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parameters.Littlest_Tpar.f90
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! parameters.LittlestTpar.f90
!
! Copyright (C) 1999-2018 by
! Wolfgang Kilian <kilian@physik.uni-siegen.de>
! Thorsten Ohl <ohl@physik.uni-wuerzburg.de>
! Juergen Reuter <juergen.reuter@desy.de>
! with contributions from
! cf. main AUTHORS file
!
! WHIZARD is free software; you can redistribute it and/or modify it
! under the terms of the GNU General Public License as published by
! the Free Software Foundation; either version 2, or (at your option)
! any later version.
!
! WHIZARD is distributed in the hope that it will be useful, but
! WITHOUT ANY WARRANTY; without even the implied warranty of
! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
! GNU General Public License for more details.
!
! You should have received a copy of the GNU General Public License
! along with this program; if not, write to the Free Software
! Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module
parameters_littlest_tpar
use
kinds
use
constants
use
sm_physics
!NODEP!
implicit none
private
complex
(
default
),
public
::
&
gh0ww
,
gh0zz
,
&
gh0tt
,
gh0bb
,
gh0cc
,
gh0tautau
,
gh0mumu
,
&
iga0tt
,
iga0bb
,
iga0cc
,
iga0tautau
,
iga0mumu
,
&
gahh
,
gzhh
,
igzha
,
igzh0a
complex
(
default
),
dimension
(
2
),
public
::
&
ghptb
,
ghpcs
,
ghptaunu
,
ghpmunu
!!! Additional Littlest Higgs parameters
complex
(
default
),
public
::
&
ghwhw
,
ghwhwh
,
ghahah
,
ghzhz
,
ghzhah
,
&
ghahz
,
ghaa
,
geaa
,
geaz
,
gegg
complex
(
default
),
public
::
&
gpsiww
,
gpsiwhw
,
gpsizz
,
gpsizhzh
,
&
gpsizhz
,
gpsizah
,
gpsizhah
,
gpsiahah
,
&
gpsizw
,
gpsizwh
,
gpsiahw
,
gpsiahwh
,
&
gpsizhw
,
gpsizhwh
,
gpsippww
,
gpsippwhw
,
&
gpsippwhwh
,
gpsihw
,
gpsihwh
,
gpsi0w
,
&
gpsi0wh
,
gpsi1w
,
gpsi1wh
,
gpsippw
,
&
gpsippwh
complex
(
default
),
public
::
&
gpsihah
,
gpsi0ah
,
gahpsip
,
&
gpsi1hz
,
gpsi1hzh
,
gpsi01z
,
gpsi01zh
,
&
gzpsip
,
gzpsipp
,
gzhpsipp
complex
(
default
),
public
::
&
ghhaa
,
ghhwhw
,
ghhzhz
,
ghhahz
,
ghhzhah
,
&
ghpsi0ww
,
ghpsi0whw
,
ghpsi0zz
,
ghpsi0zhzh
,
&
ghpsi0zhz
,
ghpsi0ahah
,
ghpsi0zah
,
ghpsi0zhah
complex
(
default
),
public
::
&
ghpsipwa
,
ghpsipwha
,
ghpsipwz
,
ghpsiwhz
,
&
ghpsipwah
,
ghpsipwhah
,
ghpsipwzh
,
ghpsipwhzh
,
&
ghpsippww
,
ghpsippwhwh
,
ghpsippwhw
,
gpsi00zh
,
&
gpsi00ah
,
gpsi00zhah
,
gpsi0pwa
,
gpsi0pwha
,
&
gpsi0pwz
,
gpsi0pwhz
,
gpsi0pwah
,
gpsi0pwhah
,
&
gpsi0pwzh
,
gpsi0pwhzh
,
gpsi0ppww
,
gpsi0ppwhwh
,
&
gpsi0ppwhw
,
i_gpsi0pwa
,
i_gpsi0pwha
,
&
i_gpsi0pwz
,
i_gpsi0pwhz
,
i_gpsi0pwah
,
i_gpsi0pwhah
,
&
i_gpsi0pwzh
,
i_gpsi0pwhzh
,
i_gpsi0ppww
,
i_gpsi0ppwhwh
,
&
i_gpsi0ppwhw
complex
(
default
),
public
::
&
gpsippzz
,
gpsippzhzh
,
gpsippaz
,
gpsippaah
,
&
gpsippzah
,
gpsippwa
,
gpsippwha
,
gpsippwz
,
&
gpsippwhz
,
gpsippwah
,
gpsippwhah
,
gpsippwzh
,
&
gpsippwhzh
,
gpsicczz
,
gpsiccaz
,
gpsiccaah
,
&
gpsicczzh
,
gpsiccazh
,
gpsicczah
complex
(
default
),
public
::
&
igahww
,
igzhww
,
igzwhw
,
igahwhwh
,
igzhwhwh
,
&
igahwhw
complex
(
default
),
public
::
&
gwh4
,
gwhwhww
,
gwhwww
,
gwh3w
,
gwwaah
,
&
gwwazh
,
gwwzzh
,
gwwzah
,
gwhwhaah
,
gwhwhazh
,
&
gwhwhzzh
,
gwhwhzah
,
gwwzhah
,
gwhwhzhah
,
&
gwhwzz
,
gwhwaz
,
gwhwaah
,
gwhwzah
,
gwhwzhzh
,
&
gwhwzhah
,
gwhwazh
,
gwhwzzh
complex
(
default
),
public
::
&
qzup
,
gcch
,
gcctop
,
gccw
,
gccwh
,
&
gnch
,
gztht
,
gzhtht
,
gah
complex
