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! $Id: parameters.SM_top_anom.f90,v 1.4 2006/06/16 13:31:48 kilian Exp $
!
! Copyright (C) 1999-2012 by
! Wolfgang Kilian <kilian@physik.uni-siegen.de>
! Thorsten Ohl <ohl@physik.uni-wuerzburg.de>
! Juergen Reuter <juergen.reuter@desy.de>
! Christian Speckner <christian.speckner@physik.uni-freiburg.de>
! Fabian Bach <fabian.bach@desy.de> (only this 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_sm_top_anom
use kinds
use constants
implicit none
private
real(default), dimension(27), public :: mass, width
real(default), public :: as
complex(default), public :: gs, igs, ig, unit, half
real(default), public :: e, g, e_em
real(default), public :: sinthw, costhw, sin2thw, tanthw
real(default), public :: qelep, qeup, qedwn
real(default), public :: ttop, tbot, tch, ttau, tw
real(default), public :: ltop, lbot, lc, ltau, lw
complex(default), public :: qlep, qup, qdwn, gcc, qw, &
gzww, gwww, ghww, ghhww, ghzz, ghhzz, &
ghbb, ghtt, ghcc, ghtautau, gh3, gh4, ghmm, &
iqw, igzww, igwww, gw4, gzzww, gazww, gaaww, &
gvl_qbub_n, gvl_qw, gvl_qw_u, gvl_qw_d, &
gsl_dttr, gsr_dttr, gsl_dttl, gsl_dbtl, &
c_quqd1_1, c_quqd1_2, c_quqd8_1, c_quqd8_2
real(default), public :: vev, lambda, gi_flag, norm_flag, norm, &
n_tvaa, n_vlrz, n_tvaz, n_vlrw, n_tlrw, n_tvag, n_sph
complex(default), dimension(2), public :: &
gncneu, gnclep, gncup, gncdwn, &
tvaa, tvaabb, vlrz, tvaz, tvazbb, vlrw, tlrw, tvag, sph, &
gvlr_qbub, gvlr_qbub_u, gvlr_qbub_d, gvlr_qbub_e, &
gvlr_qgug, gslr_dbtr
integer, public :: fun_flag
logical, public :: bz=.false., bw=.false., ba=.false.
public :: init_parameters, model_update_alpha_s, &
gmom, gtva_tta, gvlr_ttz, gtva_ttz, gvlr_btw, gvlr_tbw, &
gtlr_btw, gtrl_tbw, gtlr_btwz, gtrl_tbwz, gtlr_btwa, gtrl_tbwa, &
gtva_ttww, gtva_bba, gtva_bbz, gtva_bbww, &
gtva_ttg, gtva_ttgg, gsp_tth
real(default), parameter :: &
GF = 1.16639E-5_default ! Fermi constant
!!! This corresponds to 1/alpha = 137.03598949333
real(default), parameter :: &
alpha = 1.0_default/137.03598949333_default
complex(default), parameter :: &
alphas = 0.1178_default ! Strong coupling constant (Z point)
contains
subroutine init_parameters
tvaa(1) = 1
tvaa(2) = 1 * (0,1)
vlrz(1) = 1
vlrz(2) = 1
tvaz(1) = 1
tvaz(2) = 1 * (0,1)
vlrw(1) = 1 + 1 * (0,1)
vlrw(2) = 1 + 1 * (0,1)
tlrw(1) = 1 + 1 * (0,1)
tlrw(2) = 1 + 1 * (0,1)
tvag(1) = 1
tvag(2) = 1 * (0,1)
sph(1) = 0
sph(2) = 0
lambda = 2000
fun_flag = 0
! norm_flag = 1
gi_flag = 1
mass(1:27) = 0
width(1:27) = 0
! mass(3) = 0.095_default ! s-quark mass
! mass(4) = 1.2_default ! c-quark mass
! mass(5) = 4.2_default ! b-quark mass
! mass(6) = 173.1_default ! t-quark mass
! width(6) = 1.523_default ! t-quark width
! mass(11) = 0.000510997_default ! electron mass
! mass(13) = 0.105658389_default ! muon mass
! mass(15) = 1.77705_default ! tau-lepton mas
mass(23) = 91.1882_default ! Z-boson mass
width(23) = 2.443_default ! Z-boson width
mass(24) = 80.419_default ! W-boson mass
width(24) = 2.049_default ! W-boson width
mass(25) = 200._default ! Higgs mass
width(25) = 1.419_default ! Higgs width
ttop = 4.0_default * mass(6)**2 / mass(25)**2
tbot = 4.0_default * mass(5)**2 / mass(25)**2
tch = 4.0_default * mass(4)**2 / mass(25)**2
ttau = 4.0_default * mass(15)**2 / mass(25)**2
tw = 4.0_default * mass(24)**2 / mass(25)**2
