higgs sector of nmssm in the light of higgs discovery
TRANSCRIPT
Higgs sector of NMSSM in the light of HiggsDiscovery
Jacky KumarCollaboration :Monoranjan Guchait
Tata Institute of fundamental research
December 11, 2014
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 1 /34
Content:
• Higgs Discovery and NMSSM• 125.7 GeV Higgs in NMSSM
• LHC constraint and its impact on parameter space• Conclusion
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 2 /34
Motivation: Higgs Discovery and NMSSM
Higgs Discovery: LHC hasfound a Higgs like particle.
Mass : 125.7GeV
CMS : µ = 1.00± 0.13
=⇒ Consistent with Standardmodel but some discrepancy is still
allowed.
But SM suffers from Naturalnessproblem, need some mechanism tocancel the quadratic divergences,and possibility of the found Higgsas non-standard Higgs is not ruled
out .
Possible solution isSupersymmetry:
So one possibility is this can beMSSM Higgs.
But it is difficult to get 125.7GeV value in MSSM because:
In decoupling limit, upperbound on mh:
m2h = m2
Z cos2 2β + δ2t
δ2t comes from top squarks/ top
quark loops
At large tanβ it requiresδt ∼ 85 GeV
To achieve this value we need.......
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 3 /34
Motivation: Higgs Discovery and NMSSM
Heavy top squarks or largemixing in stop mass matrix:
But these give largecontributions to quadratic term
of Higgs potential δm2Hu
=
− 3y 2t
8π2
(m2
Q3+ m2
u3+ |A2
t |)
ln Λmt
If m2Hu
becomes too largeparameters of the theory has tobe tuned to get correct scale of
EWSB .
This motivated us to studynon-minimal models.
[L.Hall et al. 1112. 2703]
One such model isNext-to-Minimal-
supersymmetric-Standard-modelabbreviated as NMSSM:
It was originally introduced tosolve µ problem of MSSM.
But it has importance in thecontext of Higgs discovery,
because it also offers 125.7 GeVHiggs mass..
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 4 /34
Introduction to NMSSM
MSSM: two Higgs doublets
H1 =
[Ho
1
H−1
],H2 =
[H+
2
H02
]NMSSM: two Higgs doublets + one singlet
H1 =
[Ho
1
H−1
],H2 =
[H+
2
H02
], S
NMSSM: → solves µ problem→ easy to accommodate 125.7 GeV Higgs boson found at LHC
S → addition of CP even scalar→ addition of CP odd scalar→ addition of neutralino
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 5 /34
µ problem : Superpotential MSSM and NMSSM :MSSM:
WMSSM = µ.H1.H2 − hdH1.Q D − huQ.H2 U − heH1.L E
Expected µ(since dimensionful parameter) ∼ either zero or planck scaleCorrect phenomenology demand, µ ∼ EW sacle : that is known as µproblemNMSSM:
WMSSM = λH1.H2 S + 12κS
3 − hdH1.Q D − huQ.H2 U − heH1.L E
No dimensionful parameter and when S gets v.e.v,
µeff = λvs
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 6 /34
NMSSM scalar potential and Parameters dependence :
V = VF + VD + Vsoft ,
VF = |λS |2(|Hu|2 + |Hd |2) + |λHuHd + κS2|2
VD = 18 g
2(|Hd |2 − |Hu|2)2 + 12g
2|H†uHd |2
Vsoft = m2Hu|Hu|2 + m2
Hd|Hd |2 + m2
S |S |2 +[λAλSHuHd + 1
3κAκS3 + h.c
]3 scalars: h1, h2, h3, 2 pseudo scalars a1, a2, 2 charged H±
Couplings: λ, κ
Soft parameters: Aλ,Aκ
Related to v.e.v: tanβ, µeff
Radiative Corrections: m2Q ,m
2u,m
2d ,Au,Ad
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 7 /34
Upper bound on Higgs mass :
MSSM:
m2h = m2
z cos2 2β
+3m4
t
4π2v 2
[ln
(m2
T
m2t
)+
A2t
m2T
(1−
A2t
12m2T
)]Tree level bound 91 GeV ! Need
large radiative corrections toachieve 125.7 =⇒ either heavy
stops or large mixing
NMSSM:
m2h = m2
z cos2 2β + λ2v 2 sin2 2β
−λ2v 2
κ2(λ− κ sin 2β)2
+3m4
t
4π2v 2
[ln
(m2
T
m2t
)+
A2t
m2T
(1−
A2t
12m2T
)]Tree level bound 122 GeV ! Do
not have to rely on large radiativecorrections to achieve 125.7 =⇒
light stops allowed stops[U. Ellawanger et al. 0910.1785]
In our scan we found that even 200GeV stops can give desired Higgsmass. In this sense NMSSM is morenatural.
