χ ∼ ∼
> 0) 121 λ ) > 300 GeV, 1 χ ∼ ( m ( 760 GeV , 8 TeV [ATLAS-CONF-2013-036]mass g ~ = q ~
< 1 mm) LSP τ (c 1.2 TeV , 7 TeV [ATLAS-CONF-2012-140]mass
τν ∼
=0.05) 1(2)33 λ =0.10, , 311 λ ( 1.10 TeV , 7 TeV [1212.1272]mass
τν ∼
=0.05) 132 λ =0.10, , 311 λ ( 1.61 TeV , 7 TeV [1212.1272]mass q ~
decoupled) g ~ < 1 m, τ (1 mm < c 700 GeV , 7 TeV [1210.7451]mass
1χ ∼
) < 2 ns) 1 χ ∼ ( τ (0.4 < 230 GeV , 7 TeV [ATLAS-CONF-2013-016]mass τ ∼
< 20) β (5 < tan 300 GeV , 7 TeV [1211.1597]mass g ~
985 GeV , 7 TeV [1211.1597]mass
± 1χ ∼
) < 10 ns) ± 1 χ ∼ ( τ (1 < 220 GeV , 7 TeV [1210.2852]mass
± 1χ ∼
) = 0, sleptons decoupled) 1 χ ∼ ( m ), 2 χ ∼ ( m ) = ± 1 χ ∼ ( m ( 315 GeV , 8 TeV [ATLAS-CONF-2013-035]mass
± 1χ ∼
) as above) ν ∼ , l ~ ( m ) = 0, 1 χ ∼ ( m ), 2 χ ∼ ( m ) = ± 1 χ ∼ ( m ( 600 GeV , 8 TeV [ATLAS-CONF-2013-035]mass
± 1χ ∼
))) 1 χ ∼ ( m ) + ± 1 χ ∼ ( m ( 2 1 ) = ν ∼ , τ ∼ ( m ) < 10 GeV, 1 χ ∼ ( m ( 180-330 GeV , 8 TeV [ATLAS-CONF-2013-028]mass
± 1χ ∼
))) 1 χ ∼ ( m ) + ± 1 χ ∼ ( m ( 2 1 ) = ν ∼ , l ~ ( m ) < 10 GeV, 1 χ ∼ ( m ( 110-340 GeV , 7 TeV [1208.2884]mass l ~
) = 0) 1 χ ∼ ( m ( 85-195 GeV , 7 TeV [1208.2884]mass
2t ~
) + 180 GeV) 1 χ ∼ ( m ) = 1 t ~ ( m ( 520 GeV , 8 TeV [ATLAS-CONF-2013-025]mass t ~
) > 150 GeV) 1 χ ∼ ( m ( 500 GeV , 8 TeV [ATLAS-CONF-2013-025]mass t ~
) = 0) 1 χ ∼ ( m ( 320-660 GeV , 8 TeV [ATLAS-CONF-2013-024]mass t ~
) = 0) 1 χ ∼ ( m ( 200-610 GeV , 8 TeV [ATLAS-CONF-2013-037]mass t ~
) = 10 GeV) ± 1 χ ∼ ( m )- t ~ ( m ) = 0 GeV, 1 χ ∼ ( m ( 160-440 GeV , 8 TeV [ATLAS-CONF-2012-167]mass t ~
) = 150 GeV) ± 1 χ ∼ ( m ) = 0 GeV, 1 χ ∼ ( m ( 160-410 GeV , 8 TeV [ATLAS-CONF-2013-037]mass t ~
) = 55 GeV) 1 χ ∼ ( m ( 167 GeV , 7 TeV [1208.4305, 1209.2102]mass b ~
)) 1 χ ∼ ( m ) = 2 ± 1 χ ∼ ( m ( 430 GeV , 8 TeV [ATLAS-CONF-2013-007]mass b ~
) < 120 GeV) 1 χ ∼ ( m ( 620 GeV , 8 TeV [ATLAS-CONF-2012-165]mass g ~
) < 200 GeV) 1 χ ∼ ( m ( 1.15 TeV , 8 TeV [ATLAS-CONF-2012-145]mass g ~
) < 300 GeV) 1 χ ∼ ( m ( 1.00 TeV , 8 TeV [ATLAS-CONF-2012-103]mass g ~
)) 1 χ ∼ ( m (any 900 GeV , 8 TeV [ATLAS-CONF-2013-007]mass g ~
) < 200 GeV) 1 χ ∼ ( m ( 1.24 TeV , 8 TeV [ATLAS-CONF-2012-145]scale
1/2F
eV)mass g ~
) > 200 GeV) H ~ ( m ( 690 GeV , 8 TeV [ATLAS-CONF-2012-152]mass g ~
) > 220 GeV) 1 χ ∼ ( m ( 900 GeV , 7 TeV [1211.1167]mass g ~
619 GeV , 7 TeV [ATLAS-CONF-2012-144]mass g ~
) > 50 GeV) 1 χ ∼ ( m ( 1.07 TeV , 7 TeV [1209.0753]mass g ~
> 18) β (tan 1.40 TeV , 8 TeV [1210.1314]mass g ~
< 15) β (tan 1.24 TeV , 7 TeV [1208.4688]mass g ~
)) g ~ ( m )+ χ ∼ ( m ( 2 1 ) = ± χ ∼ ( m ) < 200 GeV, 1 χ ∼ ( m ( 900 GeV , 7 TeV [1208.4688]mass q ~
) 1 χ ∼ ) < 2 TeV, light g ~ ( m ( 1.38 TeV , 8 TeV [ATLAS-CONF-2012-109]mass g ~
) 1 χ ∼ ) < 2 TeV, light q ~ ( m ( 1.18 TeV , 8 TeV [ATLAS-CONF-2012-109]mass g ~ = q ~
