55 citations · 89 across the 5 of their papers we have counts for
6 papers
Prediction for the Cosmological Constant in Resummed Quantum Gravity and Constraints on SUSY GUT's
B. F. L. Ward
We use our resummed quantum gravity approach to Einstein's general theory of relativity in the context of the Planck scale cosmology formulation of Bonanno and Reuter to estimate t…
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…
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…
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…
Hypergeometric functions, their epsilon expansions and Feynman diagrams
M. Yu. Kalmykov, Bernd A. Kniehl, B. F. L. Ward +1
We review the hypergeometric function approach to Feynman diagrams. Special consideration is given to the construction of the Laurent expansion. As an illustration, we describe a c…
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…