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 8 /34
Higgs Spectrum:
Approximate solutions (large tanβ and largeMA) :
m2h1/2
=1
2
(m2
Z +1
2κvs(4κvs +
√2Aκ)
)
±
√[m2
Z −1
2κvs(4κvs +
√2Ak)
]2+ cot2 vs
[2λ2v2
s −M2A sin2 2β
]2m2
h3= m2
a2= m2
A
(1 +
1
2cot2 βs sin2 2β
)m2
a1= − 3√
2κvsAκ
mh± = m2A + M2
W −1
2(λv)2
[Miller et al. hep-ph/0304049]
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 9 /34
λ, κ vs Higgs Mass :λ ∼ 0.25, κ ∼ 0.25, tan β ∼ 7,Aλ ∼ 550,Aκ ∼ −500, µ ∼ 122
At ∼ 3000,Ab ∼ 2000,mQ3= mu3
= md3= 1000
0
200
400
600
800
1000
0.08 0.1 0.12 0.14 0.16 0.18 0.2 0.22 0.24 0.26
Hig
gs M
ass(G
eV
)
λ
CP-evenCP-oddcharged
3GeV band
0
200
400
600
800
1000
0.2 0.3 0.4 0.5 0.6 0.7 0.8H
iggs M
ass(G
eV
)
κ
CP-evenCP-oddcharged
3GeV band
Note: at λ = 0.21, h2 becomes SM like and be-yond that mh1
falls down till it spoils the vacuumstability. This can explained from :
m2h1
+ m2h2
=
(m2
Z +1
2κvs (4κvs +
√2Aκ)
)Interesting: while h2 SM like Higgs,singlet like (hence can pass LEP con-straint) h1 can be very even few GeV!We keep this point in mind and look forthis kind of region - this we call our sce-nario Ia. Note: a1 is heavy here.
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 10 /34
Aλ, Aκ vs Higgs Mass :
0
100
200
300
400
500
-500 -400 -300 -200 -100 0
Hig
gs M
ass(G
eV
)
Aκ(GeV)
CP-evenCP-oddcharged
3GeV band
0
200
400
600
800
1000
0 200 400 600 800 1000 1200 1400
Hig
gs M
ass(G
eV
)
Aλ(GeV)
CP-evenCP-oddcharged
3GeV band
Note: Vaccum stability stricts Aκ from below andabove. From above ma1
becomes -ve. From be-low mh1
becomes -ve. mh1and ma1
are inverselycorrelated. This can explained from :
m2h1
+ m2h2
=(
m2Z + 1
2κvs (4κvs +√
2Aκ))
m2a1
= −3√
2κvs Aκ
Interesting: We can tune Aκ to getvery light singlet like a1 (both for ei-ther h1 SM like (scenario II) or h2 SMlike(scenario Ib)) or h1 light(for h2 SMlike scenario I a) a1 light for Aκ ∼−10GeV and h1 light for Aκ ∼ −450GeV
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 11 /34
125.7 GeV Higgs within NMSSM
• NMSSM can accommodate 125.7 Higgs, simultaneously satisfyingphenomenological constraints. Using NMSSMTools (U. Ellawanger etal.), considering all phenomenological constraints we identified the regionof parameter space where:
Ia) h2 is SM like , h1 is very light
Ib) h2 is SM like, a1 is very light
II) h1 is SM like , a1 very light.