(
default
),
dimension
(
2
),
public
::
&
gnchup
,
gnchdwn
,
gnchneu
,
gnchlep
,
gahtt
,
&
gahthth
,
ghtht
,
gpsipq2
,
gpsipq3
,
&
ghhtht
complex
(
default
),
public
::
&
gahtht
,
ghthth
,
&
gpsi0tt
,
gpsi0bb
,
gpsi0cc
,
gpsi0tautau
,
&
gpsipl3
,
gpsi0tth
,
gpsi1tth
,
gpsipbth
,
&
ghhtt
,
ghhthth
integer
,
parameter
,
public
::
&
n0
=
5
,
nloop
=
2
real
(
default
),
dimension
(
38
),
public
::
mass
,
width
real
(
default
)
::
as
complex
(
default
),
public
::
gs
,
igs
real
(
default
),
public
::
e
,
g
,
gp
,
sinthw
,
costhw
,
sin2thw
,
tanthw
,
e_em
real
(
default
),
public
::
qelep
,
qeup
,
qedwn
,
vev
,
vevp
real
(
default
),
public
::
ttop
,
tbot
,
tch
,
ttau
,
tw
real
(
default
),
public
::
ltop
,
lbot
,
lc
,
ltau
,
lw
real
(
default
),
public
::
sint
,
sintp
,
sin2t
,
sin2tp
,
&
cost
,
costp
,
cos2t
,
cos2tp
real
(
default
),
public
::
spsip
,
cpsip
,
spsi1
,
cpsi1
,
spsi0
,
cpsi0
real
(
default
),
public
::
t_fac
,
tp_fac
,
ttp_fac
,
c4s4
real
(
default
),
public
::
xzbp
,
xzwp
,
xh
,
xlam
real
(
default
),
public
::
f_vev
,
lam1
,
lam2
real
(
default
),
public
::
ye
,
yu
complex
(
default
),
public
::
qlep
,
qup
,
qdwn
,
gcc
,
qw
,
&
gzww
,
gwww
,
ghww
,
ghhww
,
ghzz
,
ghhzz
,
&
ghbb
,
ghtt
,
ghcc
,
ghtautau
,
gh3
,
gh4
,
&
ghgaga
,
ghgaz
,
ghgg
,
ghmm
,
&
iqw
,
igzww
,
igwww
,
gw4
,
gzzww
,
gazww
,
gaaww
complex
(
default
),
dimension
(
2
),
public
::
&
gncneu
,
gnclep
,
gncup
,
gncdwn
real
(
default
),
parameter
::
xi0
=
0.0
,
xipm
=
0.0
real
(
default
),
parameter
::
&
acc
=
1.e-12_default
real
(
default
),
parameter
::
&
asmz
=
.
118_default
public
::
import_from_whizard
,
model_update_alpha_s
contains
subroutine
import_from_whizard
(
par_array
,
scheme
)
real
(
default
),
dimension
(
46
),
intent
(
in
)
::
par_array
integer
,
intent
(
in
)
::
scheme
!!! This corresponds to 1/alpha = 137.03598949333
real
(
default
),
parameter
::
&
alpha
=
1.0_default
/
13
7.03598949333_default
real
(
default
),
parameter
::
&
asmz
=
0.118_default
real
(
default
),
parameter
::
&
one
=
1.0_default
,
two
=
2.0_default
,
three
=
3.0_default
,
&
four
=
4.0_default
,
five
=
5.0_default
type
::
parameter_set
real
(
default
)
::
gf
real
(
default
)
::
mZ
real
(
default
)
::
mW
real
(
default
)
::
mH
real
(
default
)
::
meta
real
(
default
)
::
alphas
real
(
default
)
::
me
real
(
default
)
::
mmu
real
(
default
)
::
mtau
real
(
default
)
::
ms
real
(
default
)
::
mc
real
(
default
)
::
mb
real
(
default
)
::
mtop
real
(
default
)
::
wtop
real
(
default
)
::
wZ
real
(
default
)
::
wW
real
(
default
)
::
wH
real
(
default
)
::
weta
real
(
default
)
::
khgaz
real
(
default
)
::
khgaga
real
(
default
)
::
khgg
real
(
default
)
::
mtoph
real
(
default
)
::
mah
real
(
default
)
::
mzh
real
(
default
)
::
mwh
real
(
default
)
::
mpsi0
real
(
default
)
::
mpsi1
real
(
default
)
::
mpsip
real
(
default
)
::
mpsipp
real
(
default
)
::
wtoph
real
(
default
)
::
wah
real
(
default
)
::
wzh
real
(
default
)
::
wwh
real
(
default
)
::
wpsi0
real
(
default
)
::
wpsi1
real
(
default
)
::
wpsip
real
(
default
)
::
wpsipp
real
(
default
)
::
st
real
(
default
)
::
stp
real
(
default
)
::
vp
real
(
default
)
::
f
real
(
default
)
::
lam1
real
(
default
)
::
v
real
(
default
)
::
cw
real
(
default
)
::
sw
real
(
default
)
::
ee
end type
parameter_set
type
(
parameter_set
)
::
par
par
%
gf
=
par_array
(
1
)
par
%
mZ
=
par_array
(
2
)
par
%
mW
=
par_array
(
3
)