! ltop = 4.0_default * mass(6)**2 / mass(23)**2
! lbot = 4.0_default * mass(5)**2 / mass(23)**2
! lc = 4.0_default * mass(4)**2 / mass(23)**2
! ltau = 4.0_default * mass(15)**2 / mass(23)**2
! lw = 4.0_default * mass(24)**2 / mass(23)**2
e_em = sqrt(4.0_default * PI * alpha)
vev = 1 / sqrt (sqrt (2.0_default) * GF) ! v (Higgs vev)
! costhw = mass(24) / mass(23) ! cos(theta-W)
costhw = 0.881901_default
sinthw = sqrt (1.0_default-costhw**2) ! sin(theta-W)
sin2thw = sinthw**2
tanthw = sinthw/costhw
! e = 2.0_default * sinthw * mass(24) / vev ! em-coupling (GF scheme)
e = 0.349196_default
qelep = - 1
qeup = 2.0_default / 3.0_default
qedwn = - 1.0_default / 3.0_default
g = e / sinthw
ig = cmplx (0.0_default, 1.0_default, kind=default) * g
unit = 1.0_default
half = 0.5_default
gcc = - g / 2 / sqrt (2.0_default)
gncneu(1) = - g / 2 / costhw * ( + 0.5_default)
gnclep(1) = - g / 2 / costhw * ( - 0.5_default - 2 * qelep * sin2thw)
gncup(1) = - g / 2 / costhw * ( + 0.5_default - 2 * qeup * sin2thw)
gncdwn(1) = - g / 2 / costhw * ( - 0.5_default - 2 * qedwn * sin2thw)
gncneu(2) = - g / 2 / costhw * ( + 0.5_default)
gnclep(2) = - g / 2 / costhw * ( - 0.5_default)
gncup(2) = - g / 2 / costhw * ( + 0.5_default)
gncdwn(2) = - g / 2 / costhw * ( - 0.5_default)
qlep = - e * qelep
qup = - e * qeup
qdwn = - e * qedwn
qw = e
iqw = (0,1)*qw
gzww = g * costhw
igzww = (0,1)*gzww
gwww = g
igwww = (0,1)*gwww
gw4 = gwww**2
gzzww = gzww**2
gazww = gzww * qw
gaaww = qw**2
ghww = mass(24) * g
ghhww = g**2 / 2.0_default
ghzz = mass(23) * g / costhw
ghhzz = g**2 / 2.0_default / costhw**2
ghtt = - mass(6) / vev
ghbb = - mass(5) / vev
ghcc = - mass(4) / vev
ghtautau = - mass(15) / vev
ghmm = - mass(13) / 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*alphas)
igs = cmplx (0.0_default, 1.0_default, kind=default) * gs
norm = vev / lambda**2
n_tvaa = e * norm
n_vlrz = mass(23) * norm / 2
n_tvaz = norm
n_vlrw = sqrt(2.0_default) * mass(24) * norm / 2
n_tlrw = sqrt(2.0_default) * norm / 2
n_tvag = gs * norm
n_sph = sqrt(0.5_default) * vev * norm
tvaabb(1) = 0.0_default
tvaabb(2) = 0.0_default
tvazbb(1) = 0.0_default
tvazbb(2) = 0.0_default
if ( gi_flag > 0. ) then
if ( abs(real(vlrw(1))) > 0. ) then
print *, "WARNING: gauge invariance and vanishing anomalous"
print *, " bbZ vector coupling implies a relation"
print *, " vl_ttZ ~ vl_tbW_Re ."
print *, " Inferring vl_ttZ from vl_tbW_Re and IGNORING any"
print *, " inconsistent values set!"
vlrz(1) = real(vlrw(1)) * sqrt(2.0_default) / costhw
print *, " vl_ttZ = ", real(vlrz(1))/n_vlrz
end if
if ( ( abs(real(tlrw(1))) > 0. ).or.( abs(aimag(tlrw(1))) > 0. ) ) then
print *, "WARNING: anomalous tbW tensor couplings are related to anomalous"
print *, " bbZ and bbA tensor couplings by gauge invariance:"
print *, " Inferring bottom couplings from tl_tbW"
tvaabb(1) = real(tlrw(1)) * sinthw / sqrt(2.0_default)
tvaabb(2) = aimag(tlrw(1))*(0,1) * sinthw / sqrt(2.0_default)
tvazbb(1) = real(tlrw(1)) * costhw / sqrt(2.0_default)
tvazbb(2) = aimag(tlrw(1))*(0,1) * costhw / sqrt(2.0_default)
print *, " tv_bbA = ", real(tvaabb(1))/n_tvaa
print *, " ta_bbA = ", aimag(tvaabb(2))/n_tvaa
print *, " tv_bbZ = ", real(tvazbb(1))/n_tvaz
print *, " ta_bbZ = ", aimag(tvazbb(2))/n_tvaz
end if
if ( ( abs(real(tvaz(1))) > 0. ).or.( abs(aimag(tvaz(2))) > 0. ) ) then
bz = .true.
