4.5 Article

PV-reduction of sunset topology with auxiliary vector

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Physics, Particles & Fields

Analytic tadpole coefficients of one-loop integrals

Bo Feng et al.

Summary: By applying differential operators on an auxiliary vector, we established differential equations for tadpole coefficients and transformed them into recurrence relations for undetermined tensor coefficients. Solving these recurrence relations iteratively allows us to obtain analytic expressions of tadpole coefficients for arbitrary one-loop integrals.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Astronomy & Astrophysics

One-loop Feynman integral reduction by differential operators

Chang Hu et al.

Summary: In this paper, we present a complete integral reduction method for one-loop integrals, inspired by previous research. The differential operator method can easily provide analytic expressions of all reduction coefficients of the master integrals.

PHYSICAL REVIEW D (2021)

Article Computer Science, Interdisciplinary Applications

FIRE6: Feynman Integral REduction with modular arithmetic

A. Smirnov et al.

COMPUTER PHYSICS COMMUNICATIONS (2020)

Article Physics, Particles & Fields

Multi-Loop Techniques for Massless Feynman Diagram Calculations

A. V. Kotikov et al.

PHYSICS OF PARTICLES AND NUCLEI (2019)

Article Computer Science, Interdisciplinary Applications

Kira-A Feynman integral reduction program

P. Maierhoefer et al.

COMPUTER PHYSICS COMMUNICATIONS (2018)

Article Computer Science, Interdisciplinary Applications

FIRE5: A C++ implementation of Feynman Integral REduction

A. V. Smirnov

COMPUTER PHYSICS COMMUNICATIONS (2015)

Proceedings Paper Computer Science, Theory & Methods

LiteRed 1.4: a powerful tool for reduction of multiloop integrals

Roman N. Lee

15TH INTERNATIONAL WORKSHOP ON ADVANCED COMPUTING AND ANALYSIS TECHNIQUES IN PHYSICS RESEARCH (ACAT2013) (2014)

Article Physics, Multidisciplinary

Multiloop Integrals in Dimensional Regularization Made Simple

Johannes M. Henn

PHYSICAL REVIEW LETTERS (2013)

Article Astronomy & Astrophysics

Towards a basis for planar two-loop integrals

Janusz Gluza et al.

PHYSICAL REVIEW D (2011)

Article Physics, Particles & Fields

Masses, fermions and generalized D-dimensional unitarity

R. Keith Ellis et al.

NUCLEAR PHYSICS B (2009)

Article Physics, Particles & Fields

Algorithm FIRE - Feynman Integral REduction

A. V. Smirnov

JOURNAL OF HIGH ENERGY PHYSICS (2008)

Article Physics, Particles & Fields

Scalar one-loop integrals for QCD

R. Keith Ellis et al.

JOURNAL OF HIGH ENERGY PHYSICS (2008)

Article Physics, Particles & Fields

Numerical evaluation of six-photon amplitudes

Giovanni Ossola et al.

JOURNAL OF HIGH ENERGY PHYSICS (2007)

Article Astronomy & Astrophysics

Direct extraction of one-loop integral coefficients

Darren Forde

PHYSICAL REVIEW D (2007)

Article Physics, Particles & Fields

Unitarity cuts and reduction to master integrals in d dimensions for one-loop amplitudes

Charalampos Anastasiou et al.

JOURNAL OF HIGH ENERGY PHYSICS (2007)

Article Physics, Particles & Fields

Reducing full one-loop amplitudes to scalar integrals at the integrand level

Giovanni Ossola et al.

NUCLEAR PHYSICS B (2007)

Article Astronomy & Astrophysics

d-dimensional unitarity cut method

Charalampos Anastasiou et al.

PHYSICS LETTERS B (2007)

Article Physics, Particles & Fields

Reduction schemes for one-loop tensor integrals

A Denner et al.

NUCLEAR PHYSICS B (2006)

Article Physics, Particles & Fields

Generalized unitarity and one-loop amplitudes in N=4 super-Yang-Mills

R Britto et al.

NUCLEAR PHYSICS B (2005)

Article Astronomy & Astrophysics

One-loop amplitudes of gluons in supersymmetric QCD

R Britto et al.

PHYSICAL REVIEW D (2005)

Article Physics, Particles & Fields

Two-loop vertices in quantum field theory: infrared convergent scalar configurations

A Ferroglia et al.

NUCLEAR PHYSICS B (2004)

Article Physics, Particles & Fields

Two-loop tensor integrals in quantum field theory

S Actis et al.

NUCLEAR PHYSICS B (2004)

Article Physics, Particles & Fields

Reduction method for dimensionally regulatedone-loop N-point Feynman integrals

G Duplancic et al.

EUROPEAN PHYSICAL JOURNAL C (2004)

Article Physics, Particles & Fields

Reduction of one-loop tensor 5-point integrals

A Denner et al.

NUCLEAR PHYSICS B (2003)

Review Physics, Particles & Fields

An approach toward the numerical evaluation of multi-loop Feynman diagrams

G Passarino

NUCLEAR PHYSICS B (2001)

Article Physics, Particles & Fields

Reduction formalism for dimensionally regulated one-loop N-point integrals

T Binoth et al.

NUCLEAR PHYSICS B (2000)

Article Physics, Particles & Fields

Algebraic reduction of one-loop Feynman graph amplitudes

J Fleischer et al.

NUCLEAR PHYSICS B (2000)