output
19952025
most citedFIRE5: a C++ implementation of Feynman Integral REduction

428 citations

Showing 2006Show all

6 papers · 1 filter

hep-ph2006★ 22 cited

Decoupling of heavy quarks in HQET

A. G. Grozin, A. V. Smirnov, V. A. Smirnov

Decoupling of c-quark loops in b-quark HQET is considered. The decoupling coefficients for the HQET heavy-quark field and the heavy-light quark current are calculated with the thre…

hep-ph2006★ 18 cited

S-bases as a tool to solve reduction problems for Feynman integrals

A. V. Smirnov, V. A. Smirnov

We suggest a mathematical definition of the notion of master integrals and present a brief review of algorithmic methods to solve reduction problems for Feynman integrals based on…

math.AG2006★ 10 cited

Endomorphisms of superelliptic jacobians

Yuri G. Zarhin

Let K be a field of characteristic zero, n>4 an integer, f(x) an irreducible polynomial over K of degree n, whose Galois group is doubly transitive simple non-abelian group. Let p…

cs.OH2006★ 14 cited

A unifying framework for seed sensitivity and its application to subset seeds (Extended abstract)

Gregory Kucherov, Laurent Noe, Mikhail Roytberg

We propose a general approach to compute the seed sensitivity, that can be applied to different definitions of seeds. It treats separately three components of the seed sensitivity…

hep-ph2006★ 26 cited

An Algorithm to Construct Groebner Bases for Solving Integration by Parts Relations

A. V. Smirnov

This paper is a detailed description of an algorithm based on a generalized Buchberger algorithm for constructing Groebner-type bases associated with polynomials of shift operators…

cs.DS2006★ 64 cited

A unifying framework for seed sensitivity and its application to subset seeds

Gregory Kucherov, Laurent Noé, Mihkail Roytberg

We propose a general approach to compute the seed sensitivity, that can be applied to different definitions of seeds. It treats separately three components of the seed sensitivity…