1.24 TeV , 8 TeV [ATLAS-CONF-2012-104]mass g ~ = q ~
1.50 TeV , 8 TeV [ATLAS-CONF-2012-109]Only a selection of the available mass limits on new states or phenomena shown. * theoretical signal cross section uncertainty. σ All limits quoted are observed minus 1
= (4.4 - 20.7) fb Ldt
∫
= 7, 8 TeV s
ATLAS
Preliminary 7 TeV, all 2011 data 8 TeV, partial 2012 data 8 TeV, all 2012 data
ATLAS SUSY Searches* - 95% CL Lower Limits (Status: March 26, 2013)
–
Scales already probed at the LHC suggest that to study BSM new physics the next energy frontier collider must have √ŝ in the multi-TeV range even for EW processes.
–
However there must be new physics !!! WHY? Let me list the reasons
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
9
q* (qg), dijet q* (qW) q* (qZ) q* , dijet pair q* , boosted Z e*, Λ = 2 TeV μ*, Λ = 2 TeV 1 2 3 4 5 6 Z’SSM (ee, µµ) Z’SSM (ττ) Z’ (tt hadronic) width=1.2% Z’ (dijet) Z’ (tt lep+jet) width=1.2% Z’SSM (ll) fbb=0.2 G (dijet) G (ttbar hadronic) G (jet+MET) k/M = 0.2 G (γγ) k/M = 0.1 G (Z(ll)Z(qq)) k/M = 0.1 W’ (lν) W’ (dijet) W’ (td) W’→ WZ(leptonic) WR’ (tb) WR, MNR=MWR/2 WKK μ = 10 TeV ρTC, πTC > 700 GeV String Resonances (qg) s8 Resonance (gg) E6 diquarks (qq) Axigluon/Coloron (qqbar) gluino, 3jet, RPV 1 2 3 4 5 6 gluino, Stopped Gluino stop, HSCP stop, Stopped Gluino stau, HSCP , GMSB hyper-K, hyper-ρ=1.2 TeV neutralino, cτ<50cm 1 2 3 4 5 6 Ms, γγ, HLZ, nED = 3 Ms, γγ, HLZ, nED = 6 Ms, ll, HLZ, nED = 3 Ms, ll, HLZ, nED = 6 MD, monojet, nED = 3 MD, monojet, nED = 6 MD, mono-γ, nED = 3 MD, mono-γ, nED = 6 MBH, rotating, MD=3TeV, nED = 2 MBH, non-rot, MD=3TeV, nED = 2 MBH, boil. remn., MD=3TeV, nED = 2 MBH, stable remn., MD=3TeV, nED = 2 MBH, Quantum BH, MD=3TeV, nED = 2 1 2 3 4 5
1
LQ1, β=0.5 LQ1, β=1.0 LQ2, β=0.5 LQ2, β=1.0 LQ3 (bν), Q=±1/3, β=0.0 LQ3 (bτ), Q=±2/3 or ±4/3, β=1.0 stop (bτ) 1 2 3 4 5 b’ → tW, (3l, 2l) + b-jet q’, b’/t’ degenerate, Vtb=1 b’ → tW, l+jets B’ → bZ (100%) T’ → tZ (100%) t’ → bW (100%), l+jets t’ → bW (100%), l+l 1 2 3 4 5 C.I. Λ , Χ analysis, Λ+ LL/RR C.I. Λ , Χ analysis, Λ- LL/RR C.I., µµ, destructve LLIM C.I., µµ, constructive LLIM C.I., single e (HnCM) C.I., single µ (HnCM) C.I., incl. jet, destructive C.I., incl. jet, constructive 5 10 15
Heavy Resonances 4th Generation Compositeness Long Lived LeptoQuarks Extra Dimensions & Black Holes Contact Interactions 95% CL EXCLUSION LIMITS (TEV)
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
dark matter; neutrino masses and mixing -> new fields or interactions;
–
baryon asymmetry in the universe -> more CP violation
–
gauge unification -> new interactions;
–
gravity: strings and extra dimensions
The SM Higgs boson is unnatural. (mH2/µ2)
–
Solutions: SUSY, New Strong Dynamics, ...