end if
if ( ( abs(real(tlrw(2))) > 0. ).or.( abs(real(tlrw(2))) > 0. ) ) then
bw = .true.
end if
if ( ( abs(real(tvaa(1))) > 0. ).or.( abs(aimag(tvaa(2)))> 0. ) ) then
ba = .true.
end if
if ( bz.or.bw.or.ba ) then
print *, "WARNING: top anomalous tensor couplings to W, A and Z"
print *, " are interrelated by gauge invariance:"
print *, " Inferring Z couplings from W/A couplings according to"
print *, " the relation in the model file and IGNORING any inconsistent"
print *, " values set manually! (Exception: only tX_ttZ != 0:"
print *, " tr_tbW ~ tv_ttZ + i*ta_ttZ and tX_ttA = 0)"
if ( ( bw.and.bz ).and..not.ba ) then
tvaa(1) = ( real(tlrw(2)) - sqrt(2.0_default)*costhw*tvaz(1) ) / ( 2.0_default*sinthw )
tvaa(2) = ( aimag(tlrw(2))*(0,1) - sqrt(2.0_default)*costhw*tvaz(2) ) / ( 2.0_default*sinthw )
else if ( bz.and..not.bw ) then
tlrw(2) = sqrt(2.0_default)*costhw*( tvaz(1) + tvaz(2) ) + 2.0_default*sinthw*( tvaa(1) + tvaa(2) )
else
tvaz(1) = ( real(tlrw(2)) - 2.0_default*sinthw*tvaa(1) ) / ( sqrt(2.0_default)*costhw )
tvaz(2) = ( aimag(tlrw(2))*(0,1) - 2.0_default*sinthw*tvaa(2) ) / ( sqrt(2.0_default)*costhw )
end if
print *, " tv_ttA = ", real(tvaa(1))/n_tvaa
print *, " ta_ttA = ", aimag(tvaa(2))/n_tvaa
print *, " tv_ttZ = ", real(tvaz(1))/n_tvaz
print *, " ta_ttZ = ", aimag(tvaz(2))/n_tvaz
print *, " tr_tbW = ", real(tlrw(2))/n_tlrw, " + ", aimag(tlrw(2))/n_tlrw, "I"
end if
end if
gvlr_qgug(1) = 0
gvlr_qgug(2) = 0
gvlr_qbub(1) = 0
gvlr_qbub(2) = 0
gvlr_qbub_u(1) = 1.0_default / 3.0_default / 2
gvlr_qbub_u(2) = 4.0_default / 3.0_default / 2
gvlr_qbub_d(1) = 1.0_default / 3.0_default / 2
gvlr_qbub_d(2) = - 2.0_default / 3.0_default / 2
gvlr_qbub_e(1) = - 1.0_default / 2
gvlr_qbub_e(2) = - 2.0_default / 2
gvl_qbub_n = - 1.0_default / 2
gvl_qw = 0
gvl_qw_u = 0.5_default / 2
gvl_qw_d = - 0.5_default / 2
gsl_dttr = 0
gsr_dttr = 0
gsl_dttl = 0
gslr_dbtr(1) = 0
gslr_dbtr(2) = 0
gsl_dbtl = 0
c_quqd1_1 = 0
c_quqd1_2 = 0
c_quqd8_1 = 0
c_quqd8_2 = 0
end subroutine init_parameters
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
pure function gmom(k2, i, coeff, lam) result (c)
complex(default) :: c
real(default), intent(in) :: k2
integer, intent(in) :: i
complex(default), dimension(2), intent(in) :: coeff
real(default), intent(in) :: lam
select case (fun_flag)
case (0)
c = coeff(i)
case (1)
c = coeff(i) / (1.0_default + k2/lam**2)
case (2)
c = coeff(i) / (1.0_default + k2/lam**2)**2
case (3)
c = coeff(i) * exp(-k2/lam**2)
end select
end function gmom
pure function gtva_tta(k2, i) result (c)
complex(default) :: c
real(default), intent(in) :: k2
integer, intent(in) :: i
c = - gmom(k2, i, tvaa, lambda)
end function gtva_tta
pure function gtva_bba(k2, i) result (c)
complex(default) :: c
real(default), intent(in) :: k2
integer, intent(in) :: i
c = - gmom(k2, i, tvaabb, lambda)
end function gtva_bba
pure function gvlr_ttz(k2, i) result (c)
complex(default) :: c
real(default), intent(in) :: k2
integer, intent(in) :: i
c = - gmom(k2, i, vlrz, lambda)
end function gvlr_ttz
pure function gtva_ttz(k2, i) result (c)
complex(default) :: c
real(default), intent(in) :: k2
integer, intent(in) :: i
c = - gmom(k2, i, tvaz, lambda)
end function gtva_ttz
pure function gtva_bbz(k2, i) result (c)
