Compositeness scenarios may give rise to sharp resonances of excited
quarks and leptons. An excited copy of the first generation is
implemented, consisting of spin 1/2 particles. The possibility of
contact interactions between SM fermions is also implemented in the
context of 2 → 2 quark or fermion-lepton scattering.
Related to excited fermions, the current implementation contains gauge
interaction production by quark-gluon fusion or lepton-photon fusion
and contact interaction production by quark-quark or quark-antiquark
scattering. For both the 2 → 1 and 2 → 2 processes
a non-trivial angular dependence is included in the decay, however,
only decays into gauge bosons are supported, i.e. not decays through
contact interactions. In additions to the compositeness scale and couplings
listed below, you are expected to change the excited-fermion masses in
accordance with what is desired. See [Bau90] for conventions.
The contact interactions are implemented according to [Eic83].
The processes include the SM contributions as well as interference.
For this reason the processes below converge toward the SM equivalents
when the contact interaction contributions are close to zero, e.g.
HardQCD:qq2qq and HardQCD:qqbar2qqbarNew in
the case of quark scattering.
It should also be noted that the gamma*/Z/Z' production process
available with NewGaugeBoson:ffbar2gmZZprime is prepared for
pair-production of excited quarks and leptons, assuming the same gauge
couplings as for the non-excited fermions. What is missing is the
actual decay channels in the list of Z' decay modes, which
have to be added by hand, e.g. by
32:addChannel = 1 1. 100 4000001 -4000001
You can use Zprime:gmZmode to decide which gauge boson
propagators actually are included in the simulation, and thus e.g.
switch off the Z' part of the propagator. You may also want to
switch off other decay channels and set the minimal mass to be at the
threshold for the studied pair production (or suitably below it,
if the excited fermions have a non-negligible width).
Excited fermions, production processes
A few different production processes have been implemented, which normally
would not overlap and therefore could be run together.
flag ExcitedFermion:all
(default = off)
Common switch for the group of implemented processes that produce an
excited fermion.
flag ExcitedFermion:dg2dStar
(default = off)
Scatterings d g → d^*.
Code 4001.
flag ExcitedFermion:ug2uStar
(default = off)
Scatterings u g → u^*.
Code 4002.
flag ExcitedFermion:sg2sStar
(default = off)
Scatterings s g → s^*.
Code 4003.
flag ExcitedFermion:cg2cStar
(default = off)
Scatterings c g → c^*.
Code 4004.
flag ExcitedFermion:bg2bStar
(default = off)
Scatterings b g → b^*.
Code 4005.
flag ExcitedFermion:egm2eStar
(default = off)
Scatterings e gamma → e^*.
Code 4011.
flag ExcitedFermion:mugm2muStar
(default = off)
Scatterings mu gamma → mu^*.
Code 4013.
flag ExcitedFermion:taugm2tauStar
(default = off)
Scatterings tau gamma → tau^*.
Code 4015.
flag ExcitedFermion:qq2dStarq
(default = off)
Scatterings q q(bar) → d^* q(bar).
Code 4021.
flag ExcitedFermion:qq2uStarq
(default = off)
Scatterings q q(bar) → u^* q(bar).
Code 4022.
flag ExcitedFermion:qq2sStarq
(default = off)
Scatterings q q(bar) → s^* q(bar).
Code 4023.
flag ExcitedFermion:qq2cStarq
(default = off)
Scatterings q q(bar) → c^* q(bar).
Code 4024.
flag ExcitedFermion:qq2bStarq
(default = off)
Scatterings q q(bar) → b^* q(bar).
Code 4025.
flag ExcitedFermion:qqbar2eStare
(default = off)
Scatterings q qbar → e^*+- e^-+.
Code 4031.
flag ExcitedFermion:qqbar2nueStarnue
(default = off)
Scatterings q qbar → nu_e^* nu_ebar.
Code 4032.
flag ExcitedFermion:qqbar2muStarmu
(default = off)
Scatterings q qbar → mu^*+- mu^-+.
Code 4033.
flag ExcitedFermion:qqbar2numuStarnumu
(default = off)
Scatterings q qbar → nu_mu^* nu_mubar.
Code 4034.
flag ExcitedFermion:qqbar2tauStartau
(default = off)
Scatterings q qbar → tau^*+- tau^-+.
