probing the scalar sector with zzh
DESCRIPTION
Probing the scalar sector with ZZH. Debajyoti Choudhury, Anindya Datta, Katri Huitu, hep-ph/0302141. outline: Introduction Models: higher representations radion (nonSUSY/SUSY) Conclusions. Introduction. Assume that EWSB due to Higgs mechanism - PowerPoint PPT PresentationTRANSCRIPT
April 3, 2003 LCWS Amsterdam, Katri Huitu 1
Probing the scalar sector with ZZH
outline:IntroductionModels:
higher representationsradion (nonSUSY/SUSY)
Conclusions
Debajyoti Choudhury, Anindya Datta, Katri Huitu,
hep-ph/0302141
April 3, 2003 LCWS Amsterdam, Katri Huitu 2
Introduction • Assume that EWSB due to Higgs mechanism• Light scalars not taking part in the EWSB can
mix with Higgs• In extensions of the Standard Model new scalars
and new representations- spontaneous CP violation, - supersymmetry, - left-right model, - gauge unification,...
• What can a detected set of scalars tell about the model?
• Related works: Burgess et al, IJMP A17(2002) 1841; Ellis et al, PLB 502 (2001) 171; Kane et al PRD 64 (2001) 095013; Ambrosanio et al NPB 624 (2002) 3.
April 3, 2003 LCWS Amsterdam, Katri Huitu 3
ZZH coupling
• gets contribution from any nonsinglet VEV
• ZZH coupling essential in production: or gauge boson fusion use to separate between models
02
322 )'( ii
iiZZH HvTZZggL
ZHZff
Lagrangian:
April 3, 2003 LCWS Amsterdam, Katri Huitu 4
E.g. SU(5) GUT The SM fermions in , 105 and
151055504551010455105 , ,
15455 , , contain neutral scalars
doublets
Y=1 tripletbreaking symmetry SU(5) for need 24
in minimal SU(5) problems with realistic spectrum need more representations
... ...,' ..., 35454570151524455
These contain singlets, triplets (Y=0,1), 4-plets (Y=3/2,1/2), 5-plets (Y=2,1,0)
April 3, 2003 LCWS Amsterdam, Katri Huitu 5
A strong constraint from the -parameter,
i ii
i iiiii
WZ
W
vT
vTTTr
m
m22
3
223
22
2
2
])1([
cos
experimentally 1. We demand = 1.
i ii
i ii
jj vT
vTcC
223
2432 4
4 max (T3i2 ) C 4 min (T3i
2 )
C 1 BSM Physics
Parametrize the ZZH coupling: ZZH
gmcL i
W
ZiZZH i
0
cos
April 3, 2003 LCWS Amsterdam, Katri Huitu 6
fermions of the SM couple to doubletsYt increases with decreasing v1/2:
,2/1v
vyy SMSM
ff
Yt RGE:
42123
2
8
9)
12
17
4
98(
ln2
tt
t
yy
d
dy
223
222 )'( ii iZ vTggm Z mass:
April 3, 2003 LCWS Amsterdam, Katri Huitu 7
Triplets Added
fine tuning
Triplets (3,0) and (3,1)
1 < C < 4
20
21
21
20
21
12
)02(21
)12(
YY
Y
YY
vv
v
vv
Georgi, Machachek,NPB 262 (1985) 463.
April 3, 2003 LCWS Amsterdam, Katri Huitu 8
Fiveplets added
(5,0) and (5,1) enhance (5,2) suppresses
(5,0) and (5,2):1 < C < 16
(5,0) and (5,1):1 < C < 12
April 3, 2003 LCWS Amsterdam, Katri Huitu 9
Higgs mixing with radions
5-dim universe, compactify on S1 / Z2
hidden visible
y=0 y=
22||22 dyrdxdxeds cykrc
massless fields: gravitong
rc modulus T(x)
T(x) has zero potential stabilize,
radion e-k(T-rc), m O(1 TeV)
Randall, Sundrum, PRL 83 (1999) 3370, 4690.
Goldberger, Wise, PRL 83 (1999)4922, PLB475 (2000)275.
April 3, 2003 LCWS Amsterdam, Katri Huitu 10
Curvature-Higgs mixing
/ ,
, 6
2
1 61
2
1 222
v vH
Hv
HmHmL H
Diagonalize
2223622
2122tan 612612
,sin6coscos6sin
sincos
mRZHm
HmRZRZ
RZRZM
and
,1''
HMRZH
Giudice, Rattazzi, Wells, NPB 595 (2001) 250;Csaki, Graesser, Kribs, PRD 63 (2001) 065002.
April 3, 2003 LCWS Amsterdam, Katri Huitu 11
positivity of kinetic terms: ,1/41
12
1/411
12
1 22
6.67.6 :TeV 10
59.075.0 :TeV 1
' ' 21111222
2
MMHMMVV
v
mL V
Couplings to physical scalars (V=general gauge boson):
2
2
22
21112
1222 611 RZ
MMMMC
April 3, 2003 LCWS Amsterdam, Katri Huitu 12
April 3, 2003 LCWS Amsterdam, Katri Huitu 13
unitarity bounds
Han,Kribs,McElrath,PRD 64 (2001)076003
constant C curves
April 3, 2003 LCWS Amsterdam, Katri Huitu 14
Supersymmetric RS model
We consider
J.A. Casas, J.R. Espinosa, I. Navarro, NPB 620 (2002) 195
Supplement MSSM with a radion T and
dilaton S in the bulk (susy breaking along FS):
To make contact with the superstring theory, the RS model may need to be supersymmetrized.
Extra dimensions may be connected with the supersymmetry breaking method:
Stabilization e.g. AMSB possible.Luty, Sundrum, PRD 62 (2000) 035008
April 3, 2003 LCWS Amsterdam, Katri Huitu 15
/ ;3 2
2†
tTTM
eP
TT
Lagrangianjiij DDGL
2
1
,2
ji
effij
KG
2
2 *exp ieff
eff
ttK
..|| 212 chHH
i iieff
The warp factor
ZZHvHvgv
LW
HZZ022
0112
2
2
2
cos44311
note: K is model dependent
April 3, 2003 LCWS Amsterdam, Katri Huitu 16
2Z
tZZ
mZtZL
22
21
2
2/1
2
2
,4
311cos2
vvvvgv
mW
Z
2
2
2
2
22
2
2
3111622
11
8
5
2
11
21
vvvC
Diagonalize H10,H2
0,t sum of the squares of scalar couplings (normalized to SM value):
Coupling to the singlet radion from the trace of stress-energy tensor:
April 3, 2003 LCWS Amsterdam, Katri Huitu 17
April 3, 2003 LCWS Amsterdam, Katri Huitu 18
Conclusions
• Sum of the ZZH couplings can be an efficient separator between models
• For scalars in higher representations of SU(2)L, the parameter and perturbativity of the top Yukawa-coupling constrain C
• In higher dimensions, the Higgs-curvature mixing may effect C strongly