par
%
mH
=
par_array
(
4
)
par
%
meta
=
par_array
(
5
)
par
%
alphas
=
par_array
(
6
)
par
%
me
=
par_array
(
7
)
par
%
mmu
=
par_array
(
8
)
par
%
mtau
=
par_array
(
9
)
par
%
ms
=
par_array
(
10
)
par
%
mc
=
par_array
(
11
)
par
%
mb
=
par_array
(
12
)
par
%
mtop
=
par_array
(
13
)
par
%
wtop
=
par_array
(
14
)
par
%
wZ
=
par_array
(
15
)
par
%
wW
=
par_array
(
16
)
par
%
wH
=
par_array
(
17
)
par
%
weta
=
par_array
(
18
)
par
%
khgaz
=
par_array
(
19
)
par
%
khgaga
=
par_array
(
20
)
par
%
khgg
=
par_array
(
21
)
par
%
mtoph
=
par_array
(
22
)
par
%
mah
=
par_array
(
23
)
par
%
mzh
=
par_array
(
24
)
par
%
mwh
=
par_array
(
25
)
par
%
mpsi0
=
par_array
(
26
)
par
%
mpsi1
=
par_array
(
27
)
par
%
mpsip
=
par_array
(
28
)
par
%
mpsipp
=
par_array
(
29
)
par
%
wtoph
=
par_array
(
30
)
par
%
wah
=
par_array
(
31
)
par
%
wzh
=
par_array
(
32
)
par
%
wwh
=
par_array
(
33
)
par
%
wpsi0
=
par_array
(
34
)
par
%
wpsi1
=
par_array
(
35
)
par
%
wpsip
=
par_array
(
36
)
par
%
wpsipp
=
par_array
(
37
)
par
%
st
=
par_array
(
38
)
par
%
stp
=
par_array
(
39
)
par
%
vp
=
par_array
(
40
)
par
%
f
=
par_array
(
41
)
par
%
lam1
=
par_array
(
42
)
par
%
v
=
par_array
(
43
)
par
%
cw
=
par_array
(
44
)
par
%
sw
=
par_array
(
45
)
par
%
ee
=
par_array
(
46
)
e_em
=
sqrt
(
four
*
PI
*
alpha
)
mass
(
1
:
38
)
=
0
width
(
1
:
38
)
=
0
mass
(
3
)
=
par
%
ms
mass
(
4
)
=
par
%
mc
mass
(
5
)
=
par
%
mb
mass
(
6
)
=
par
%
mtop
width
(
6
)
=
par
%
wtop
mass
(
8
)
=
par
%
mtoph
width
(
8
)
=
par
%
wtoph
mass
(
11
)
=
par
%
me
mass
(
13
)
=
par
%
mmu
mass
(
15
)
=
par
%
mtau
mass
(
23
)
=
par
%
mZ
width
(
23
)
=
par
%
wZ
mass
(
24
)
=
par
%
mW
width
(
24
)
=
par
%
wW
mass
(
25
)
=
par
%
mH
width
(
25
)
=
par
%
wH
mass
(
26
)
=
xi0
*
mass
(
23
)
width
(
26
)
=
0
mass
(
27
)
=
xipm
*
mass
(
24
)
width
(
27
)
=
0
mass
(
32
)
=
par
%
mAH
width
(
32
)
=
par
%
wAH
mass
(
33
)
=
par
%
mZH
width
(
33
)
=
par
%
wZH
mass
(
34
)
=
par
%
mWH
width
(
34
)
=
par
%
wWH
mass
(
35
)
=
par
%
mpsi0
width
(
35
)
=
par
%
wpsi0
mass
(
36
)
=
par
%
mpsi1
width
(
36
)
=
par
%
wpsi1
mass
(
37
)
=
par
%
mpsip
width
(
37
)
=
par
%
wpsip
mass
(
38
)
=
par
%
mpsipp
width
(
38
)
=
par
%
wpsipp
!!! This choice is responsible for anomaly cancellation:
ye
=
-
two
/
five
yu
=
three
/
five
ttop
=
four
*
mass
(
6
)
**
2
/
mass
(
25
)
**
2
tbot
=
four
*
mass
(
5
)
**
2
/
mass
(
25
)
**
2
tch
=
four
*
mass
(
4
)
**
2
/
mass
(
25
)
**
2
ttau
=
four
*
mass
(
15
)
**
2
/
mass
(
25
)
**
2
tw
=
four
*
mass
(
24
)
**
2
/
mass
(
25
)
**
2
ltop
=
four
*
mass
(
6
)
**
2
/
mass
(
23
)
**
2
lbot
=
four
*
mass
(
5
)
**
2
/
mass
(
23
)
**
2
lc
=
four
*
mass
(
4
)
**
2
/
mass
(
23
)
**
2
ltau
=
four
*
mass
(
15
)
**
2
/
mass
(
23
)
**
2
lw
=
four
*
mass
(
24
)
**
2
/
mass
(
23
)
**
2
vev
=
2
*
mass
(
24
)
*
par
%
sw
/
par
%
ee
vevp
=
par
%
vp
f_vev
=
par
%
f
e
=
par
%
ee
sinthw
=
par
%
sw
sin2thw
=
sinthw
**
2
costhw
=
par
%
cw
tanthw
=
sinthw
/
costhw
qelep
=
-
one
qeup
=
two
/
three
qedwn
=
-
one
/
three
g
=
e
/
sinthw
gp
=
e
/
costhw
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!! Littlest Higgs special values
sint
=
par
%
st
sintp
=
par
%
stp
sin2t
=
sint
**
2
sin2tp
=
sintp
**
2
cos2t
=
1.0_default
-
sin2t
cos2tp
=
1.0_default
-
sin2tp
cost
=
sqrt
(
cos2t
)
costp
=
sqrt
(
cos2tp
)
if
(
abs
(
sint
)
<
1.e-5
.
or
.
abs
(
sint
)
>
1.
-
1.e-5
.
or
.
&
abs
(
sintp
)
<
1.e-5
.
or
.
abs
(
sintp
)
>
1.