10
mH2/M2planck ≈ 10-34 Hierarchy problem vacuum stability large range of fermion masses
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
–
–
A theory [L(µ)] is natural at scale µ ⇔ for any small dimensionless parameter λ (e.q. m/µ) in L(µ) the limit λ -> 0 enhances the symmetries of L(µ)
–
Maybe no large gap in scales (Extra Dimensions)
–
scalars not elementary
–
fermion masses are natural
11
Recent Developments in Gauge Theories, Cargese, France (1980)
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
12
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
–
The standard model is natural?
Symmetries”, Myron Bander Symposium (6/2013)
–
At a classical level the SM is conformally invariant except for the quadratic term in the scalar potential. (Ignoring gravity)
–
Scale current: divergence:
–
Imagine the limit of the SM in which the scalar potential vanishes with v fixed.
–
In that theory the EW symmetry is broken and the W/Z and all the fermions get mass just like normal, BUT the Higgs boson remains massless.
–
If there is a dynamical symmetry breaking for a flat potential then the Higgs boson would be the Goldstone boson of scale symmetry breaking.
13
V (φ†φ) = µ2(φ†φ) + 1 2λ(φ†φ)(φ†φ)2
µ2 and λ → 0 with −2µ2 λ = v2 fixed
Tµν = Tr[GµρGρ
ν] − 1
4gµνTr[GρσGρσ] ∂µSµ = T µ
µ
= ∂µSµ = β(g) g Tr[GρσGρσ]
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
–
For SM the quartic coupling runs with scale:
–
Only the top Yukawa coupling is important: FD=FL = 0, FU ≣ y
–
Simplify by ignoring the gauge couplings (g1, g2) as well:
–
Adding the gauge couplings not enough to change the sign.
–
Need to add additional boson loops -> new coupled scalars
14
d ln µ = 1 16π2 ✓ 12λ2 − (9 5g2
1 + 9g2 2)λ + ( 27
100g4
1 + 9
10g2
1g2 2 + 9
4g4
2)
+ 12Tr[FU†FU + FD†FD + 1/3FL†FL]λ − 12Tr[(FU†FU)2 + (FD†FD)2 + 1/3(FL†FL)2] ⌘
< 0 ( ƛ~1/4 and y~1)
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
–
v = 173 GeV, ƛ = m2h/(2v2) ~1/4
–
The loop corrections: A = 6(m/v)4W + 3(m/v)4Z - 12 (m/v)4top +... only provide 13% of the required ƛ.
–
If want the whole mass come from loop corrections must add a large positive
15
dof
boson − (m
fermion
V (φ†φ) = 1 2λ(φ†φ)(φ†φ − v2)2
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
–
Must ignore quadratic divergences - related to preserving scale invariance?
Symmetries”, Myron Bander Symposium (6/2013)
–
Effective potential (m=0), define v = |ɸ|
16
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
–
Add new scalars S: A complex double under a hidden SU(2)X but a singlet under the SM.
–
The hidden sector provides dark matter candidates.
–
Scalar potential:
–
Running of ƛS :
17
βλS ≡ dλS d ln µ = 1 (4π)2 9g4
X
8 − 9g2
XλS + 2λ2 HS + 24λ2 S
102 104 106 108 1010 1012 1014 1016 1018 1020 10-3 10-2 10-1 1 RGE scale m in GeV Couplings g1 g2 g3 yt lH gX lHS lS
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
–
EWSB occurs dynamically.
