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parameters.Littlest_Tpar.f90
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parameters.Littlest_Tpar.f90

! 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/137.03598949333_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 + &
16.0_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 + 17.0_default/15. - five/6. * cos2tp)
gnchup(2) = - gah * (one/five - cos2tp/two)
gnchdwn(1) = gah * (two*yu + 11.0_default/15. + 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 + 14.0_default/15. - 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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