The adiabatic semiclassical perturbation theory for vibrationally inelastic scattering. I. Collinear calculations

1979 ◽  
Vol 71 (3) ◽  
pp. 1426-1432 ◽  
Author(s):  
R. J. Cross
Keyword(s):  
Perturbation Theory ◽  
Inelastic Scattering

scholarly journals TWIST-THREE DISTRIBUTION f⊥(x, k⊥) IN LIGHT-FRONT HAMILTONIAN APPROACH

2011 ◽  
Vol 26 (35) ◽  
pp. 2653-2662 ◽  
Author(s):  
A. MUKHERJEE ◽  
R. KORRAPATI
Keyword(s):  
Perturbation Theory ◽  
Inelastic Scattering ◽  
Deep Inelastic Scattering ◽  
The State ◽  
Light Front ◽  
Hamiltonian Approach ◽  
Gluon Interaction

We calculate the twist-three distribution f⊥(x, k⊥) contributing to Cahn effect in unpolarized semi-inclusive deep inelastic scattering. We use light-front Hamiltonian technique and take the state to be a dressed quark at one-loop in perturbation theory. The "genuine twist-three" contribution comes from the quark–gluon interaction part in the operator and is explicitly calculated. f⊥(x, k⊥) is compared with f1(x, k⊥).

High-Energy Inelastic Scattering of Electrons in Perturbation Theory

1969 ◽  
Vol 185 (5) ◽  
pp. 1748-1753 ◽  
Author(s):  
R. Jackiw ◽  
G. Preparata
Keyword(s):  
Perturbation Theory ◽  
Inelastic Scattering ◽  
High Energy

scholarly journals On next to soft threshold corrections to DIS and SIA processes

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
A. H. Ajjath ◽  
Pooja Mukherjee ◽  
V. Ravindran ◽  
Aparna Sankar ◽  
Surabhi Tiwari
Keyword(s):  
Perturbation Theory ◽  
Inelastic Scattering ◽  
Deep Inelastic Scattering ◽  
Strong Coupling ◽  
Cross Sections ◽  
Strong Coupling Constant ◽  
Renormalisation Group ◽  
Coupling Constant ◽  
Parton Level ◽  
Soft Threshold

Abstract We study the perturbative structure of threshold enhanced logarithms in the coefficient functions of deep inelastic scattering (DIS) and semi-inclusive e+e− annihilation (SIA) processes and setup a framework to sum them up to all orders in perturbation theory. Threshold logarithms show up as the distributions ((1−z)−1 logi(1−z))+ from the soft plus virtual (SV) and as logarithms logi(1−z) from next to SV (NSV) contributions. We use the Sudakov differential and the renormalisation group equations along with the factorisation properties of parton level cross sections to obtain the resummed result which predicts SV as well as next to SV contributions to all orders in strong coupling constant. In Mellin N space, we resum the large logarithms of the form logi(N) keeping 1/N corrections. In particular, the towers of logarithms, each of the form $$ {a}_s^n/{N}^{\alpha }{\log}^{2n-\alpha }(N),{a}_s^n/{N}^{\alpha }{\log}^{2n-1-\alpha }(N)\cdots $$ a s n / N α log 2 n − α N , a s n / N α log 2 n − 1 − α N ⋯ etc for α = 0, 1, are summed to all orders in as.

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