-
1.e-5
)
then
write
(
6
,
"(A)"
)
"This mixing is unphysical and leads to singularities"
stop
end if
!!!
lam1
=
par
%
lam1
lam2
=
(
mass
(
8
)
/
f_vev
)
**
2
*
(
mass
(
6
)
/
vev
)
/
lam1
xlam
=
lam1
**
2
/
(
lam1
**
2
+
lam2
**
2
)
!!!
xh
=
five
*
g
*
gp
*
sint
*
cost
*
sintp
*
costp
*
(
cos2t
*
sin2tp
+
&
sin2t
*
cos2tp
)
/
(
five
*
g
**
2
*
sin2tp
*
cos2tp
-
&
gp
**
2
*
sin2t
*
cos2t
)
/
two
xzbp
=
-
five
/
two
*
sintp
*
costp
*
(
cos2tp
-
sin2tp
)
/
sinthw
xzwp
=
-
sint
*
cost
*
(
cos2t
-
sin2t
)
/
two
/
costhw
!!!
spsi1
=
sqrt
(
8.0_default
)
*
vevp
/
sqrt
(
vev
**
2
+
8.0_default
*
vevp
**
2
)
cpsi1
=
vev
/
sqrt
(
vev
**
2
+
8.0_default
*
vevp
**
2
)
spsip
=
two
*
vevp
/
sqrt
(
vev
**
2
+
four
*
vevp
**
2
)
cpsip
=
vev
/
sqrt
(
vev
**
2
+
four
*
vevp
**
2
)
spsi0
=
sqrt
(
8.0_default
)
*
vevp
/
vev
!!!
t_fac
=
(
cos2t
-
sin2t
)
/
two
/
sint
/
cost
tp_fac
=
(
cos2tp
-
sin2tp
)
/
two
/
sintp
/
costp
ttp_fac
=
(
cos2t
*
sin2tp
+
sin2t
*
cos2tp
)
/
sint
/
sintp
&
/
cost
/
costp
c4s4
=
(
cos2t
**
2
+
sin2t
**
2
)
/
two
/
cos2t
/
sin2t
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!! In principle, we should allow here for deviations from
!!! the SM values
gcc
=
-
g
/
2
/
sqrt
(
2.0_double
)
gncneu
(
1
)
=
-
g
/
two
/
costhw
*
(
+
0.5_double
)
gnclep
(
1
)
=
-
g
/
two
/
costhw
*
(
-
0.5_double
-
2
*
qelep
*
sin2thw
)
gncup
(
1
)
=
-
g
/
two
/
costhw
*
(
+
0.5_double
-
2
*
qeup
*
sin2thw
)
gncdwn
(
1
)
=
-
g
/
two
/
costhw
*
(
-
0.5_double
-
2
*
qedwn
*
sin2thw
)
gncneu
(
2
)
=
-
g
/
two
/
costhw
*
(
+
0.5_double
)
gnclep
(
2
)
=
-
g
/
two
/
costhw
*
(
-
0.5_double
)
gncup
(
2
)
=
-
g
/
two
/
costhw
*
(
+
0.5_double
)
gncdwn
(
2
)
=
-
g
/
two
/
costhw
*
(
-
0.5_double
)
qlep
=
-
e
*
qelep
qup
=
-
e
*
qeup
qdwn
=
-
e
*
qedwn
qw
=
e
iqw
=
imago
*
qw
gzww
=
g
*
costhw
igzww
=
imago
*
gzww
gwww
=
g
igwww
=
imago
*
gwww
gw4
=
gwww
**
2
gzzww
=
gzww
**
2
gazww
=
gzww
*
qw
gaaww
=
qw
**
2
ghww
=
mass
(
24
)
*
g
*
(
one
-
vev
**
2
/
three
/
f_vev
**
2
+
vev
**
2
/
f_vev
**
2
*
&
(
cos2t
-
sin2t
)
**
2
/
two
-
spsi0
**
2
/
two
-
two
*
sqrt
(
two
)
*
&
spsi0
*
vevp
/
vev
)
!!! SM value !!! ghww = mass(24) * g
ghhww
=
g
**
2
/
two
ghzz
=
mass
(
23
)
*
g
/
costhw
*
(
one
-
vev
**
2
/
three
/
f_vev
**
2
-
spsi0
**
2
/
two
&
+
four
*
sqrt
(
two
)
*
vevp
/
vev
-
vev
**
2
/
f_vev
**
2
/
two
*
((
cos2t
-
sin2t
)
**
2
&
+
five
*
(
cos2tp
-
sin2tp
)
**
2
))
!!! SM value !!! ghzz = mass(23) * g / costhw
ghhzz
=
g
**
2
/
two
/
costhw
**
2
!!! ghtt = - mass(6) / vev !!! Will be corrected below
ghbb
=
-
mass
(
5
)
/
vev
ghcc
=
-
mass
(
4
)
/
vev
ghtautau
=
-
mass
(
15
)
/
vev
gh3
=
-
3
*
mass
(
25
)
**
2
/
vev
gh4
=
-
3
*
mass
(
25
)
**
2
/
vev
**
2
!!! Color flow basis, divide by sqrt(2)
gs
=
sqrt
(
2.0_default
*
PI
*
par
%
alphas
)
igs
=
cmplx
(
0.0_default
,
1.0_default
,
kind
=
default
)
*
gs
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!! Higgs anomaly couplings
!!! SM LO loop factor (top,bottom,W)
ghgaga
=
(
-
1._default
)
*
alpha
/
vev
/
2.0_default
/
PI
*
&
((
4.0_default
*
(
fonehalf
(
ttop
)
+
fonehalf
(
tch
))
&
+
fonehalf
(
tbot
))
/
3.0_default
+
fonehalf
(
ttau
)
+
fone
(
