Next-to-leading Order Parton Model Calculations in the Massless Schwinger Model
نویسندگان
چکیده
We carry out next-to-leading order (NLO) parton model calculations for the standard hard “QCD” processes in the massless Schwinger model. The asymptotic expansion of the exact result for the deep inelastic cross section is used to infer the NLO distribution function. These distribution functions are then used to calculate the NLO Drell-Yan parton model cross section and it is found to agree with the corresponding term in the expansion of the exact result for the Drell-Yan cross section. Finally, by using the bosonization formula and the exact solutions we study the interference between different partonic processes. E-mail address: [email protected] E-mail address: [email protected] E-mail address: [email protected]
منابع مشابه
Lepton-antilepton Annihilation in the Massless Schwinger Model
We evaluate the next-to-leading order radiative corrections to a process in the massless Schwinger model that is the analogue of the ee inclusive annihilation into hadrons process in QCD. We then carry out an asymptotic expansion of the calculable exact result and find that it agrees with the perturbative answer. However, we also find that higher orders in the asymptotic expansion involve terms...
متن کاملFour - Particle Phase Space Integrals in Massless QCD
The inclusive four-particle phase space integral of any 1 → 4 matrix element in massless QCD contains divergences due to the soft and collinear emission of up to two particles in the final state. We show that any term appearing in this phase space integral can be expressed as linear combination of only four master integrals. These four master integrals are all computed in dimensional regularisa...
متن کاملCorrelation Functions in the Schwinger Model at Zero and Finite Temperature
The general correlations between massless fermions are calculated in the Schwinger model at arbitrary temperature. The zero temperature calculations on the plane are reviewed and clarified. Then the finite temperature fermionic Green's function is computed and the results on the torus are compared to those on the plane. It is concluded that a simpler way to calculate the finite temperature resu...
متن کاملThe phases of two-dimensional QED and QCD
The semi-classical phase structure of two-dimensional QED and QCD are briefly reviewed. The non-abelian theory is reformulated to closely resemble the Schwinger model. It is shown that, contrary to the abelian theory, the phase structure of two-dimensional QCD is unaffected by the structure of the theta vacuum. We make parallel calculations in the two theories and conclude that massless Schwing...
متن کاملDouble Parton Scattering in Associate Higgs Boson Production with Bottom Quarks at Hadron Colliders
Higgs boson production in association with bottom quarks, is one of the most important discovery channels for Higgs particles in the Standard Model (SM) and its supersymmetric extension at the LHC pp collider . The theoretical prediction of the corresponding cross section has been improved by including the complete next-to-leading order QCD corrections. We review the status results for the lead...
متن کامل