Computer Physics Communications, ISSN 0010-4655, 05/2017, Volume 214, pp. 140 - 173

We present the 95 program Â for the perturbative computation of next-to-leading-order transition amplitudes in the Standard Model of particle physics. The code...

NLO computations | One-loop amplitudes | Higher orders | INTEGRALS | ELECTROWEAK CORRECTIONS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | UNITARITY | PACKAGE | PHYSICS, MATHEMATICAL

NLO computations | One-loop amplitudes | Higher orders | INTEGRALS | ELECTROWEAK CORRECTIONS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | UNITARITY | PACKAGE | PHYSICS, MATHEMATICAL

Journal Article

Annales Henri Poincare, ISSN 1424-0637, 06/2017, Volume 18, Issue 6, pp. 2199 - 2249

In this work, we argue that the limit of closed string theory scattering amplitudes is a tropical limit. The motivation is to develop a technology to...

SCATTERING-AMPLITUDES | YANG-MILLS | COSMOLOGICAL CONSTANT | PHYSICS, MULTIDISCIPLINARY | FIELD-THEORY | WORLDLINE GREEN-FUNCTIONS | PHYSICS, MATHEMATICAL | ONE-LOOP AMPLITUDES | MODULI SPACE | 2-LOOP SUPERSTRINGS | SLICE INDEPENDENCE | GEOMETRY | PHYSICS, PARTICLES & FIELDS | String theory

SCATTERING-AMPLITUDES | YANG-MILLS | COSMOLOGICAL CONSTANT | PHYSICS, MULTIDISCIPLINARY | FIELD-THEORY | WORLDLINE GREEN-FUNCTIONS | PHYSICS, MATHEMATICAL | ONE-LOOP AMPLITUDES | MODULI SPACE | 2-LOOP SUPERSTRINGS | SLICE INDEPENDENCE | GEOMETRY | PHYSICS, PARTICLES & FIELDS | String theory

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 10/2008, Volume 78, Issue 8

We present an identity satisfied by the kinematic factors of diagrams describing the tree amplitudes of massless gauge theories. This identity is a kinematic...

FACTORIZATION | YANG-MILLS | UNITARITY | ASTRONOMY & ASTROPHYSICS | ONE-LOOP AMPLITUDES | JETS | N=8 SUPERGRAVITY | 2-LOOP MASTER INTEGRALS | GRAVITY | STRING THEORY | TREE AMPLITUDES | PHYSICS, PARTICLES & FIELDS

FACTORIZATION | YANG-MILLS | UNITARITY | ASTRONOMY & ASTROPHYSICS | ONE-LOOP AMPLITUDES | JETS | N=8 SUPERGRAVITY | 2-LOOP MASTER INTEGRALS | GRAVITY | STRING THEORY | TREE AMPLITUDES | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 07/2007, Volume 2007, Issue 7, pp. 085 - 85

We apply the recently proposed amplitude reduction at the integrand level method, to the computation of the scatter in g process 2 gamma -> 4 gamma, including...

Standard model | QCD | Hadronic colliders | NLO computations | GAUGE-THEORY AMPLITUDES | INTEGRALS | standard model | ELECTROWEAK CORRECTIONS | REDUCTION | RATIONAL PARTS | UNITARITY | CHARGED-CURRENT | ONE-LOOP AMPLITUDES | hadronic colliders | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Phenomenology

Standard model | QCD | Hadronic colliders | NLO computations | GAUGE-THEORY AMPLITUDES | INTEGRALS | standard model | ELECTROWEAK CORRECTIONS | REDUCTION | RATIONAL PARTS | UNITARITY | CHARGED-CURRENT | ONE-LOOP AMPLITUDES | hadronic colliders | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Phenomenology

Journal Article

Physics Letters B, ISSN 0370-2693, 11/2012, Volume 718, Issue 1, pp. 173 - 177

We show that the evaluation of scattering amplitudes can be formulated as a problem of multivariate polynomial division, with the components of the...

