Non-planar massless two-loop Feynman diagrams with four on-shell legs
arXiv:hep-ph/9909506 · doi:10.1016/S0370-2693(99)01277-0
Abstract
The non-planar Feynman diagram with seven massless, scalar propagators and four on-shell legs (the crossed double box) is calculated analytically in dimensional regularization. The non-planar diagram with six propagators is also discussed.
Latex, 10 pages; 5 .eps files included with graphicx package
References in corpus (1)
Cited by in corpus (260)
- New Relations for Gauge-Theory Amplitudes
- Higgs boson production at hadron colliders in NNLO QCD
- Differential Equations for Two-Loop Four-Point Functions
- High-precision QCD at hadron colliders: electroweak gauge boson rapidity distributions at NNLO
- Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
- Antenna Subtraction at NNLO
- An automatized algorithm to compute infrared divergent multi-loop integrals
- Magic identities for conformal four-point integrals
- Black Hole Binary Dynamics from the Double Copy and Effective Theory
- The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
- Automatized analytic continuation of Mellin-Barnes integrals
- Multi-loop Amplitudes and Resummation
- Quest for precision in hadronic cross sections at low energy: Monte Carlo tools vs. experimental data
- Nested Sums, Expansion of Transcendental Functions and Multi-Scale Multi-Loop Integrals
- Two-Loop Master Integrals for Jets: The planar topologies
- Quark and gluon form factors to three loops
- Fully differential Higgs boson production and the di-photon signal through next-to-next-to-leading order
- AMFlow: a Mathematica package for Feynman integrals computation via Auxiliary Mass Flow
- Two-Loop g -> gg Splitting Amplitudes in QCD
- Towards a Basis for Planar Two-Loop Integrals
- Perturbative Quantum Gravity and its Relation to Gauge Theory
- 50 Years of Quantum Chromodynamics
- Numerical evaluation of multi-loop integrals by sector decomposition
- The Two-Loop Hexagon Wilson Loop in N = 4 SYM
- Two-loop amplitudes and master integrals for the production of a Higgs boson via a massive quark and a scalar-quark loop
- Feynman Diagrams and Differential Equations
- Supersymmetric Regularization, Two-Loop QCD Amplitudes and Coupling Shifts
- Two-Loop Helicity Amplitudes for Gluon-Gluon Scattering in QCD and Supersymmetric Yang-Mills Theory
- Two-Loop Master Integrals for Jets: The non-planar topologies
- Two-loop QCD corrections to gluon-gluon scattering
- Sector Decomposition
- Gluon-Gluon Antenna Functions from Higgs Boson Decay
- Resolution of singularities for multi-loop integrals
- Quark-Gluon Antenna Functions from Neutralino Decay
- Two-Loop QCD Helicity Amplitudes for ~Jets
- The Two-Loop QCD Matrix Element for Jets
- Tops from Light Quarks: Full Mass Dependence at Two-Loops in QCD
- Is N = 8 Supergravity Ultraviolet Finite?
- On the Resolution of Singularities of Multiple Mellin-Barnes Integrals
- Toward a NNLO calculation of the B-->X_s+gamma decay rate with a cut on photon energy: II. Two-loop result for the jet function
- AMBRE - a Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals
- Magnus and Dyson Series for Master Integrals
- An Analytic Result for the Two-Loop Hexagon Wilson Loop in N = 4 SYM
- Four-Particle Phase Space Integrals in Massless QCD
- Two-loop QCD corrections to the scattering of massless distinct quarks
- FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions
- Two-loop QCD corrections to massless quark-gluon scattering
- FIESTA 2: parallelizeable multiloop numerical calculations
- The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory
- Collider Physics at the Precision Frontier
- The two-loop five-point amplitude in super-Yang-Mills theory
- Electroweak two-loop corrections to the effective weak mixing angle
- Cuts of Feynman Integrals in Baikov representation
- Hepta-Cuts of Two-Loop Scattering Amplitudes
- Ultraviolet properties of Maximal Supergravity
- Two-Loop Correction to Bhabha Scattering
- Isolating a light Higgs boson from the di-photon background at the LHC
- Master Integrals for Four-Loop Massless Propagators up to Transcendentality Weight Twelve
- Numerical evaluation of multi-loop integrals for arbitrary kinematics with SecDec 2.0
- Heavy-quark production in gluon fusion at two loops in QCD
- Two-Loop Iteration of Five-Point N=4 Super-Yang-Mills Amplitudes
- On the Integrand-Reduction Method for Two-Loop Scattering Amplitudes
- Universality in the classical limit of massless gravitational scattering
- Virtual amplitudes and threshold behaviour of hadronic top-quark pair-production cross sections
- Two-loop QCD corrections to massless identical quark scattering
- Single Scale Tadpoles and O(GF mt^2 as^3) Corrections to the rho Parameter