• We ensured that the recent coupling measurements of scalar does notspoil our predictions.
Reduced couplings:
gNMSSMv = cvg
SMv , g
NMSSMu = cug
SMu
gNMSSMd = cdg
SMd , g
NMSSMg = cgg
SMg
gNMSSMγ = cγg
SMγ
Note: by SM like we mean that its couplings to fermions and bosons are same
(or close to) SM couplings and m = 125.7 GeVJacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector of
NMSSM in the light of Higgs Discovery slide 12 /34
LHC constraints
LHC Constraints:
Mass of h1 or h2 should lie within :
122.7 ≤ mSMh ≤ 128.7
Scenario Ia: NSM Channels : BR(h1− > h1h1) , BR(h1− > χ01χ
01)
Scenario Ib: NSM Channels : BR(h1− > a1a1) , BR(h1− > χ01χ
01)
Scenario II: NSM Channels : BR(h1− > a1a1) , BR(h1− > χ01χ
01)
Sum of all non-standard model BR’s has to satisfy:
BRNS ≤ .58
For h1 or h2 to be SM like, its couplings should be as:
cv = 0.64− 1.26cu = 0.97− 2.28cd = 0.0− 1.31
cg = 0.51− 1.09cγ = 0.66− 1.37
[CMS-PAS-HIG-14-009]Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector of
NMSSM in the light of Higgs Discovery slide 13 /34
LHC constraints : Non Standard Branching fractions in Scenario I
h2SML
Non-Standard BR’s Before LHC After LHC
BR(h2 → a1a1) 39.1 30.8
BR(h2 → χ01χ
01) 28.9 28.9
BR(h2 → h1h1) 30.5 30.5
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 14 /34
Impact of LHC constraint:Scenario I : h2 is SM like
Reduced couplings of h1
C h2u = S21
sin β
C h2d = S22
cos β
C h2v = sinβS21 + cosβS22 = ξ2
Standard Model limit:
Ideally C h2u = C h2
d = C h2v = 1
This limit has important consequences:S21 = sinβ, S22 = cosβ =⇒ ξ2 = 1
ξ2i = 1 =⇒ ξ1 = ξ3 = 0
i.e h1, h3 VBF channel is closed
Further∑ξ2
i .m2hi
= m2z (cos2 2β + λ2
g2 sin2 β) +rad . =⇒
m2h2
= m2z (cos2 2β + λ2
g2 sin2 β) + rad .
i.e Singlet Decouples. =⇒ h2 is purelydoublet like
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 15 /34
Scenario I, Singlet Decouples
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
122 123 124 125 126 127 128 129
Sin
gle
t C
om
po
nen
t of h
2
mh2(GeV)
Excon+g-2Excon+g-2+LHC
Excon+g-2+Planck+LHC
• Light h2 would be mainly doublet like and will act as a SM like Higgs.
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 16 /34
Scenario II, Doublet Component of h1 decouples: its consequences
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
0 20 40 60 80 100 120 140
Sin
glet
Com
pone
nt o
f h1
mh1(GeV)
Excon+g-2Excon+g-2+LHC
Excon+g-2+Planck+LHC
• Around 125.7 GeV h1 is mainly doublet like, which is ruled out byLHC constraint =⇒ 2 SM like degenerate CP even Higgses of mass125.7 GeV are disallowed, Note : Singlet like h1 of mass 125.7 GeVstill allowed but would be difficult to produce because..
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 17 /34
Scenario I : It decouples from VBF channel
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
0 20 40 60 80 100 120 140
ch 1v
v
mh1(GeV)
excon+g-2+g-2+LHC
excon+LHC+Planck
• h1 of 125.7 GeV decouples from VBF channel.
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 18 /34
Scenario I, h2 being SM like, mh1 vs ma1 , λ vs Aκ
0
20
40
60
80
100
120
140
0 50 100 150 200
mh
1(G
eV
)
ma1(GeV)
excon+g-2excon+g-2+LHC
excon+g-2+LHC+Planck 0.1
0.2
0.3
0.4
0.5
0.6
0.7
-600 -500 -400 -300 -200 -100 0 100 λ
Aκ
Legend
left h1 light right a1 lighth1 GM2+Pa1 GM2+Ph1 GM2+P+La1 GM2+P+L
• mh1 and ma1 are inversely correlated.• Aκ separates out region of parameter space for scenario Ia and Ib.