tw
))
&
*
sqrt
(
par
%
khgaga
)
!!! asymptotic limit:
!!! ghgaga = (par%ee)**2 / vev / &
!!! 9.0_default / pi**2
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!! SM LO loop factor (only top and W)
ghgaz
=
e
*
e_em
/
8.0_default
/
PI
**
2
/
vev
*
&
(
-
2.0_default
+
&
1
6.0_default
/
3.0_default
*
sin2thw
)
*
&
(
tri_i1
(
ttop
,
ltop
)
-
tri_i2
(
ttop
,
ltop
))
/
costhw
&
+
(
-
1.0_default
+
&
4.0_default
/
3.0_default
*
sin2thw
)
&
*
(
tri_i1
(
tbot
,
lbot
)
-
tri_i2
(
tbot
,
lbot
))
/
costhw
&
+
(
-
1.0_default
+
4.0_default
*
sin2thw
)
&
*
(
tri_i1
(
ttau
,
ltau
)
-
tri_i2
(
ttau
,
ltau
))
/
costhw
&
-
costhw
*
(
4.0_default
*
(
3.0_default
-
tanthw
**
2
)
*
&
tri_i2
(
tw
,
lw
)
+
((
1
+
2.0_default
/
tw
)
*
tanthw
**
2
-
(
&
5.0_default
+
2.0_default
/
tw
))
*
tri_i1
(
tw
,
lw
))
&
/
sinthw
*
sqrt
(
par
%
khgaz
)
!!! SM LO order loop factor with
!!! N(N)LO K factor = 2.1 (only top)
!!! Limit of infinite top quark mass:
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!! We use par%gg because of sqrt(2) above
ghgg
=
(
-
1._double
)
*
par
%
alphas
/
vev
/
4.0_default
/
PI
*
&
(
fonehalf
(
ttop
)
+
fonehalf
(
tbot
)
+
fonehalf
(
tch
))
*
&
sqrt
(
par
%
khgg
)
!!! ghgg = par%alphas / 3.0_default &
!!! / vev / pi * 2.1_default
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
ghwhwh
=
-
g
**
2
*
vev
/
two
ghahah
=
-
gp
**
2
*
vev
/
two
ghwhw
=
t_fac
*
ghwhwh
ghzhz
=
ghwhw
/
costhw
ghzhah
=
-
g
*
gp
*
vev
*
ttp_fac
/
four
ghahz
=
-
g
*
gp
*
tp_fac
*
vev
/
costhw
/
two
!!!
gpsiww
=
-
g
**
2
*
(
spsi0
*
vev
-
sqrt
(
8.0_default
)
*
vevp
)
/
two
gpsiwhw
=
-
gpsiww
*
t_fac
gpsizz
=
-
g
**
2
*
(
spsi0
*
vev
-
four
*
sqrt
(
two
)
*
vevp
)
/
two
/
costhw
**
2
gpsizhzh
=
g
**
2
*
(
spsi0
*
vev
+
sqrt
(
two
)
*
vevp
*
t_fac
)
/
two
gpsizhz
=
-
gpsizz
*
t_fac
*
costhw
gpsizah
=
-
gpsizz
*
tp_fac
*
costhw
*
gp
/
g
gpsizhah
=
g
*
gp
/
four
/
sint
/
cost
/
sintp
/
costp
*
(
vev
*
spsi0
*
&
(
cos2t
*
sin2tp
+
sin2t
*
cos2tp
)
+
sqrt
(
8.0_default
)
*
vevp
*
&
(
cos2t
-
sin2t
)
*
(
cos2tp
-
sin2tp
))
gpsiahah
=
gp
**
2
*
(
vev
*
spsi0
+
tp_fac
*
sqrt
(
two
)
*
vevp
)
/
two
!!!
gpsizw
=
-
g
**
2
/
costhw
*
vevp
gpsizwh
=
-
gpsizw
*
t_fac
gpsiahw
=
-
g
*
gp
*
tp_fac
*
(
vev
*
spsip
-
four
*
vevp
)
/
two
gpsiahwh
=
-
g
*
gp
*
vevp
*
(
cos2t
*
cos2tp
+
sin2t
*
sin2tp
)
/
two
/
&
sint
/
cost
/
sintp
/
costp
gpsizhw
=
g
**
2
*
vevp
*
t_fac
gpsizhwh
=
-
g
**
2
*
vevp
*
c4s4
!!!
gpsippww
=
two
*
g
**
2
*
vevp
gpsippwhw
=
-
gpsippww
*
t_fac
gpsippwhwh
=
gpsippww
*
c4s4
!!!
gpsihw
=
-
g
/
two
*
(
sqrt
(
two
)
*
spsi0
-
spsip
)
gpsihwh
=
-
gpsihw
*
t_fac
gpsi0w
=
-
g
/
sqrt
(
two
)
gpsi0wh
=
-
gpsi0w
*
t_fac
gpsi1w
=
imago
*
gpsi0w
gpsi1wh
=
imago
*
gpsi0wh
gpsippw
=
-
g
gpsippwh
=
g
*
t_fac
!!!
gpsihah
=
imago
/
two
*
gp
*
tp_fac
*
(
spsi1
-
two
*
spsi0
)
gpsi0ah
=
-
imago
*
gp
*
tp_fac
gahpsip
=
gp
*
tp_fac
gpsi1hz
=
-
imago
*
g
/
2
/
costhw
*
(
spsi1
-
two
*
spsi0
)
gpsi1hzh
=
imago
*
g
/
two
*
t_fac
*
(
spsi1
-
two
*
spsi0
)
gpsi01z
=
imago
*
g
/
costhw
gpsi01zh
=
-
imago
*
g
*
t_fac
gzpsip
=
g
/
costhw
*
sin2thw
gzpsipp
=
-
g
/
costhw
*
(
one
-
two
*
sin2thw
)
gzhpsipp
=
g
*
t_fac
!!!
