Collider signatures of gauge-higgs unification

Transcription

1 Collider signatures of gauge-higgs unification

2 Gauge-Higgs Unification in 5 dimensions 4-dim. components A µ extra-dim. component A y Hosotani 1983, 1989 Davies, McLachlan 1988, 1989 Hatanaka, Inami, Lim, 1998 e iˆθ H (x) P exp ig C ˆθ H (x) =θ H + H(x) f H dya y Y. Hosotani, Scalars 2011, 26 August 2011, - 2

3 SO(5) U(1) ds 2 = e 2k y dx µ dx µ + dy 2 0 y L = πr Agashe, Contino, Pomarol 2005 Hosotani, Sakamura 2006 Medina, Shah, Wagner 2007 Planck brane Λ = 6 k 2 SO(5) U(1) TeV brane Aµ A y Aµ A y Orbifold BC (x, y) = P 0 Aµ A y (x, πr y) = P 1 Aµ A y (x, y)p 0 (x, πr + y)p 1 Y. Hosotani, Scalars 2011, 26 August 2011, - 3

4 P 0 = P 1 = SO(5) SO(4) SU(2) L SU(2) R W Z γ A µ Higgs A y φ 1 φ 2 φ 3 φ 4 Y. Hosotani, Scalars 2011, 26 August 2011, - 4

5 YH, Oda, Ohnuma, Sakamura 2008 YH, Noda, Uekusa 2009 Planck brane SO(5) U(1) TeV brane ˆΦ (0, 1 2 ) ˆΦ = 0 ˆT R ˆB R ÛR ˆD R ˆX R ŶR ( 1 2, 0) ˆL 2XR ˆL 2YR ˆL 3XR ˆL 3YR ˆL 1XR ˆL 1YR TL B L t L b t L R 2 3 vector rep ν τ τ L L 1X L L 1Y τ L UL D L X L Y 1 b L R 1 3 ( 1 2, 1 ) (0, 0) 2 R L Ψ(x, y) =P 0 γ 5 Ψ(x, y) Ψ(x, πr y) =P 1 γ 5 Ψ(x, πr + y) L 2X L L 2Y L L 3X L L 3Y L ντ R 0 Y. Hosotani, Scalars 2011, 26 August 2011, - 5

6 Effective interactions at low energies ˆθ H = θ H + H f H f H = 2 kl m KK πg L eff V eff (ˆθ H ) m W (ˆθ H ) 2 W µ W µ 1 2 m Z(ˆθ H ) 2 Z µ Z µ m f (ˆθ H ) ψ f ψ f θ H θ H +2π Y. Hosotani, Scalars 2011, 26 August 2011, - 6

7 Effective interactions at low energies ˆθ H = θ H + H f H f H = 2 kl m KK πg L eff V eff (ˆθ H ) gf H sin ˆθ H W µ W µ cos 2 θ W Z µ Z µ y f f H sin ˆθ H ψ f ψ f WWH ZZH Yukawa = SM cos θ H Y. Hosotani, Scalars 2011, 26 August 2011, - 7

8 V eff (θ H )/m 4 KK U 2 gauge total θ /π H U total gauge θ /π H - 6 fermions z L = fermions z L = 15 θ H = π 2 m H = 135 GeV (z L = 15 ) 72 5 Y. Hosotani, Scalars 2011, 26 August 2011, - 8

9 SO(5) : SO(4) SU(2) L SU(2) R SO(5)/SO(4) { T α } = { T a L, T a R, T â, Tˆ4 } P H : SU(2) L SU(2) R T ˆ4 T ˆ4 Agashe, Contino, Da Rold, Pomarol 2006 T parameter Zb b Y. Hosotani, Scalars 2011, 26 August 2011, - 9

10 θ H = π 2 H : all other SM particles : + P H Y. Hosotani, Scalars 2011, 26 August 2011, -

11 Collider signatures θ H = 1 2 π ν, ν background Cheung, Song, , Alves, YH, Tanaka, Uekusa, Z (n), γ (n), t (n), Y. Hosotani, Scalars 2011, 26 August 2011, - 11