–
Conditions needed are easily satisfied because no fermions in X sector. Exponential ratio of scales like Λqcd/ Λplanck.
–
Constraints on viable models:
[arXiv:1306.6855], W. Bardeen, C.T. Hill, EE (in progress), .... 18
HS < 0,
50 100 150 200 250 10-3 10-2 10-1 100 0.003 0.004 0.005 0.006 0.007 0.008 Mass in GeV of the extra Higgs Cross section in SM Higgs units lHS Bound from LEP ATLAS, CMS SM Higgs
100 1000 30 300 3000 10-47 10-46 10-45 10-44 10-43 DM mass in GeV sSI in cm2 Bound from Xenon 2012
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
–
partial decay widths into WW* and ZZ*:
–
mass, total width and self coupling λ:
–
Branching fractions into fermions:
–
Branching fractions into gauge bosons (ZƔ, gg, ƔƔ)
19
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
20
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
Handbook of LHC Higgs cross sections: 3. Higgs properties [arXiv:1307.1347] 21
Table 1: SM Higgs partial widths and their relative parametric (PU) and theoretical (THU) uncertaint selection of Higgs masses. For PU, all the single contributions are shown. For these four columns, the percentage value (with its sign) refers to the positive variation of the parameter, while the lower one refer negative variation of the parameter.
Channel MH [GeV] Γ [MeV] ∆αs ∆mb ∆mc ∆mt THU 122 2.30
−2.3% +2.3% +3.2% −3.2% +0.0% −0.0% +0.0% −0.0% +2.0% −2.0%
H → bb 126 2.36
−2.3% +2.3% +3.3% −3.2% +0.0% −0.0% +0.0% −0.0% +2.0% −2.0%
130 2.42
−2.4% +2.3% +3.2% −3.2% +0.0% −0.0% +0.0% −0.0% +2.0% −2.0%
122 2.51·10−1
+0.0% +0.0% +0.0% −0.0% +0.0% −0.0% +0.0% −0.1% +2.0% −2.0%
H → τ+τ− 126 2.59·10−1
+0.0% +0.0% +0.0% −0.0% +0.0% −0.0% +0.1% −0.1% +2.0% −2.0%
130 2.67·10−1
+0.0% +0.0% +0.0% −0.0% +0.0% −0.0% +0.1% −0.1% +2.0% −2.0%
122 8.71·10−4
+0.0% +0.0% +0.0% −0.0% +0.0% −0.0% +0.1% −0.1% +2.0% −2.0%
H → µ+µ− 126 8.99·10−4
+0.0% +0.0% +0.0% −0.0% −0.1% −0.0% +0.0% −0.1% +2.0% −2.0%
130 9.27·10−4
+0.1% +0.0% +0.0% −0.0% +0.0% −0.0% +0.1% −0.0% +2.0% −2.0%
122 1.16·10−1
−7.1% +7.0% −0.1% −0.1% +6.2% −6.0% +0.0% −0.1% +2.0% −2.0%
H → cc 126 1.19·10−1
−7.1% +7.0% −0.1% −0.1% +6.2% −6.1% +0.0% −0.1% +2.0% −2.0%
130 1.22·10−1
−7.1% +7.0% −0.1% −0.1% +6.3% −6.0% +0.1% −0.1% +2.0% −2.0%
122 3.25·10−1
+4.2% −4.1% −0.1% −0.1% +0.0% −0.0% −0.2% +0.2% +3.0% −3.0%
H → gg 126 3.57·10−1
+4.2% −4.1% −0.1% −0.1% +0.0% −0.0% −0.2% +0.2% +3.0% −3.0%
130 3.91·10−1
+4.2% −4.1% −0.1% −0.2% +0.0% −0.0% −0.2% +0.2% +3.0% −3.0%
122 8.37·10−3
+0.0% −0.0% +0.0% −0.0% +0.0% −0.0% +0.0% −0.0% +1.0% −1.0%
H → γγ 126 9.59·10−3
+0.0% −0.0% +0.0% −0.0% +0.0% −0.0% +0.0% −0.0% +1.0% −1.0%
130 1.10·10−2
+0.1% −0.0% +0.0% −0.0% +0.0% −0.0% +0.0% −0.0% +1.0% −1.0%
122 4.74·10−3
+0.0% −0.1% +0.0% −0.0% +0.0% −0.0% +0.0% −0.1% +5.0% −5.0%
H → Zγ 126 6.84·10−3
+0.0% −0.0% +0.0% −0.0% +0.0% −0.1% +0.0% −0.1% +5.0% −5.0%
130 9.55·10−3
+0.0% −0.0% +0.0% −0.0% +0.0% −0.0% +0.0% −0.0% +5.0% −5.0%
122 6.25·10−1
+0.0% −0.0% +0.0% −0.0% +0.0% −0.0% +0.0% −0.0% +0.5% −0.5%
H → WW 126 9.73·10−1
+0.0% −0.0% +0.0% −0.0% +0.0% −0.0% +0.0% −0.0% +0.5% −0.5%
130 1.49
+0.0% −0.0% +0.0% −0.0% +0.0% −0.0% +0.0% −0.0% +0.5% −0.5%
122 7.30·10−2
+0.0% −0.0% +0.0% −0.0% +0.0% −0.0% +0.0% −0.0% +0.5% −0.5%
H → ZZ 126 1.22·10−1
+0.0% −0.0% +0.0% −0.0% +0.0% −0.0% +0.0% −0.0% +0.5% −0.5%
130 1.95·10−1
+0.0% −0.0% +0.0% −0.0% +0.0% −0.0% +0.0% −0.0% +0.5% −0.5%
0.44% 0.8% 14% 0.5% 1.4% 2.8% 0.5% 0.44%
Theory needs improvement: (a) 𝛃s -> lattice (b) mb, mc -> lattice (c) THU -> pQCD