ghhaa
=
-
gp
**
2
/
two
ghhwhw
=
-
g
**
2
/
two
*
t_fac
ghhzhz
=
-
g
**
2
/
two
/
costhw
*
t_fac
ghhahz
=
-
g
*
gp
/
2
/
costhw
*
tp_fac
ghhzhah
=
-
g
*
gp
/
four
*
ttp_fac
!!!
ghpsi0ww
=
g
**
2
/
two
*
spsi0
ghpsi0whw
=
-
g
**
2
/
two
*
spsi0
*
t_fac
ghpsi0zz
=
three
*
g
**
2
*
spsi0
/
two
/
costhw
**
2
ghpsi0zhzh
=
g
**
2
/
two
*
(
one
+
t_fac
**
2
)
*
spsi0
ghpsi0zhz
=
-
three
*
g
**
2
*
t_fac
/
two
/
costhw
*
spsi0
ghpsi0ahah
=
gp
**
2
/
two
*
(
one
+
tp_fac
**
2
)
*
spsi0
ghpsi0zah
=
-
three
*
g
*
gp
*
spsi0
*
tp_fac
/
two
/
costhw
ghpsi0zhah
=
g
*
gp
*
spsi0
/
four
*
(
ttp_fac
+
two
**
3
*
t_fac
*
tp_fac
)
!!!
ghpsipwa
=
-
e
*
g
*
(
spsip
-
sqrt
(
two
)
*
spsi0
)
/
two
ghpsipwha
=
-
ghpsipwa
*
t_fac
ghpsipwz
=
g
**
2
/
costhw
/
two
*
(
spsip
*
sin2thw
-
sqrt
(
two
)
*
spsi0
*
&
(
one
+
sin2thw
))
ghpsiwhz
=
-
ghpsipwz
*
t_fac
ghpsipwah
=
-
g
*
gp
*
(
spsip
-
two
*
sqrt
(
two
)
*
spsi0
)
*
tp_fac
/
two
ghpsipwhah
=
-
g
*
gp
*
(
ttp_fac
*
spsip
+
&
four
*
sqrt
(
two
)
*
t_fac
*
tp_fac
*
spsi0
)
/
four
ghpsipwzh
=
g
**
2
*
t_fac
*
spsi0
/
two
ghpsipwhzh
=
-
g
**
2
*
c4s4
/
two
*
spsi0
ghpsippww
=
sqrt
(
two
)
*
g
**
2
*
spsi0
ghpsippwhwh
=
sqrt
(
two
)
*
g
**
2
*
c4s4
*
spsi0
ghpsippwhw
=
-
sqrt
(
two
)
*
g
**
2
*
t_fac
*
spsi0
gpsi00zh
=
two
*
g
**
2
*
t_fac
**
2
gpsi00ah
=
two
*
gp
**
2
*
tp_fac
**
2
gpsi00zhah
=
two
*
g
*
gp
*
t_fac
*
tp_fac
!!!
gpsi0pwa
=
-
e
*
g
/
sqrt
(
two
)
gpsi0pwha
=
-
gpsi0pwa
*
t_fac
gpsi0pwz
=
-
g
**
2
*
(
one
+
sin2thw
)
/
costhw
/
sqrt
(
two
)
gpsi0pwhz
=
-
gpsi0pwz
*
t_fac
gpsi0pwah
=
sqrt
(
two
)
*
g
*
gp
*
tp_fac
gpsi0pwhah
=
-
gpsi0pwah
*
t_fac
gpsi0pwzh
=
g
**
2
*
t_fac
/
sqrt
(
two
)
gpsi0pwhzh
=
-
g
**
2
*
c4s4
/
sqrt
(
two
)
gpsi0ppww
=
sqrt
(
two
)
*
g
**
2
gpsi0ppwhwh
=
gpsi0ppww
*
c4s4
gpsi0ppwhw
=
-
gpsi0ppww
*
t_fac
i_gpsi0pwa
=
imago
*
gpsi0pwa
i_gpsi0pwha
=
imago
*
gpsi0pwha
i_gpsi0pwz
=
imago
*
gpsi0pwz
i_gpsi0pwhz
=
imago
*
gpsi0pwhz
i_gpsi0pwah
=
imago
*
gpsi0pwah
i_gpsi0pwhah
=
imago
*
gpsi0pwhah
i_gpsi0pwzh
=
imago
*
gpsi0pwzh
i_gpsi0pwhzh
=
imago
*
gpsi0pwhzh
i_gpsi0ppww
=
imago
*
gpsi0ppww
i_gpsi0ppwhwh
=
imago
*
gpsi0ppwhwh
i_gpsi0ppwhw
=
imago
*
gpsi0ppwhw
!!!
gpsippzz
=
two
*
g
**
2
/
costhw
**
2
*
sin2thw
**
2
gpsippzhzh
=
-
two
*
g
**
2
/
four
/
sin2t
/
cos2t
gpsippaz
=
-
two
*
e
*
g
/
costhw
*
sin2thw
gpsippaah
=
-
two
*
e
*
gp
*
tp_fac
gpsippzah
=
two
*
g
*
gp
*
tp_fac
*
sin2thw
/
costhw
!!!
gpsippwa
=
three
*
e
*
g
gpsippwha
=
-
gpsippwa
*
t_fac
gpsippwz
=
g
**
2
*
(
one
-
three
*
sin2thw
)
/
costhw
gpsippwhz
=
-
gpsippwz
*
t_fac
gpsippwah
=
two
*
g
*
gp
*
tp_fac
gpsippwhah
=
-
gpsippwah
*
t_fac
gpsippwzh
=
-
g
**
2
*
t_fac
/
sqrt
(
two
)
gpsippwhzh
=
g
**
2
*
c4s4
/
sqrt
(
two
)
!!!
