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+.