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 19 /34
Scenario I, h2 being SM like, mst1 vs At
0
200
400
600
800
1000
1200
1400
-4000 -3000 -2000 -1000 0 1000 2000 3000 4000
mst 1
(GeV
)
At(GeV)
Legend
+g-2+g-2+Planck
+LHC
• For light top squarkslarge mixing is not neces-sary to get the value of125.7 GeV.
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 20 /34
LHC constraints : Non Standard Branching fractions Scenario II
h1SML
Non-Standard BR’s Before LHC After LHC
BR(h1 → a1a1) 26.2 26.2
BR(h1 → χ01χ
01) 26.0 26.0
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 21 /34
Impact of LHC constraint:Scenario II : h1 is SM like
Reduced couplings of h1
C h1u = S11
sin β
C h1d = S12
cos β
C h1v = sinβS11 + cosβS12 = ξ1
Standard Model limit:
Ideally C h1u = C h1
d = C h1v = 1
This limit has important consequences:S11 = sinβ, S12 = cosβ =⇒ ξ1 = 1
ξ2i = 1 =⇒ ξ2 = ξ3 = 0
i.e h2, h3 VBF channel is closed
Further∑ξ2
i .m2hi
= m2z (cos2 2β + λ2
g2 sin2 β) +rad . =⇒
m2h1
= m2z (cos2 2β + λ2
g2 sin2 β) + rad .
=⇒ S13 = 0 i.e Singlet Decouples
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 22 /34
Scenario II:For C h2v vs mh2
Note:As expected mh2 of mass near125 GeV (i.e doublet like ) is tightlyconstrained LHC means only sin-glet like second lightest Higgs afterLHC? constraint.
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 23 /34
Scenario II:For h1 SM like, mh2 vs ma1 , mst1 vs At
• For light top squarks, largemixing is not necessary
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 24 /34
LHC phenomenology: In progress
For Scenario Ia, NMSSM predicts a singlet like CP even scalar : few GeV to129 GeV.
For Scenario Ib, NMSSM predicts a singlet like CP odd scalar : few GeV to 500GeV.
For Scenario II, NMSSM predicts a singlet like CP odd scalar : few GeV to 500GeV.
How to produce them ? This could be possibly produced in h2 → xxDifficult to produce directly since they are singlet like. Predominant decaymodes of x ≥ 10.5 GeV: x → bb x = h1 or a1.
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 25 /34
Conclusion
In context of Higgs Discovery NMSSM is more natural
model as compare to MSSM and solves the µ problem
of MSSM.
LHC constraints do not destroy the well known fact that in
NMSSM it is possible to have light stops without necessarily
having maximal mixing .
NMSSM predicts very light CP even as well as CP scalar,
so has quite interesting phenomenology for LHC.
2 degenerate SM like Higges are not allowed after putting
LHC constraints.