– Five scalar particles: h0, H0, A0, H± – Decay amplitudes depend on two parameters: (α, β) – decoupling limit mA0 >> mZ0 :
» h0 couplings close to SM values » H0, H± and A0 nearly degenerate in mass » H0 small couplings to VV, large couplings to ZA0 » For large tanβ, H0 and A0 couplings to charged leptons and
bottom quarks enhanced by tanβ. Couplings to top quarks suppressed by 1/tanβ factor.
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
tt ZZ, W +W − ZA0 h0 − sin α/ cos β cos α/ sin β sin(β − α) cos(β − α) H0 cos α/ cos β sin α/ sin β cos(β − α) − sin(β − α) A0 −iγ5 tan β −iγ5/ tan β 22
tan 2α = M2
A + M2 Z
M2
A − M2 Z
tan 2β.
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
. Even at √s = 14 TeV and 300 fb-1.
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– Can be produced in the s-channel. – Good energy resolution is needed for H0 and A0 studies:
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
24 Born + elmg. Born + elmg. + QCD Born MSSM µ+µ− → b¯ b √s [GeV] σ [pb]
403 402 401 400 399 398 2 1.5 1 0.5
∆ Dittmaier and Kaiser [hep-ph/0203120]
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
–
Present bounds: 300 GeV (tan β = 10); 600 GeV (tan β = 40)
–
LHC 14 TeV with 150 fb-1: 900 GeV (tan β = 10); 1.5 TeV (tan β = 40)
–
heavy H/A ->
–
few sparticles below 500 GeV
–
Some ILC Benchmark examples:
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1 2 3 4 5 6 0.01 1 100 104
s HTeVL Σ HfbL
NS Z h HS NUGM TDR4 ZêΓ
E.E and A. Martin [arXiv:1306.2609]
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
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–
Gluino and light squark masses limits ~ 1 TeV
–
Stop (3rd generation) ~ 600 GeV (except very near top mass)
–
The full study of SUSY will require a multiTev lepton collider or a VLHC.
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
severely constrained
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Studies for CSS 2013
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
28 [A. Atbey, et. al.: arXiV:1112.3028]
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
–
What will be the expected range after 300 fb-1 at 14 TeV at the LHC?
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How well can you extract detailed information about the SUSY model from any deviation in Higgs couplings? The inverse problem for Higgs decays 29
bb cc bb WW
Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
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All BSM scenarios adds new particles -- in particular new spin zero bosons.
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Expect deviations from SM properties of the 126 GeV Higgs boson.
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Any future Higgs factory must be viable in an era when HL-LHC results are
boson (and possibly new discoveries).
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TLEP has the largest Higgs Boson statistics and therefore the smallest errors
–
How much can theoretical uncertainties on the SM Higgs width and branching fractions be reduced?
–
How high a luminosity can TLEP deliver at 250 GeV and ~2mtop threshold?
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Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
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Estia Eichten TLEP 2013 @ Fermilab July 25, 2013
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