f̄ f WITH REALISTIC CUTS

Semi - analytical calculation of QED radiative corrections to e + e − → f̄ f with special emphasis on kinematical cuts to the final state

ar X iv : h ep - p h / 99 02 40 8 v 3 1 2 M ay 1 99 9 HARD - PHOTON EMISSION IN e + e − → f̄ f WITH REALISTIC CUTS

We derive compact analytical formulae of the Bonneau-Martin type for the reaction e + e − → ¯ f f γ with cuts on minimal energy and acollinearity of the fermions, where the photons may be emitted both from the initial or final states. Soft-photon exponentiation is also taken into account. One of the cleanest scattering processes at elementary particle accelerators is fermion-pair production in ...

ALPGEN, a generator for hard multiparton processes in hadronic collisions

This paper presents a new event generator, ALPGEN, dedicated to the study of multiparton hard processes in hadronic collisions. The code performs, at the leading order in QCD and EW interactions, the calculation of the exact matrix elements for a large set of parton-level processes of interest in the study of the Tevatron and LHC data. The current version of the code describes the following fin...

Functional Inversion for Potentials in Quantum Mechanics

Let E = F (v) be the ground-state eigenvalue of the Schrödinger Hamiltonian H = −∆ + vf(x), where the potential shape f(x) is symmetric and monotone increasing for x > 0, and the coupling parameter v is positive. If the kinetic potential f̄(s) associated with f(x) is defined by the transformation f̄(s) = F ′(v), s = F (v) − vF ′(v), then f can be reconstructed from F by the sequence f [n+1] = f̄ ◦...

A Note on the Cancellation Properties of Semistar Operations

If D is an integral domain with quotient field K, then let F̄(D) be the set of non-zero D-submodules of K, F(D) be the set of non-zero fractional ideals of D and f(D) be the set of non-zero finitely generated D-submodules of K. A semistar operation ? on D is called arithmetisch brauchbar (or a.b.) if, for every H ∈ f(D) and every H1, H2 ∈ F̄(D), (HH1) ? = (HH2) ? implies H 1 = H ? 2 , and ? is ca...