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19982023
most citedLiteRed 1.4: a powerful tool for the reduction of the multiloop integrals

549 citations · 2.7k across the 57 of their papers we have counts for

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Showing 2018Show all

7 papers · 1 filter

hep-ph2018

Massive quark form factors

Roman N. Lee, Alexander V. Smirnov, Vladimir A. Smirnov +1

In this contribution we provide further details to the recent calculation of QCD corrections to massive three-loop form factors presented in Ref. [1].

hep-ph2018★ 17 cited

Symmetric - and -forms and quadratic constraints in "elliptic" sectors

Roman N. Lee

Within the differential equation method for multiloop calculations, we examine the systems irreducible to -form. We argue that for many cases of such systems it is possible to o…

hep-ph2018★ 43 cited

Evaluating `elliptic' master integrals at special kinematic values: using differential equations and their solutions via expansions near singular points

Roman N. Lee, Alexander V. Smirnov, Vladimir A. Smirnov

This is a sequel of our previous paper where we described an algorithm to find a solution of differential equations for master integrals in the form of an -expansion series with…

hep-ph2018★ 29 cited

Three-loop massive form factors: complete light-fermion and large- corrections for vector, axial-vector, scalar and pseudo-scalar currents

Roman N. Lee, Alexander V. Smirnov, Vladimir A. Smirnov +1

We compute the three-loop QCD corrections to the massive quark form factors with external vector, axial-vector, scalar and pseudo-scalar currents. All corrections with closed loops…

hep-ph2018★ 19 cited

Three-loop massive form factors: complete light-fermion corrections for the vector current

Roman N. Lee, Alexander V. Smirnov, Vladimir A. Smirnov +1

We compute the three-loop QCD corrections to the massive quark-anti-quark-photon form factors and involving a closed loop of massless fermions. This subset is gauge inv…

hep-ph2018★ 7 cited

DREAM, a program for arbitrary-precision computation of dimensional recurrence relations solutions, and its applications

Roman N. Lee, Kirill T. Mingulov

We present the Mathematica package DREAM for arbitrarily high precision computation of multiloop integrals within the DRA (Dimensional Recurrence & Analyticity) method as solutions…

hep-ph2018★ 3 cited

Meromorphic solutions of recurrence relations and DRA method for multicomponent master integrals

Roman N. Lee, Kirill T. Mingulov

We formulate a method to find the meromorphic solutions of higher-order recurrence relations in the form of the sum over poles with coefficients defined recursively. Several explic…