Single mass scale diagrams: construction of a basis for the $\epsilon$-expansion

  title={Single mass scale diagrams: construction of a basis for the \$\epsilon\$-expansion},
  author={J.Fleischer and M.Yu.Kalmykov},
8 Citations
On a two-loop crossed six-line master integral with two massive lines
We compute the two-loop crossed six-line vertex master integral with two massive lines in dimensional regularisation, and give the result up to the finite part in D−4. We apply the differential
Effective potential at three loops
I present the effective potential at three-loop order for a general renormalizable theory, using the \MSbar renormalization scheme and Landau gauge fixing. As applications and illustrative points of
Evaluation of the general three-loop vacuum Feynman integral
A set of modified finite basis integrals that are particularly convenient for expressing renormalized quantities are defined that can be computed numerically by solving coupled first-order differential equations, using as boundary conditions the analytically known special cases that depend on only one mass scale.
Renormalized ε -finite master integrals and their virtues: The three-loop self-energy case
Loop diagram calculations typically rely on reduction to a finite set of master integrals in 4− 2ǫ dimensions. It has been shown that for any problem, the masters can be chosen so that their
Standard model parameters in the tadpole-free pure MS¯ scheme
We present an implementation and numerical study of the Standard Model couplings, masses, and vacuum expectation value (VEV), using the pure $\overline{\rm{MS}}$ renormalization scheme based on
Multiple (inverse) binomial sums of arbitrary weight and depth and the all-order ε-expansion of generalized hypergeometric functions with one half-integer value of parameter
We continue the study of the construction of analytical coefficients of the ?-expansion of hypergeometric functions and their connection with Feynman diagrams. In this paper, we show the following
Hypergeometric Functions and Feynman Diagrams
The relationship between Feynman diagrams and hypergeometric functions is discussed. Special attention is devoted to existing techniques for the constructionof the Y-expansion. As an example, we
Subleading power resummation of rapidity logarithms: the energy-energy correlator in $$ \mathcal{N} $$ = 4 SYM
We derive and solve renormalization group equations that allow for the resummation of subleading power rapidity logarithms. Our equations involve operator mixing into a new class of operators, which