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⊥).

Light front Hamiltonian for boson form of QED (1 + 1) in Pauli–Villars regularization

2019 ◽  
Vol 34 (21) ◽  
pp. 1950113
Author(s):  
V. A. Franke ◽  
M. Yu. Malyshev ◽  
S. A. Paston ◽  
E. V. Prokhvatilov ◽  
M. I. Vyazovsky
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Chiral Condensate ◽  
Light Front ◽  
Coupling Constants ◽  
Hamiltonian Approach ◽  
Chiral Perturbation ◽  
Dimensional Models ◽  
Villars Regularization ◽  
Ultraviolet Regularization

Light front (LF) Hamiltonian for QED in [Formula: see text] dimensions is constructed using the boson form of this model with additional Pauli–Villars-type ultraviolet regularization. Perturbation theory, generated by this LF Hamiltonian, is proved to be equivalent to usual covariant chiral perturbation theory. The obtained LF Hamiltonian depends explicitly on chiral condensate parameters which enter in a form of some renormalization of coupling constants. The obtained results can be useful when one attempts to apply LF Hamiltonian approach for [Formula: see text]-dimensional models like QCD.

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.

t-dependence in “diffractive” deep inelastic scattering: a case for “colour-filtered” perturbation theory

2000 ◽  
Vol 479 (1-3) ◽  
pp. 29-32
Author(s):  
L. Dick ◽  
V. Karapetian ◽  
G. Lo Iacono ◽  
G. Preparata ◽  
L. Nitti
Keyword(s):  
Perturbation Theory ◽  
Inelastic Scattering ◽  
Deep Inelastic Scattering

scholarly journals Investigation into the limits of perturbation theory at low Q2 using HERA deep inelastic scattering data

2017 ◽  
Vol 96 (1) ◽  
Author(s):  
I. Abt ◽  
A. M. Cooper-Sarkar ◽  
B. Foster ◽  
V. Myronenko ◽  
K. Wichmann ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
Inelastic Scattering ◽  
Deep Inelastic Scattering ◽  
Scattering Data ◽  
Deep Inelastic Scattering Data
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