- Heavy-quark production in massless quark scattering at two loops in QCD
- Multiple Singular Emission in Gauge Theories
- Evaluating single-scale and/or non-planar diagrams by differential equations
- Two-loop QED and QCD corrections to massless fermion-boson scattering
- Analytic Results for Massless Three-Loop Form Factors
- Non-renormalisation Conditions in Type II String Theory and Maximal Supergravity
- On the Singularity Structure of Maximally Supersymmetric Scattering Amplitudes
- Three-mass triangle integrals and single-valued polylogarithms
- The tensor reduction and master integrals of the two-loop massless crossed box with light-like legs
- Two-Loop Helicity Amplitudes for Quark-Gluon Scattering in QCD and Gluino-Gluon Scattering in Supersymmetric Yang-Mills Theory
- Four-Loop Cusp Anomalous Dimension From Obstructions
- On the Generalized Harmonic Polylogarithms of One Complex Variable
- Inclusive Heavy Flavor Hadroproduction in NLO QCD: the Exact Analytic Result
- Two-Loop Helicity Amplitudes for Quark-Quark Scattering in QCD and Gluino-Gluino Scattering in Supersymmetric Yang-Mills Theory
- Analytical Result for Dimensionally Regularized Massive On-Shell Planar Double Box
- Multiloop corrections for collider processes using auxiliary mass flow
- Two-Loop Planar Corrections to Heavy-Quark Pair Production in the Quark-Antiquark Channel
- Complete electroweak two-loop corrections to Z boson production and decay
- Analytic Continuation of Massless Two-Loop Four-Point Functions
- The three-loop form factor in N=4 super Yang-Mills
- Eikonal methods applied to gravitational scattering amplitudes
- Multiple polylogarithms with algebraic arguments and the two-loop EW-QCD Drell-Yan master integrals
- NNLO Vertex Corrections in charmless hadronic B decays: Imaginary part
- Bootstrapping pentagon functions
- Relation between the pole and the minimally subtracted mass in dimensional regularization and dimensional reduction to three-loop order
- The two-loop electroweak bosonic corrections to
- Determining Feynman integrals with only input from linear algebra
- Master integrals for the NNLO virtual corrections to scattering in QED: the planar graphs
- Two-loop QCD helicity amplitudes for massless quark-massless gauge boson scattering
- Two-loop corrections to Light-by-Light scattering in Supersymmetric QED
- Analytical Evaluation of Dimensionally Regularized Massive On-Shell Double Boxes
- The Three-loop Quark Jet Function
- Two-loop QCD helicity amplitudes for massless quark-quark scattering
- Wilson line approach to gravity in the high energy limit
- NNLO corrections to inclusive semileptonic B decays in the shape-function region
- The Four-Loop Dressing Phase of N=4 SYM
- Progress in NNLO calculations for scattering processes
- Nine-Propagator Master Integrals for Massless Three-Loop Form Factors
- Master Integrals For Massless Two-Loop Vertex Diagrams With Three Offshell Legs
- NNLO fermionic corrections to the charm quark mass dependent matrix elements in B -> X_s gamma
- A numerical method for NNLO calculations
- Numerical evaluation of loop integrals
- Two-Loop Master Integrals for the mixed EW-QCD virtual corrections to Drell-Yan scattering
- A geometric method of sector decomposition
- Master Integrals for Fermionic Contributions to Massless Three-Loop Form Factors
- Determine Arbitrary Feynman Integrals by Vacuum Integrals
- All-loop infrared-divergent behavior of most-subleading-color gauge-theory amplitudes
- A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the iterated singly-unresolved subtraction terms
- Analytic Epsilon Expansions of Master Integrals Corresponding to Massless Three-Loop Form Factors and Three-Loop g-2 up to Four-Loop Transcendentality Weight
- The O(α_s^3 T_F^2) Contributions to the Gluonic Operator Matrix Element
- The Sudakov form factor at four loops in maximal super Yang-Mills theory
- Using differential equations to compute two-loop box integrals
- Analytical Result for Dimensionally Regularized Massless On-Shell Planar Triple Box
- Analytical Result for Dimensionally Regularized Massless Master Double Box with One Leg off Shell
- Planar box diagram for the (N_F = 1) 2-loop QED virtual corrections to Bhabha scattering
- Master Integrals for Massless Three-Loop Form Factors: One-Loop and Two-Loop Insertions
- Simplified differential equations approach for Master Integrals
- Mellin-Barnes representations of Feynman diagrams, linear systems of differential equations, and polynomial solutions
- Two-loop graviton scattering relation and IR behavior in N=8 supergravity
- Removing infrared divergences from two-loop integrals
- Four-point Amplitudes in N=8 Supergravity and Wilson Loops
