Post on 03-Jan-2016
description
Rare decays in the MSSM with CP violation: applied results
QFTHEP’2004I. Smirnov, SSU (Samara)
The most probable Higgs decay modes are
)GeV10(bbh 31
)GeV10(h 41
)GeV10(ggh 41
)GeV10(ссh 41
)GeV10(h 51
)GeV10(ssh 51
)ggh(.1 1
,)M(PK)M(SK
v32
M)ggh(
b,tQ
2
hg1
gA
2
hg1
gH
23
2s
3h
1
11
1
.5N,N6
7
4
97)M(1K
,N6
7
4
95)M(1K
FF
2hsg
A
F
2hsg
H
1
1
[1] J.S.Lee, A.Pilaftsis et al. Comput. Phys. Commun. 156 (2004)
[2] M.Spira. DESY 95-073 (hep-ph/9504339)
- QCD corrections:
-Different contributions:
).(Fm
vgg)M(P
),(Fm4
vg)(F
m
vgg)M(S
f1pfft,bf
Pffhfh
g1
f~102
f~
2
t~,t~,b~,b
~f~ f
~f~
hf1sfft,bf
Sffhfh
g1
11
j
j2121j
j*j111
- contributions from SM particles
).(Fm
vggQN2
J)(Fm
vggQN2)M(P
),(FM2
vg)(Fg
)(Fm2
vgQJ)(F
m2
vgQN
)(Fm
vggQN2
J)(Fm
vggQN2)M(S
f1pff~,~f
Pffhf
2fC
qf1pfft,bf
Pffhf
2fCh1
H102
H
2
HHhVV11VVh
f~102
f~
2
~,~f~ f
~f~
h
2fq~f
~102
f~
2
t~,t~,b~,b
~f~ f
~f~
h
2fC
f1sff~,~f
Sffhf
2fC
qf1sfft,bf
Sffhf
2fCh1
21
1
11
11
j
j21j
j*j1j
j2121j
j*j1
21
1
11
)h(.2 1
,)M(P)M(Sv256
M)h(
b,tQ
2
h1
2
h123
23h
1 11
1
.3
)M(81J
,)M(
1J
2hs
q~
2hs
q
1
1
- QCD corrections:
-Different contributions:
- contributions from SM particles
)ffh(.3 1
)leptons(quarksfor)1(3N
,M2
Mgg,
M
Mk,k41
,,,e,s,d,bf,a)(tg)cos(
1)a)sin(a)(cos(
,c,uf,a)(ctg)sin(
1)a)cos(a)(sin(
8
MgN)ffh(
C
W
f2f2
h
2f
k
231
22
21121
231
22
21121
2/3kh
2fC
1
1
1
CPX scenario
.TeV1A,TeV2
,TeV5.0M
MMMMMM
},b,t{
SUSY
33E3L3D3U3Q
Varying parameters
}A{H,M),tan(
This parameters for the Table on the next slide are chosen as:
.6,0k,6/k,GeV300M,5)tan(H
arg(mu*A)
GeV
0 Pi / 6 Pi / 3 Pi / 2 2 Pi/3 5 Pi/6 Pi
SM:(gg)*10^4 1.378 1.529 1.907 2.220 2.101 1.707 1.516
(gg)*10^4 2.128 2.373 2.991 3.496 3.266 2.593 2.277
(gg)*10^4 [1] 1.949 2.032 2.149 1.954 1.290 0.638 0.420
SM:(ph ph)*10^5 0.770 0.859 1.098 1.331 1.295 1.065 0.951
(ph ph)*10^5 0.747 0.837 1.083 1.332 1.295 1.027 0.889
(ph ph)*10^5 [1] 0.592 0.642 0.768 0.873 0.828 0.664 0.576
(e e)*10^10 0.469 0.449 0.394 0.365 0.481 0.672 0.672
(e e)*10^10 [1] 0.345 0.335 0.310 0.329 0.385 0.529 0.592
(mu mu)*10^5 0.212 0.204 0.179 0.166 0.218 0.304 0.341
(mu mu)*10^5 [1] 0.157 0.152 0.141 0.137 0.175 0.240 0.269
(tau tau)*10^3 0.591 0.567 0.498 0.461 0.607 0.848 0.950
(tau tau)*10^3 [1] 0.435 0.423 0.391 0.382 0.485 0.668 0.746
(u u)*10^8 0.194 0.201 0.217 0.228 0.223 0.205 0.194
(u u)*10^8 [1] 0.237 0.242 0.263 0.260 0.251 0.225 0.208
(d d)*10^7 0.202 0.194 0.170 0.158 0.208 0.290 0.325