Scattering amplitudes | Polynomial division | Unitarity | ASTRONOMY & ASTROPHYSICS | ONE-LOOP AMPLITUDES | SYSTEMS | PHYSICS, NUCLEAR | PHYSICS, PARTICLES & FIELDS | Algorithms | Universities and colleges | Poles | Residues | Theorems | Elementary particles | Scattering amplitude | Division | Recursive | Constraining

Scattering amplitudes | Polynomial division | Unitarity | ASTRONOMY & ASTROPHYSICS | ONE-LOOP AMPLITUDES | SYSTEMS | PHYSICS, NUCLEAR | PHYSICS, PARTICLES & FIELDS | Algorithms | Universities and colleges | Poles | Residues | Theorems | Elementary particles | Scattering amplitude | Division | Recursive | Constraining

Journal Article

Physical Review D, ISSN 2470-0010, 05/2016, Volume 93, Issue 9

Many state-of-the-art QCD calculations for multileg processes use helicity amplitudes as their fundamental ingredients. We construct a simple and easy-to-use...

2-LOOP QCD CORRECTIONS | PLUS 2 JETS | GAUGE-THEORIES | HIGGS-BOSON PRODUCTION | JET CROSS-SECTIONS | VIRTUAL CORRECTIONS | ASTRONOMY & ASTROPHYSICS | ONE-LOOP AMPLITUDES | HIGHER-ORDER CORRECTIONS | MULTIPLE BREMSSTRAHLUNG | RADIATIVE-CORRECTIONS | PHYSICS, PARTICLES & FIELDS | Matching | Operators | Construction | Theorems | Amplitudes | Ingredients | Mathematical models | Helicity

2-LOOP QCD CORRECTIONS | PLUS 2 JETS | GAUGE-THEORIES | HIGGS-BOSON PRODUCTION | JET CROSS-SECTIONS | VIRTUAL CORRECTIONS | ASTRONOMY & ASTROPHYSICS | ONE-LOOP AMPLITUDES | HIGHER-ORDER CORRECTIONS | MULTIPLE BREMSSTRAHLUNG | RADIATIVE-CORRECTIONS | PHYSICS, PARTICLES & FIELDS | Matching | Operators | Construction | Theorems | Amplitudes | Ingredients | Mathematical models | Helicity

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 4/2012, Volume 2012, Issue 4, pp. 1 - 36

We present a method for the computation of hepta-cuts of two loop scattering amplitudes. Four dimensional unitarity cuts are used to factorise the integrand...

QCD | Scattering Amplitudes | Supersymmetric gauge theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | INTEGRALS | REDUCTION | UNITARITY | QCD CORRECTIONS | ONE-LOOP AMPLITUDES | TREE AMPLITUDES | PHYSICS, PARTICLES & FIELDS

QCD | Scattering Amplitudes | Supersymmetric gauge theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | INTEGRALS | REDUCTION | UNITARITY | QCD CORRECTIONS | ONE-LOOP AMPLITUDES | TREE AMPLITUDES | PHYSICS, PARTICLES & FIELDS

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 2002, Volume 642, Issue 1, pp. 227 - 262

We compute the two-loop QCD helicity amplitudes for the process e e â†’ qqÌ„g. The amplitudes are extracted in a scheme-independent manner from the coefficients...

CROSS-SECTIONS | FACTORIZATION | DOUBLE BOX | ALGORITHM | ONE-LOOP AMPLITUDES | NUMERICAL EVALUATION | MASTER INTEGRALS | SOFT | E+E | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Phenomenology

CROSS-SECTIONS | FACTORIZATION | DOUBLE BOX | ALGORITHM | ONE-LOOP AMPLITUDES | NUMERICAL EVALUATION | MASTER INTEGRALS | SOFT | E+E | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Phenomenology

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 4/2018, Volume 2018, Issue 4, pp. 1 - 22

The novel massive spinor-helicity formalism of Arkani-Hamed, Huang and Huang provides an elegant way to calculate scattering amplitudes in quantum...

Space-Time Symmetries | Scattering Amplitudes | Perturbative QCD | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SCATTERING-AMPLITUDES | CROSS-SECTIONS | SIMPLIFYING ALGEBRA | MULTIPLE BREMSSTRAHLUNG | RECURSION RELATION | SPINOR-HELICITY | TREE AMPLITUDES | FEYNMAN GRAPHS | ONE-LOOP AMPLITUDES | GAUGE | PHYSICS, PARTICLES & FIELDS | Quarks | Amplitudes | Gluons | Helicity | Quantum chromodynamics

Space-Time Symmetries | Scattering Amplitudes | Perturbative QCD | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SCATTERING-AMPLITUDES | CROSS-SECTIONS | SIMPLIFYING ALGEBRA | MULTIPLE BREMSSTRAHLUNG | RECURSION RELATION | SPINOR-HELICITY | TREE AMPLITUDES | FEYNMAN GRAPHS | ONE-LOOP AMPLITUDES | GAUGE | PHYSICS, PARTICLES & FIELDS | Quarks | Amplitudes | Gluons | Helicity | Quantum chromodynamics

Journal Article

Journal of High Energy Physics, ISSN 1029-8479, 7/2019, Volume 2019, Issue 7, pp. 1 - 22

We present a method for building physical projector operators for multi-leg helicity amplitudes. For any helicity configuration of the external particles, we...