- Analytic integration of real-virtual counterterms in NNLO jet cross sections II
- Analytical Result for Dimensionally Regularized Massless Master Non-planar Double Box with One Leg off Shell
- A Two-Loop Octagon Wilson Loop in N = 4 SYM
- On the factorization of overlapping singularities at NNLO
- Two-loop QED Operator Matrix Elements with Massive External Fermion Lines
- New Dual Conformally Invariant Off-Shell Integrals
- Four-loop corrections with two closed fermion loops to fermion self energies and the lepton anomalous magnetic moment
- The three-loop equal-mass banana integral in -factorised form with meromorphic modular forms
- Multiple Series Representations of -fold Mellin-Barnes Integrals
- Four-Loop Tadpoles: Applications in QCD
- Two-Loop Fermionic Corrections to Massive Bhabha Scattering
- Small-mass effects in heavy-to-light form factors
- Four-graviton scattering to three loops in supergravity
- Classical vs Quantum Eikonal Scattering and its Causal Structure
- The FORM project
- Four-Loop Collinear Anomalous Dimension in N = 4 Yang-Mills Theory
- FeynGKZ: a Mathematica package for solving Feynman integrals using GKZ hypergeometric systems
- The massless hexagon integral in D = 6 dimensions
- The R*-operation for Feynman graphs with generic numerators
- Higgs boson contribution to the leading two-loop Yukawa corrections to
- The Dimensional Recurrence and Analyticity Method for Multicomponent Master Integrals: Using Unitarity Cuts to Construct Homogeneous Solutions
- Duality between Wilson loops and gluon amplitudes
- Soft gluon emission at two loops in full color
- Electroweak prodution of top-quark pairs in e+e- annihilation at NNLO in QCD: the vector contributions
- Three-loop on-shell Feynman integrals with two masses
- Bosonic Corrections to The Effective Weak Mixing Angle at O(alpha^2)
- HYPERDIRE: HYPERgeometric functions DIfferential REduction: MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: and Horn-type hypergeometric functions of three variables
- Moments of heavy quark correlators with two masses: exact mass dependence to three loops
- The Two-Loop Four-Graviton Scattering Amplitudes
- Multivariate Residues and Maximal Unitarity
- GKZ-hypergeometric systems for Feynman integrals
- Massive planar and non-planar double box integrals for light Nf contributions to gg->tt
- The two-loop vector form factor in the Sudakov limit
- Bhabha scattering at NNLO with next-to-soft stabilisation
- Four-loop wave function renormalization in QCD and QED
- On the all-order epsilon-expansion of generalized hypergeometric functions with integer values of parameters
- Multiple (inverse) binomial sums of arbitrary weight and depth and the all-order epsilon-expansion of generalized hypergeometric functions with one half-integer value of parameter
- Two-Loop Master Integrals for : the Planar Topologies
- Fermionic Corrections to the Three-Loop Matching Coefficient of the Vector Current
- Fermionic corrections to the interference of the electro- and chromomagnetic dipole operators in anti-B --> X(s) gamma at O(alpha(s)**2)
- Locally finite two-loop amplitudes for off-shell multi-photon production in electron-positron annihilation
- NumExp: Numerical epsilon expansion of hypergeometric functions
- One-loop QCD corrections to quark scattering at NNLO
- MBsums - a Mathematica package for the representation of Mellin-Barnes integrals by multiple sums
- Two-loop amplitudes for processes and at large Higgs transverse momentum
- Next-to-next-to-leading order QCD corrections to the photon's parton structure
- Numerical multi-loop integrals and applications
- NNLO corrections to 2-jet observables in electron-positron annihilation
- High-Energy Expansion of Two-Loop Massive Four-Point Diagrams
- Unitarity Cuts of Integrals with Doubled Propagators
- Automatic computation of Feynman integrals containing linear propagators via auxiliary mass flow
- Building Bases of Loop Integrands
- On a two-loop crossed six-line master integral with two massive lines
- Master integrals for the NNLO virtual corrections to scattering in QCD: the non-planar graphs
- The Four Dimensional Helicity Scheme Beyond One Loop
- The Leading Power Regge Asymptotic Behaviour of Dimensionally Regularized Massless On-Shell Planar Triple Box
- Global Residues and Two-Loop Hepta-Cuts
- MB Tools reloaded
- Dimensional recurrence relations: an easy way to evaluate higher orders of expansion in
- Projected transverse momentum resummation in top-antitop pair production at LHC
- On the Numerical Evaluation of Loop Integrals With Mellin-Barnes Representations
- Decoupling of heavy quarks in HQET
- Non-planarity through unitarity in ABJM
