Kinematics of electron–proton collisions

Abstract

Kinematics of electron–proton collisions are presented for massless and massive parton constituents and outgoing leptons.

LEPTO 6.5 — A Monte Carlo generator for deep inelastic lepton-nucleon scattering

“…the one without a P Z dependence in eq. (11), dominates completely at low Q 2 , and the cross section then takes the familiar form measured in fixed target electron and muon beam experiments…”

“…Hence, only the pure Z 0 contribution remains in eqs. (11,12) with ν − Z 0 vector and axial vector couplings, v ν and a ν [19].…”

“…can be included as an option (see LST (11)) using the formalism for photon exchange. The cross section in eq.…”

“…(25,26) can be performed for each event at its proper x and Q 2 -value. Since this tends to be time-consuming another option (see LST (11)) is to initially (in LINIT) set up a grid in x, Q 2 with their values and then perform a linear interpolation to the desired x, Q 2 when simulating events. The latter method is preferrable and gives almost the same precision under normal conditions.…”

“…Used together with DCROSS for cross section integration. FLTABL (S) called from LINIT to tabulate integrals in x, Q 2 -grid for the longitudinal structure function, see LST (11). FLIPOL (S) called from LEPTOX to obtain longitudinal structure function from interpolation on grid from FLTABL, see LST (11).…”