Thanks for your attention.Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector of
NMSSM in the light of Higgs Discovery slide 26 /34
Backup
Range of parameter scanned
Specific to Higgs sector
λ ∼ 0.1− 0.8
κ ∼ 0.1− 0.8
tanβ ∼ 1.5− 30
µ(GeV ) ∼ 100− 2000
Aλ(GeV ) ∼ 0− 1000
Aκ(GeV ) ∼ −600, 100
Fixed parameters(GeV)
AD3 = 2000,mD3 = 1000
AE1 = AE2 = 0, AE3 = 1000
mL1 = mL2 = 100,mL3 = 1000
mE1 = mE2 = 100,mE3 = 1000
mQ1 = mQ2 = mU1 = mU2
= mD1 = mD2 = 1000
M3 = 1200
Gaugino mass parameters (GeV)
M1 ∼ 50− 500
M2 ∼ 50− 500
Third generation (GeV)
At ∼-4000 ,4000
MQ3 ∼ 500 -3000
mU3 ∼ 500- 3000Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector of
NMSSM in the light of Higgs Discovery slide 27 /34
Good range of parameters
Parameter h1SML,ma1 ≤mh1
2h2SML,mh1 ≤
mh22
h2SML ,ma1 ≤mm2
2
λ 0.1 - 0.7 0.2-0.7 0.35-0.7
κ 0.1 - 0.65 0.1-0.24 0.1-0.18
tanβ 1.5-21 3-14 4-13
µ(GeV) 118 - 1993 150-398 150-231
Aλ(GeV) 0 - 1999 564-1961 858-1991
Aκ (GeV) -100 - (+11) -515 - (-146) -52-(+22)
Table: Range of parameters subject toall experimental constraints
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 28 /34
The Higgs Sector of NMSSM
Re[ H01 ,H
02 ,S ] gives 3× 3 CP even Higgs mass matrix ,
Diagnalization: hi = SijHrj =⇒ 3 CP even Higgses
Imm[ H01 ,H
02 ,S ] gives 3× 3 CP odd Higgs mass matrix ,
Roation : Ai = RβSIH I
j , Ai = [A,G ,S ]
Dropping the Goldston mode A′
i = [A,S ]
Diagnalization: ai = PijA′
j =⇒ 2 CP odd Higges
H+ = [H+2 ,H
+1 ] gives 2× 2 chagrged Higgs mass matrix
Diagnalization: H+i = Rβij H
+j , H+
i = [H+,G+]
Dropping the Goldston mode G+ =⇒ 2 Charged Higgses
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 29 /34
0
200
400
600
800
1000
2 4 6 8 10 12 14 16
Hig
gs M
ass(G
eV
)
tanβ
CP-evenCP-oddcharged
3GeV band
0
200
400
600
800
1000
1200
1400
100 200 300 400 500 600 700 800 900 1000H
iggs M
ass(G
eV
)
µ(GeV)
CP-evenCP-oddcharged
3GeV band
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 30 /34
Couplings and Non-Standard BRconstraints from LHC(New)
BRNS ≤ .58
cv = 0.64− 1.26cu = 0.97− 2.28cd = 0.0− 1.31
cg = 0.51− 1.09cγ = 0.66− 1.37
Theoretical constraints
• Positivity of m2h1,m2
a1,m2
h+ i.e vaccum
stability
• Problem in integration of RGEs
• Convergence problem
• λ, tan β or µ = 0
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 31 /34
Scenario I:For h1 SM like, Couplings of a1
• This explains why very light a1 haspassed LEP bound in our scans. Becausea1 is inert for fermions.
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 31 /34
LHC constraints : Scenario I
0.8
0.85
0.9
0.95
1
1.05
0.8 0.85 0.9 0.95 1 1.05
cuh
2
cvh2
Excon+g-2+PlanckExcon+g-2+Planck+LHC
0.5
0.6
0.7
0.8
0.9
1
1.1
1.2
0.8 0.85 0.9 0.95 1 1.05
cdh
2
cvh2
Excon+g-2+PlanckExcon+g-2+Planck+LHC
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 32 /34
LHC constraints : Scenario II
0.95
0.96
0.97
0.98
0.99
1
1.01
0.95 0.96 0.97 0.98 0.99 1 1.01
cuh
1
cvh1
Excon+g-2+PlanckExcon+g-2+Planck+LHC
0.9
0.95
1
1.05
1.1
0.95 0.96 0.97 0.98 0.99 1 1.01 1.02
cdh
1
cvh1
Excon+g-2+PlanckExcon+g-2+Planck+LHC
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 33 /34
LHC constraints : Scenario II
0.9
0.95
1
1.05
1.1
0.95 0.96 0.97 0.98 0.99 1 1.01 1.02
cdh
1
cvh1
Excon+g-2+PlanckExcon+g-2+Planck+LHC
Jacky Kumar , Collaboration :Monoranjan Guchait, Tata Institute of fundamental research Higgs sector ofNMSSM in the light of Higgs Discovery slide 34 /34