Code 4035.
flag ExcitedFermion:qqbar2nutauStarnutau
(default = off)
Scatterings q qbar → nu_tau^* nu_taubar.
Code 4036.
flag ExcitedFermion:qqbar2eStareStar
(default = off)
Scatterings q qbar → e^*+- e^*-+.
Code 4051.
flag ExcitedFermion:qqbar2nueStarnueStar
(default = off)
Scatterings q qbar → nu_e^* nu_e^*bar.
Code 4052.
flag ExcitedFermion:qqbar2muStarmuStar
(default = off)
Scatterings q qbar → mu^*+- mu^*-+.
Code 4053.
flag ExcitedFermion:qqbar2numuStarnumuStar
(default = off)
Scatterings q qbar → nu_mu^* nu_mu^*bar.
Code 4054.
flag ExcitedFermion:qqbar2tauStartauStar
(default = off)
Scatterings q qbar → tau^*+- tau^*-+.
Code 4055.
flag ExcitedFermion:qqbar2nutauStarnutauStar
(default = off)
Scatterings q qbar → nu_tau^* nu_tau^*bar.
Code 4056.
Excited fermions, parameters
The basic couplings of the model are
parm ExcitedFermion:Lambda
(default = 1000.; minimum = 100.)
Compositeness scale Lambda in GeV.
parm ExcitedFermion:coupF
(default = 1.0; minimum = 0.0)
Strength f of the SU(2) coupling.
parm ExcitedFermion:coupFprime
(default = 1.0; minimum = 0.0)
Strength f' of the U(1) coupling.
parm ExcitedFermion:coupFcol
(default = 1.0; minimum = 0.0)
Strength f_c of the SU(3) coupling.
parm ExcitedFermion:contactDec
(default = 1.0; minimum = 0.0)
Strength of contact-interaction decay channels, implemented as
three-body decays l^* → l f fbar for excited leptons
and neutrinos, where unity corresponds to the same normalization
as for the production channels.
Contact interactions, production processes
The processes including contact interactions are
flag ContactInteractions:QCqq2qq
(default = off)
Scatterings q q → q q including contact interactions.
Code 4201.
flag ContactInteractions:QCqqbar2qqbar
(default = off)
Scatterings q qbar → q' qbar' including contact interactions.
Code 4202.
flag ContactInteractions:QCffbar2eebar
(default = off)
Scatterings f fbar → e- e+ including contact interactions.
Code 4203.
flag ContactInteractions:QCffbar2mumubar
(default = off)
Scatterings f fbar → mu- mu+ including contact interactions.
Code 4204.
flag ContactInteractions:QCffbar2tautaubar
(default = off)
Scatterings f fbar → tau- tau+ including contact interactions.
Code 4205.
Contact interactions, parameters
mode ContactInteractions:nQuarkNew
(default = 3; minimum = 0; maximum = 5)
Number of allowed outgoing new quark flavours in the above
q qbar → q' qbar' process. Similar to HardQCD:nQuarkNew
for the QCD processes.
parm ContactInteractions:Lambda
(default = 1000.; minimum = 100.)
Compositeness scale Lambda in GeV. Its overall normalization
is largely a matter of convention. The choice made here for the
q qbar → l- l+ processes is such that the pure contact
interaction part of the left-left interactions (i.e. disregarding
gamma^*, Z^0 and interference terms) has the form
d(sigmaHat)/d(tHat) = pi * uHat^2 / (3 * sHat^2 * Lambda^4).
The corresponding part of the q qbar → q' qbar' cross section
is a factor 3 larger from colour.
mode ContactInteractions:etaLL
(default = 0; minimum = -1; maximum = 1)
Helicity parameter.
option 1 :
option 0 :
option -1 :
mode ContactInteractions:etaRR
(default = 0; minimum = -1; maximum = 1)
Helicity parameter.
option 1 :
option 0 :
option -1 :
mode ContactInteractions:etaLR
(default = 0; minimum = -1; maximum = 1)
Helicity parameter.
option 1 :
option 0 :
option -1 :
mode ContactInteractions:etaRL
(default = 0; minimum = -1; maximum = 1)
Helicity parameter. Implemented only for the q qbar → l-
l+ process. option 1 :