The cleanest processes for searching for leptoquarks are the
inclusive reactions and
.
In general, the leptoquark amplitudes can interfere with
the standard model amplitudes due to photon and Z-boson
exchange, or W-boson exchange.
The total squared amplitudes for the parton processes
(
), averaged over the quark spins, takes the
form
where ,
and
denote the
photon, Z-boson and leptoquark amplitudes respectively.
The subscripts L and R refer to left-handed and
right-handed polarized electrons respectively.
A similar formula holds for the processes
(
).
The differential cross-sections for the inclusive processes
or
can be computed using
where A is given by equation 1,
is the probability of finding quark q
[anti-quark
] with momentum fraction x at QCD
scale
inside the proton and s is the total ep
centre-of-mass energy squared.
The sum runs over the quark flavours d, u, s and c.
The above formalism applies to all resonances considered in
this generator.
Cross-sections for the following types of processes have been coded.
where LQ represents a generic leptoquark, LG a generic
leptogluon and a generic squark.
For any of these process the polarization of the lepton
beam may be specified.
Initial state electromagnetic radiation off the lepton,
, may also be included in any of
the above processes (see section 2.2.1 for the
implementation).
The user may select from amongst the following event types:
The interference contribution is not present for
leptogluons.
For event type 2 the /LUJETS/ and /HEPEVT/ common blocks are filled
with a resonance for the propagator and a quark state for the
proton remnant.
In event types 0 and 3 the appropriate virtual vector boson
is used.
The proton remnant is given a small transverse momentum
according to a gaussian distribution.
Resonance production from valence and sea quarks are
allowed (u- and d-quarks only) and the DIS background
includes s- and c-quark contributions.