gpsicczz
=
g
**
2
*
(
one
-
two
*
sin2thw
)
**
2
/
costhw
**
2
gpsiccaz
=
four
*
e
*
g
*
(
one
-
two
*
sin2thw
)
/
costhw
gpsiccaah
=
-
four
*
e
*
gp
*
tp_fac
gpsicczzh
=
two
*
g
**
2
*
t_fac
*
(
one
-
two
*
sin2thw
)
/
costhw
gpsiccazh
=
four
*
e
*
g
*
t_fac
gpsicczah
=
-
two
*
g
*
gp
*
tp_fac
*
(
one
-
two
*
sin2thw
)
/
costhw
!!! heavy triple gauge couplings
igahww
=
-
imago
*
g
*
costhw
*
xzbp
*
vev
**
2
/
f_vev
**
2
igzhww
=
-
imago
*
g
*
(
costhw
*
xzwp
+
sint
*
cost
*
(
cos2t
-
sin2t
))
*
vev
**
2
/
f_vev
**
2
igzwhw
=
imago
*
g
*
xzwp
*
vev
**
2
/
f_vev
**
2
igahwhwh
=
-
imago
*
g
*
(
two
*
t_fac
*
xh
+
costhw
*
xzbp
)
*
vev
**
2
/
f_vev
**
2
igzhwhwh
=
-
imago
*
g
*
two
*
t_fac
igahwhw
=
imago
*
g
*
xh
*
vev
**
2
/
f_vev
**
2
!!!
gwh4
=
g
**
2
*
(
cos2t
**
3
+
sin2t
**
3
)
/
sin2t
/
cos2t
gwhwhww
=
g
**
2
/
four
gwhwww
=
g
**
2
*
sint
*
cost
*
(
cos2t
-
sin2t
)
*
vev
**
2
/
four
/
f_vev
**
2
gwh3w
=
-
g
**
2
*
t_fac
!!!
gwwaah
=
-
g
**
2
*
sinthw
*
costhw
*
xzbp
*
vev
**
2
/
f_vev
**
2
gwwazh
=
-
g
**
2
*
sinthw
*
costhw
*
xzwp
*
vev
**
2
/
f_vev
**
2
+
g
**
2
*
sinthw
*
sint
*
cost
*
&
(
cos2t
-
sin2t
)
/
two
*
vev
**
2
/
f_vev
**
2
gwwzzh
=
-
g
**
2
*
(
costhw
**
2
-
sin2thw
)
*
xzwp
*
vev
**
2
/
f_vev
**
2
gwwzah
=
-
g
**
2
*
costhw
**
2
*
xzbp
*
vev
**
2
/
f_vev
**
2
gwhwhaah
=
gwwaah
-
g
**
2
*
sinthw
*
two
*
t_fac
*
xh
*
vev
**
2
/
f_vev
**
2
gwhwhazh
=
-
g
**
2
*
sinthw
*
two
*
t_fac
gwhwhzzh
=
-
g
**
2
*
costhw
*
two
*
t_fac
gwhwhzah
=
gwwzah
-
g
**
2
*
costhw
*
xh
*
two
*
t_fac
*
vev
**
2
/
f_vev
**
2
gwwzhah
=
g
**
2
*
xh
*
vev
**
2
/
f_vev
**
2
gwhwhzhah
=
gwh4
*
xh
*
vev
**
2
/
f_vev
**
2
+
g
**
2
*
costhw
*
xzbp
**
two
*
t_fac
*
vev
**
2
/
f_vev
**
2
gwhwzz
=
g
**
2
*
two
*
costhw
*
xzwp
*
vev
**
2
/
f_vev
**
2
gwhwaz
=
g
**
2
*
sinthw
*
xzwp
*
vev
**
2
/
two
/
f_vev
**
2
gwhwaah
=
g
**
2
*
sinthw
*
xh
*
vev
**
2
/
f_vev
**
2
gwhwzah
=
g
**
2
*
costhw
*
xh
*
vev
**
2
/
f_vev
**
2
gwhwzhzh
=
-
g
**
2
*
two
*
t_fac
gwhwzhah
=
-
g
**
2
*
vev
**
2
/
f_vev
**
2
*
(
xh
*
two
*
t_fac
+
costhw
*
xzbp
)
gwhwazh
=
g
**
2
*
sinthw
gwhwzzh
=
g
**
2
*
costhw
!!!
qzup
=
g
/
costhw
*
qeup
*
sin2thw
gcch
=
-
gcc
*
cost
/
sint
gcctop
=
gcc
*
(
one
-
(
vev
*
xlam
/
f_vev
)
**
2
/
two
)
gccw
=
gcc
*
vev
/
f_vev
*
xlam
gccwh
=
-
gccw
*
cost
/
sint
gnch
=
g
*
cost
/
four
/
sint
gztht
=
-
g
*
xlam
*
vev
/
four
/
costhw
/
f_vev
gzhtht
=
g
*
xlam
*
(
vev
/
f_vev
)
*
cost
/
sint
!!! Here we give the formulae for the masses as a function of other
!!! input parameter in the case that they do not want to be given by
!!! the user
! mass(32) = sqrt((f_vev*gp/sintp/costp)**2/20_default - (gp*vev/two)**2 &
! + (g*vev/two/sint/cost)**2 * xh)
! mass(33) = sqrt((f_vev*g/two/sint/cost)**2 - (g*vev/two)**2 - &
! (gp*vev/two/sintp/costp)**2 * xh)
! mass(34) = sqrt((f_vev*g/two/sint/cost)**2 - (g*vev/two)**2)
gah
=
gp
/
two
/
sintp
/
costp
gnchup
(
1
)
=
gah
*
(
two
*
yu
+
1
7.0_default
/
1
5.
-
five
/
6.
