activity
20042021
most citedAll order epsilon-expansion of Gauss hypergeometric functions with integer and half/integer values of parameters

55 citations · 82 across the 6 of their papers we have counts for

collaborators

8 papers

hep-ph2021★ 1 cited

IR-Improved Amplitude-Based Resummation in Quantum Field Theory: New Results and New Issues

B. F. L. Ward, S. Jadach, W. Placzek +3

With the advancement of strategies for the precision physics programs for the HL-LHC, FCC-ee, FCC-hh, ILC, CLIC, CEPC, and CPPC, the need for proper control of the attendant theore…

hep-ph2018

Recent IR-Improved results for LHC/FCC physics

B. F. L. Ward, Aditi Mukhopadhyay, Bahram Shakerin +2

We present recent developments in the theory and application of IR-improved QEDQCD resummation methods, realized by MC event generator methods, for LHC and FCC physics sce…

hep-ph2013

Comparisons of Predictions from Exact Amplitude-Based Resummation Methods with LHC and Cosmological Data

B. F. L. Ward, S. K. Majhi, A. Mukhopadhyay +1

We present the current status of the comparisons with the respective data of the predictions of our approach of exact amplitude-based resummation in quantum field theory in two are…

math-ph2011★ 15 cited

The Epsilon Expansion of Feynman Diagrams via Hypergeometric Functions and Differential Reduction

S. A. Yost, V. V. Bytev, M. Yu. Kalmykov +2

Higher-order diagrams required for radiative corrections to mixed electroweak and QCD processes at the LHC and anticipated future colliders will require numerically stable represen…

math-ph2011

Differential Reduction Techniques for the Evaluation of Feynman Diagrams

S. A. Yost, V. V. Bytev, M. Yu. Kalmykov +2

Stable reduction methods will be important in the evaluation of high-order perturbative diagrams appearing in QCD and mixed QCD-electroweak radiative corrections at the LHC. Differ…

hep-th2009★ 8 cited

Feynman Diagrams, Differential Reduction, and Hypergeometric Functions

M. Yu. Kalmykov, V. V. Bytev, Bernd A. Kniehl +2

We will present some (formal) arguments that any Feynman diagram can be understood as a particular case of a Horn-type multivariable hypergeometric function. The advantages and dis…

hep-th2007★ 55 cited

All order epsilon-expansion of Gauss hypergeometric functions with integer and half/integer values of parameters

M. Yu. Kalmykov, B. F. L. Ward, S. Yost

It is proved that the Laurent expansion of the following Gauss hypergeometric functions, 2F1(I1+a*epsilon, I2+b*ep; I3+c*epsilon;z), 2F1(I1+a*epsilon, I2+b*epsilon;I3+1/2+c*epsilon…

hep-ph2004★ 3 cited

Threshold Corrections in QED otimes QCD at the LHC

B. F. L. Ward, C. Glosser, S. Jadach +1

In some processes at the LHC, theoretical precisions of 1 percent are desired. With an eye toward such precisions, we introduce the theory of the simultaneous YFS resummation of QE…