NLO Computations | QCD Phenomenology | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | FEYNMAN-INTEGRALS | UNITARITY | PARTS | ONE-LOOP AMPLITUDES | DIFFERENTIAL-EQUATIONS | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Projectors | Operators | Tensors | Amplitudes | Helicity

NLO Computations | QCD Phenomenology | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | FEYNMAN-INTEGRALS | UNITARITY | PARTS | ONE-LOOP AMPLITUDES | DIFFERENTIAL-EQUATIONS | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Projectors | Operators | Tensors | Amplitudes | Helicity

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 12/2016, Volume 2016, Issue 12, pp. 1 - 46

Several problems in computer algebra can be efficiently solved by reducing them to calculations over finite fields. In this paper, we describe an algorithm for...

Scattering Amplitudes | Perturbative QCD | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | NLO | ONE-LOOP CALCULATIONS | LIBRARY | GOLEM95C | INTEGRAND REDUCTION | PHYSICS, PARTICLES & FIELDS | Algebra | Algorithms | Reconstruction | Mathematical analysis | Rational functions | Exact solutions | Scattering amplitude | Computing time | Helicity | High Energy Physics - Phenomenology | Nuclear and High Energy Physics | High Energy Physics - Theory

Scattering Amplitudes | Perturbative QCD | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | NLO | ONE-LOOP CALCULATIONS | LIBRARY | GOLEM95C | INTEGRAND REDUCTION | PHYSICS, PARTICLES & FIELDS | Algebra | Algorithms | Reconstruction | Mathematical analysis | Rational functions | Exact solutions | Scattering amplitude | Computing time | Helicity | High Energy Physics - Phenomenology | Nuclear and High Energy Physics | High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 05/2017, Volume 2017, Issue 5, p. 1

In this paper we consider tree-level gauge invariant off-shell amplitudes (Wilson line form factors) in N = 4 SYM with arbitrary number of off-shell gluons or...

Integrable Field Theories | Scattering Amplitudes | Extended Supersymmetry | Supersymmetric Gauge Theory | HIGH-ENERGY FACTORIZATION | SCATTERING-AMPLITUDES | QCD | ONE-LOOP | PHYSICS, PARTICLES & FIELDS | Nuclear physics | Research institutes | Operators (mathematics) | Amplitudes | Gluons | Inverse scattering | Integrals | Scattering | Form factors | Invariants | Physics - High Energy Physics - Theory

Integrable Field Theories | Scattering Amplitudes | Extended Supersymmetry | Supersymmetric Gauge Theory | HIGH-ENERGY FACTORIZATION | SCATTERING-AMPLITUDES | QCD | ONE-LOOP | PHYSICS, PARTICLES & FIELDS | Nuclear physics | Research institutes | Operators (mathematics) | Amplitudes | Gluons | Inverse scattering | Integrals | Scattering | Form factors | Invariants | Physics - High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 02/2019, Volume 2019, Issue 2

We construct new representations of tree-level amplitudes in D-dimensional gauge theories with deformations via higher-mass-dimension operators alpha (') F (3)...

Gauge Symmetry | Scattering Amplitudes | Bosonic Strings | UNITARITY | ONE-LOOP AMPLITUDES | GRAVITY | STRING THEORY | TREE AMPLITUDES | PHYSICS, PARTICLES & FIELDS

Gauge Symmetry | Scattering Amplitudes | Bosonic Strings | UNITARITY | ONE-LOOP AMPLITUDES | GRAVITY | STRING THEORY | TREE AMPLITUDES | PHYSICS, PARTICLES & FIELDS

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 2005, Volume 715, Issue 1, pp. 499 - 522

We present new recursion relations for tree amplitudes in gauge theory that give very compact formulas. Our relations give any tree amplitude as a sum over...