*
cos2tp
)
gnchup
(
2
)
=
-
gah
*
(
one
/
five
-
cos2tp
/
two
)
gnchdwn
(
1
)
=
gah
*
(
two
*
yu
+
1
1.0_default
/
1
5.
+
one
/
6.
*
cos2tp
)
gnchdwn
(
2
)
=
gah
*
(
one
/
five
-
cos2tp
/
two
)
gnchneu
(
1
)
=
gah
*
(
ye
-
four
/
five
+
one
/
two
*
cos2tp
)
gnchneu
(
2
)
=
-
gah
*
(
-
ye
+
four
/
five
-
cos2tp
/
two
)
gnchlep
(
1
)
=
gah
*
(
two
*
ye
-
9.0_default
/
five
+
three
/
two
*
cos2tp
)
gnchlep
(
2
)
=
gah
*
(
one
/
five
-
cos2tp
/
two
)
gahtht
=
gah
*
mass
(
6
)
/
vev
/
five
gahtt
(
1
)
=
gnchup
(
1
)
-
gah
*
xlam
/
five
gahtt
(
2
)
=
gnchup
(
2
)
+
gah
*
xlam
/
five
gahthth
(
1
)
=
gah
*
(
two
*
yu
+
1
4.0_default
/
1
5.
-
four
/
three
*
&
cos2tp
+
xlam
/
five
)
gahthth
(
2
)
=
-
gah
*
xlam
/
five
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!! Littlest Higgs Yukawa couplings
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
ghtt
=
-
mass
(
6
)
/
vev
*
(
one
+
(
vev
/
f_vev
)
**
2
*
xlam
*
(
one
+
xlam
))
ghthth
=
-
xlam
*
(
one
+
xlam
)
*
mass
(
8
)
*
vev
/
f_vev
**
2
ghtht
(
1
)
=
-
mass
(
6
)
/
two
/
f_vev
*
(
one
+
xlam
)
ghtht
(
2
)
=
-
mass
(
8
)
*
xlam
/
two
/
f_vev
gpsi0tt
=
-
mass
(
6
)
/
sqrt
(
two
)
/
vev
*
(
vev
/
f_vev
-
sqrt
(
two
)
*
spsi0
)
gpsi0bb
=
-
mass
(
5
)
/
sqrt
(
two
)
/
vev
*
(
vev
/
f_vev
-
sqrt
(
two
)
*
spsi0
)
gpsi0cc
=
-
mass
(
4
)
/
sqrt
(
two
)
/
vev
*
(
vev
/
f_vev
-
sqrt
(
two
)
*
spsi0
)
gpsi0tautau
=
-
mass
(
15
)
/
sqrt
(
two
)
/
vev
*
(
vev
/
f_vev
-
sqrt
(
two
)
*
spsi0
)
gpsi0tt
=
imago
*
mass
(
6
)
/
sqrt
(
two
)
/
vev
*
(
vev
/
f_vev
-
sqrt
(
two
)
*
spsi1
)
gpsi0bb
=
-
imago
*
mass
(
5
)
/
sqrt
(
two
)
/
vev
*
(
vev
/
f_vev
-
sqrt
(
two
)
*
spsi1
)
gpsi0cc
=
imago
*
mass
(
4
)
/
sqrt
(
two
)
/
vev
*
(
vev
/
f_vev
-
sqrt
(
two
)
*
spsi1
)
gpsi0tautau
=
-
imago
*
mass
(
15
)
/
sqrt
(
two
)
/
vev
*
(
vev
/
f_vev
-
sqrt
(
two
)
*
spsi1
)
gpsipq2
(
1
)
=
-
mass
(
6
)
/
sqrt
(
two
)
/
vev
*
(
vev
/
f_vev
-
two
*
spsip
)
gpsipq2
(
2
)
=
-
mass
(
5
)
/
sqrt
(
two
)
/
vev
*
(
vev
/
f_vev
-
two
*
spsip
)
gpsipq3
(
1
)
=
-
mass
(
4
)
/
sqrt
(
two
)
/
vev
*
(
vev
/
f_vev
-
two
*
spsip
)
gpsipq3
(
2
)
=
-
mass
(
3
)
/
sqrt
(
two
)
/
vev
*
(
vev
/
f_vev
-
two
*
spsip
)
gpsipl3
=
-
mass
(
15
)
/
two
/
sqrt
(
two
)
/
vev
*
(
vev
/
f_vev
-
two
*
spsip
)
gpsi0tth
=
-
mass
(
6
)
/
two
/
sqrt
(
two
)
/
vev
*
(
vev
/
f_vev
-
sqrt
(
two
)
*
spsi0
)
gpsi1tth
=
imago
*
gpsi0tth
gpsipbth
=
-
mass
(
6
)
/
two
/
sqrt
(
two
)
/
vev
*
(
vev
/
f_vev
-
two
*
spsip
)
*
lam1
/
lam2
!!!
ghhtt
=
two
*
mass
(
6
)
/
f_vev
**
2
*
(
one
-
two
*
f_vev
*
vevp
/
vev
**
2
-
xlam
/
two
)
ghhthth
=
-
lam1
**
2
/
mass
(
8
)
ghhtht
(
1
)
=
ghhtt
*
lam1
/
lam2
ghhtht
(
2
)
=
-
mass
(
6
)
/
vev
/
f_vev
end subroutine
import_from_whizard
subroutine
model_update_alpha_s
(
alpha_s
)
real
(
default
),
intent
(
in
)
::
alpha_s
gs
=
sqrt
(
2.0_default
*
PI
*
alpha_s
)
igs
=
cmplx
(
0.0_default
,
1.0_default
,
kind
=
default
)
*
gs
end subroutine
model_update_alpha_s
end module
parameters_littlest_tpar
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