complex(default) :: c
real(default), intent(in) :: k2
integer, intent(in) :: i
c = - gmom(k2, i, tvazbb, lambda)
end function gtva_bbz
pure function gvlr_btw(k2, i) result (c)
complex(default) :: c
real(default), intent(in) :: k2
integer, intent(in) :: i
c = - gmom(k2, i, vlrw, lambda)
end function gvlr_btw
pure function gvlr_tbw(k2, i) result (c)
complex(default) :: c
real(default), intent(in) :: k2
integer, intent(in) :: i
c = - gmom(k2, i, conjg(vlrw), lambda)
end function gvlr_tbw
pure function gtlr_btw(k2, i) result (c)
complex(default) :: c
real(default), intent(in) :: k2
integer, intent(in) :: i
c = - gmom(k2, i, tlrw, lambda)
end function gtlr_btw
pure function gtrl_tbw(k2, i) result (c)
complex(default) :: c
real(default), intent(in) :: k2
integer, intent(in) :: i
c = - gmom(k2, i, conjg(tlrw), lambda)
end function gtrl_tbw
pure function gtlr_btwa(k2, i) result (c)
complex(default) :: c
real(default), intent(in) :: k2
integer, intent(in) :: i
!!! don't touch this relative factor: fixed by ward identity!
c = - sinthw * gtlr_btw(k2, i)
end function gtlr_btwa
pure function gtrl_tbwa(k2, i) result (c)
complex(default) :: c
real(default), intent(in) :: k2
integer, intent(in) :: i
!!! don't touch this relative factor: fixed by ward identity!
c = - sinthw * gtrl_tbw(k2, i)
end function gtrl_tbwa
pure function gtlr_btwz(k2, i) result (c)
complex(default) :: c
real(default), intent(in) :: k2
integer, intent(in) :: i
!!! don't touch this relative factor: fixed by ward identity!
c = - costhw * gtlr_btw(k2, i)
end function gtlr_btwz
pure function gtrl_tbwz(k2, i) result (c)
complex(default) :: c
real(default), intent(in) :: k2
integer, intent(in) :: i
!!! don't touch this relative factor: fixed by ward identity!
c = - costhw * gtrl_tbw(k2, i)
end function gtrl_tbwz
pure function gtva_ttww(k2, i) result (c)
complex(default) :: c
real(default), intent(in) :: k2
integer, intent(in) :: i
!!! additional factor 2 wrt. ward relation to cancel explicit 1/2 in "gtlr"
select case (i)
case (1)
c = - sqrt(2.0_default) * real(gtlr_btw(k2, 2))
case (2)
c = - sqrt(2.0_default) * aimag(gtlr_btw(k2, 2)) * (0, 1)
end select
end function gtva_ttww
pure function gtva_bbww(k2, i) result (c)
complex(default) :: c
real(default), intent(in) :: k2
integer, intent(in) :: i
select case (i)
!!! additional factor 2 wrt. ward relation to cancel explicit 1/2 in "gtlr"
case (1)
c = - sqrt(2.0_default) * real(gtlr_btw(k2, 1))
case (2)
c = sqrt(2.0_default) * aimag(gtlr_btw(k2, 1)) * (0, 1)
end select
end function gtva_bbww
pure function gtva_ttg(k2, i) result (c)
complex(default) :: c
real(default), intent(in) :: k2
integer, intent(in) :: i
c = - gmom(k2, i, tvag, lambda)
end function gtva_ttg
pure function gtva_ttgg(k2, i) result (c)
complex(default) :: c
real(default), intent(in) :: k2
integer, intent(in) :: i
!!! don't touch this relative factor: fixed by ward identity!
c = - gtva_ttg(k2, i)
end function gtva_ttgg
pure function gsp_tth(k2, i) result (c)
complex(default) :: c
real(default), intent(in) :: k2
integer, intent(in) :: i
c = - gmom(k2, i, sph, lambda)
end function gsp_tth
end module parameters_sm_top_anom

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