- Efficient Evaluation of Massive Mellin--Barnes Integrals
- Radiative-nonrecoil corrections of order alpha^2 (Z alpha)^5 to the Lamb shift
- Evaluating multiloop Feynman integrals by Mellin-Barnes representation
- Evaluating Feynman integrals by the hypergeometry
- IR divergences and Regge limits of subleading-color contributions to the four-gluon amplitude in N=4 SYM Theory
- Regulating loops in de Sitter spacetime
- Two-loop master integrals for non-leptonic heavy-to-heavy decays
- Two-loop planar master integrals for the production of off-shell vector bosons in hadron collisions
- The system of partial differential equations for the function
- Reduction and evaluation of two-loop graphs with arbitrary masses
- Progress towards 2 to 2 scattering at two-loops
- Integrated negative geometries in ABJM
- General massive one-loop off-shell three-point functions
- Towards Systematic Evaluation of de Sitter Correlators via Generalized Integration-By-Parts Relations
- Evaluating Two-Loop massive Operator Matrix Elements with Mellin-Barnes Integrals
- The Full-Color Two-Loop Four-Gluon Amplitude in Super-QCD
- N=4 Super-Yang-Mills Theory, QCD and Collider Physics
- HepLib: A C++ Library for High Energy Physics
- One-loop N-point equivalence among negative-dimensional, Mellin-Barnes and Feynman parametrization approaches to Feynman integrals
- Recent Progress in Perturbative Quantum Field Theory
- FaRe: a Mathematica package for tensor reduction of Feynman integrals
- Covariant calculation of a two-loop test of nonrelativistic QCD factorization
- Hidden Beauty in Multiloop Amplitudes
- New prospects for the numerical calculation of Mellin-Barnes integrals in Minkowskian kinematics
- Feynman Integrals from Positivity Constraints
- Multiple Mellin-Barnes integrals with straight contours
- Mellin-Barnes meets Method of Brackets: A novel approach to Mellin-Barnes representations of Feynman integrals
- The Two-Loop Infrared Structure of Amplitudes with Mixed Gauge Groups
- Loop lessons from Wilson loops in N=4 supersymmetric Yang-Mills theory
- Radiative Corrections to the Azimuthal Asymmetry in Transversely Polarized Moller Scattering
- Massive two-loop four-point Feynman integrals at high energies with AsyInt
- New proofs for the two Barnes lemmas and an additional lemma
- Evaluating the three-loop static quark potential
- Some recent results on evaluating Feynman integrals
- Evaluating double and triple (?) boxes
- Planar two-loop master integrals for massive Bhabha scattering: N_f=1 and N_f=2
- Applications of Subleading-color Amplitudes in N=4 SYM Theory
- Two-Loop Diagrammatics in a Self-Dual Background
- Learning Feynman integrals from differential equations with neural networks
- GKZ hypergeometric systems of the three-loop vacuum Feynman integrals
- Two-loop Doubly Massive Four-Point Amplitude Involving a half-BPS and Konishi Operator
- Non-planar double-box, massive and massless pentabox Feynman integrals in negative dimensional approach
- Virtual Hadronic Corrections to Massive Bhabha Scattering
- Some methods to evaluate complicated Feynman integrals
- QCD at high energy
- On the EFT of Conformal Symmetry Breaking
- The and spectra in top-antitop hadroproduction at NNLL+NNLO: the interplay of soft-collinear resummation and Coulomb singularities
- Electroweak double-box integrals for Moller scattering
- Jet Physics at Two-Loop Accuracy
- All-loop-orders relation between Regge limits of SYM and supergravity four-point amplitudes
- NNLO jet cross sections by subtraction
- The four-propagator three-loop vacuum integral by the hypergeometry
- Integral Reduction by Unitarity Method for Two-loop Amplitudes: A Case Study
- QCD Corrections to the Radiative Decay B -> X_s gamma
- Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes
- Two-Loop QCD-EW Master Integrals for Z Plus Jet Production at Large Transverse Momentum
- Parton densities and structure functions at next-to-next-to-leading order and beyond
- Three-loop helicity amplitudes for four-quark scattering in massless QCD
- A new method for finding more symmetry relations of Feynman integrals
- Higher Order Corrections in Perturbative Quantum Chromo Dynamics
- Jet physics at hadron colliders
- QCD two-loop amplitudes for e+e- --> 3 jets: the fermionic contribution
- Applications of QCD
- Scattering amplitudes for e^+e^- --> 3 jets at next-to-next-to-leading order QCD
- Evaluating master integrals in non-factorizable corrections to -channel single-top production at NNLO QCD
- Two-loop corrections to
- Mixed QCD-EW corrections to -pair production at electron-positron colliders
- Massive particle production to NNLO in QCD
- QCD at High Energy
- GKZ hypergeometric systems of the four-loop vacuum Feynman integrals