12 e + e Z,q q No. data SM z L : 15 z L : z L : 5 sin 2 θ W χ 2 (AF B) χ 2 (Z decay) z L 15 Y. Hosotani, Scalars 2011, 26 August 2011, - 12

13 1st KK modes mass z L : 15 z L : 5 m KK mass Σ d θ H/π Z (1) γ (1),g (1) u (1) Σ s θ H/π t (1) in GeV Y. Hosotani, Scalars 2011, 26 August 2011, - 13

14 KK Z (1) & γ (1) Z (1) 15 γ (1) 15 z L m Γ in GeV z L m Γ in GeV Y. Hosotani, Scalars 2011, 26 August 2011, - 14

15 Events / 5 GeV 4 DATA CMS s = 7 TeV Z/"*!µ + µ - tt + other prompt leptons jets # L dt = 40 pb + - Z' SSM (750 GeV)! µ µ Events / 5 GeV 4 DATA CMS s = 7 TeV Z/"*!e + e - tt + other prompt leptons jets (data) # L dt = 35 pb + - Z' SSM (750 GeV)! e e Z SSM : Γ M = M>1140 GeV Events m(µ + µ ) [GeV] m(ee) [GeV] Figure 2: Invariant mass spectrum of µ + µ (left) and ee (right) events. The points with error bars represent the data, and the filled histograms represent the expectations from SM processes: Z/γ,tt, tw, diboson production, Z ττ and the multi-jet backgrounds. The open histogram 4 ATLAS shows the signal expected for a ZSSM Data 20 4 ATLAS Z/!* with a mass of 750 GeV. 3 2 " L dt = 39 pb s = 7 TeV QCD Diboson W+Jets tt Z (750 GeV) Z (00 GeV) Z (1250 GeV) Events 3 2 " L dt = 42 pb s = 7 TeV Data 20 Z/!* Diboson tt W+Jets QCD Z (750 GeV) Z (00 GeV) Z (1250 GeV) 4 1 ) µ -2 + m(µ Events! CMS s = 7 TeV DATA Z/#*"µ + µ - tt + other prompt mleptons ee final selection, 2 compared to the stacked sum of all expected jets $ L dt = 40 pb [GeV] FIG. 1: Dielectron invariant mass (m e + e ) distribution after m(ee) Events! 4 3 final 2 selection, compared to the stacked sum of all expected 1-2 CMS s = 7 TeV DATA Z/#*"e + e - tt + other prompt leptons jets (data) $ L dt = 35 pb m µ µ [GeV] FIG. 2: Dimuon invariant mass (m µ + µ ) distribution after M>48 GeV Y. Hosotani, Scalars 2011, 26 August 2011, - 15

16 s =1.96 GeV p p Z e + e Z (1), γ (1) σ (pb/20gev)!"#!$# z L = 5 z L = z L = 5 z L = σ (pb/20gev)!%#!&# z L = 15 '( z L = 15 SM Z (1) z L m Γ m ee (GeV) in GeV m ee (GeV) z L 15 Y. Hosotani, Scalars 2011, 26 August 2011, - 16

17 q q Z (1), γ (1) e + e σ (pb/20gev)!"#!$# z L = 5 z L = z L = 5 z L = σ (pb/20gev) z L = 15!%#!&# z L = 15 SM '( Z (1) z L m Γ m ee (GeV) in GeV m ee (GeV) γ (1) z L > 15 Y. Hosotani, Scalars 2011, 26 August 2011, - 17

18 q R q L Z (1), γ (1) e + L e R sigma SM y y e e sigma GH KKZA15 z L = y y e e based on variance difference Y. Hosotani, Scalars 2011, 26 August 2011, - 18 central charge asymmetry

19 A FB, Z decay Z (1) z L > 15 Z (1) Γ/m 0.4 e + e Y. Hosotani, Scalars 2011, 26 August 2011, - 19