## 8 Citations

On a two-loop crossed six-line master integral with two massive lines

- Mathematics
- 2009

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

- Physics
- 2017

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

- Computer Science
- 2017

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

- PhysicsPhysical Review D
- 2022

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

- PhysicsPhysical Review D
- 2019

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

- Mathematics
- 2007

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

- MathematicsTexts & Monographs in Symbolic Computation
- 2021

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

- Physics
- 2019

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…