(d d)*10^7 [1] 0.193 0.187 0.171 0.167 0.212 0.297 0.335
(s s)*10^5 0.744 0.713 0.626 0.580 0.764 1.066 1.195
(s s)*10^5 [1] 0.709 0.687 0.629 0.612 0.780 1.089 1.230
(c c)*10^3 0.083 0.086 0.093 0.097 0.095 0.088 0.083
(c c)*10^3 [1] 0.101 0.103 0.108 0.111 0.107 0.096 0.089
(b b)*10^2 0.504 0.483 0.424 0.393 0.518 0.724 0.810
(b b)*10^2 [1] 0.481 0.469 0.426 0.414 0.528 0.737 0.832
[1] J.S.Lee, A.Pilaftsis et al. Comput. Phys. Commun. 156 (2004)
4. Structure of HDWidth
DecWidth.nb(use Mathematica)
Contour plots: ,..A,,p,..leptons,quarks,g,j),p,p(
jjh 2,121i
Input.dat (text-file): User's fixed parameter definition
HDWidth.exe(use FORTRAN for Windows)
Choice of Function (f) and Argument (p)
,..A,,p,m,g,f),p(f j,hjjhh iii
Output.dat (text-file)
PAW, Grapher, Mathematica,..
)(/)0(1
]GeV[MH
)m,(Hggh1
]GeV[MH
]GeV[10)( 4
only SM particles contributions
5tan
TeV1A
TeV2
},b,t{
)A,( },b,t{ggh1 )(/)0(1
]GeV[A
]GeV[10)( 4
]GeV[A
only SM particles contributions
TeV3.0M
5tan
TeV2
H
),(ggh1
]GeV[
]GeV[10)( 4
]GeV[
only SM particles contributions
)(/)0(1
TeV3.0M
5tan
TeV1A
H
)tan,(ggh1
tan
]GeV[10)( 4
tan
only SM particles contributions
)(/)0(1
TeV3.0M
TeV1A
TeV2
H
)m,(Hh1
)(/)0(1
]GeV[MH
]GeV[10)( 6
]GeV[MH
only SM particles contributions
5tan
TeV1A
TeV2
)A,( },b,t{h1 )(/)0(1
]GeV[A
]GeV[10)( 6
]GeV[A
only SM particles contributions
TeV3.0M
5tan
TeV2
H
),(1h
]GeV[
]GeV[10)( 6
]GeV[
only SM particles contributions
)(/)0(1
TeV3.0M
5tan
TeV1A
H
)tan,(1h
tan
]GeV[10)( 6
TeV3.0M
TeV1A
TeV2
H
)m,(Hbbh1
)(/)0(1
]GeV[MH
]GeV[10)( 3
]GeV[MH
5tan
TeV1A
TeV2
)A,( },b,t{bbh1
)(/)0(1
]GeV[A
]GeV[10)( 3
]GeV[A
TeV3.0M
5tan
TeV2
H
),(bbh1
]GeV[
]GeV[10)( 3
]GeV[
)(/)0(1
TeV3.0M
5tan
TeV1A
H
)tan,(bbh1
tan
]GeV[10)( 3
tan
)(/)0(1
TeV3.0M
TeV1A
TeV2
H
SummaryIn this report the graphic dependences of rare Higgs decay widths for the case of maximum CP mixing (essential difference between CP violating mass states and CP invariance ones) are presented.
The received decay widths values are compare with the CPsuperH results. This results of two ways qualitatively coordinated. However detail comparison is very difficult, because there are differences in the ways of the physical bosons states definition.
At definite choice of free model parameters there are essential shifts of the decay widths, corresponding CP violation, relatively values, received in the frameworks of the CP invariance model. Maximum deviations are taken place at large values of |A|, |mu| and little tan(beta) and Mh+.