GAUGE-THEORY | CROSS-SECTIONS | QCD | ONE-LOOP | SCATTERING | PHYSICS, PARTICLES & FIELDS

GAUGE-THEORY | CROSS-SECTIONS | QCD | ONE-LOOP | SCATTERING | PHYSICS, PARTICLES & FIELDS

Journal Article

Physical Review Letters, ISSN 0031-9007, 10/2017, Volume 119, Issue 14, p. 142001

We present the first numerical computation of two-loop amplitudes based on the unitarity method. As a proof of principle, we compute the four-gluon process in...

C++ | PHYSICS, MULTIDISCIPLINARY | ONE-LOOP AMPLITUDES | IMPLEMENTATION | FEYNMAN INTEGRAL REDUCTION | LEVEL | SCATTERING

C++ | PHYSICS, MULTIDISCIPLINARY | ONE-LOOP AMPLITUDES | IMPLEMENTATION | FEYNMAN INTEGRAL REDUCTION | LEVEL | SCATTERING

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 11/2018, Volume 2018, Issue 11, pp. 1 - 32

We compute a complete set of independent leading-color two-loop five-parton amplitudes in QCD. These constitute a fundamental ingredient for the...

Scattering Amplitudes | Perturbative QCD | INTEGRALS | QCD CORRECTIONS | ONE-LOOP AMPLITUDES | GLUON SCATTERING | PHYSICS, PARTICLES & FIELDS | Colliders (Nuclear physics) | Amplitudes | Fermions | Computation | Integrals | Color | Floating point arithmetic | Regularization | Helicity | Quantum chromodynamics

Scattering Amplitudes | Perturbative QCD | INTEGRALS | QCD CORRECTIONS | ONE-LOOP AMPLITUDES | GLUON SCATTERING | PHYSICS, PARTICLES & FIELDS | Colliders (Nuclear physics) | Amplitudes | Fermions | Computation | Integrals | Color | Floating point arithmetic | Regularization | Helicity | Quantum chromodynamics

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 09/2015, Volume 92, Issue 6

We construct an expression for the n-point one-loop graviton scattering amplitude with a single negative helicity external leg using an augmented recursion...

GAUGE-THEORY | UNITARITY | ASTRONOMY & ASTROPHYSICS | GRAVITATIONAL WAVES | ONE-LOOP AMPLITUDES | GENERAL RELATIVITY | TREE AMPLITUDES | PHYSICS, PARTICLES & FIELDS | Gravitation | Construction | Amplitudes | Scattering amplitude | Cosmology | Recursion | Helicity | Gravitons | Physics - High Energy Physics - Theory

GAUGE-THEORY | UNITARITY | ASTRONOMY & ASTROPHYSICS | GRAVITATIONAL WAVES | ONE-LOOP AMPLITUDES | GENERAL RELATIVITY | TREE AMPLITUDES | PHYSICS, PARTICLES & FIELDS | Gravitation | Construction | Amplitudes | Scattering amplitude | Cosmology | Recursion | Helicity | Gravitons | Physics - High Energy Physics - Theory

Journal Article

Physics Letters B, ISSN 0370-2693, 03/2018, Volume 778, Issue C, pp. 43 - 47

We discuss the impact of chiral symmetry constraints on the quark-mass dependence of meson resonance pole positions, which are encoded in non-perturbative...

Lattice QCD | Light mesons | Resonances | Chiral symmetries | PERTURBATION-THEORY | ASTRONOMY & ASTROPHYSICS | ONE LOOP | PHYSICS, NUCLEAR | PI-PI SCATTERING | VECTOR-MESONS | PHYSICS, PARTICLES & FIELDS | Phenomenology | High Energy Physics - Lattice | High Energy Physics | Nuclear Theory | ddc:530 | 530 Physik | Physics | Lattice

Lattice QCD | Light mesons | Resonances | Chiral symmetries | PERTURBATION-THEORY | ASTRONOMY & ASTROPHYSICS | ONE LOOP | PHYSICS, NUCLEAR | PI-PI SCATTERING | VECTOR-MESONS | PHYSICS, PARTICLES & FIELDS | Phenomenology | High Energy Physics - Lattice | High Energy Physics | Nuclear Theory | ddc:530 | 530 Physik | Physics | Lattice

Journal Article