Two-Loop Hexa-Box Integrals for Non-Planar Five-Point One-Mass Processes

Abstract

We present the calculation of the three distinct non-planar hexa-box topologies for five-point one-mass processes. These three topologies are required to obtain the two-loop virtual QCD corrections for two-jet-associated W, Z or Higgs-boson production. Each topology is solved by obtaining a pure basis of master integrals and efficiently constructing the associated differential equation with numerical sampling and unitarity-cut techniques. We present compact expressions for the alphabet of these non-planar integrals, and discuss some properties of their symbol. Notably, we observe that the extended Steinmann relations are in general not satisfied. Finally, we solve the differential equations in terms of generalized power series and provide high-precision values in different regions of phase space which can be used as boundary conditions for subsequent evaluations.

References in corpus (22)

• Classical Polylogarithms for Amplitudes and Wilson Loops
• Lectures on differential equations for Feynman integrals
• Scattering amplitudes over finite fields and multivariate functional reconstruction
• FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs
• Bootstrapping a Five-Loop Amplitude Using Steinmann Relations
• Reducing differential equations for multiloop master integrals
• Analytic Form of the Planar Two-Loop Five-Parton Scattering Amplitudes in QCD
• Iterative structure of finite loop integrals
• Analytic Form of the Planar Two-Loop Five-Gluon Scattering Amplitudes in QCD
• Sharpening The Leading Singularity
• NNLO QCD corrections to three-photon production at the LHC
• Multiloop corrections for collider processes using auxiliary mass flow
• Two-loop QCD corrections to $Wb\bar{b}$ production at hadron colliders
• The two-loop five-point amplitude in $\mathcal{N}=8$ supergravity
• Leading-Color Two-Loop QCD Corrections for Three-Jet Production at Hadron Colliders
• Two-loop helicity amplitudes for diphoton plus jet production in full color
• Non-planar master integrals for the production of two off-shell vector bosons in collisions of massless partons
• Two-loop leading-colour QCD helicity amplitudes for Higgs boson production in association with a bottom-quark pair at the LHC
• The two-loop five-particle amplitude in $\mathcal{N}=8$ supergravity
• Two-loop leading colour QCD corrections to $q\bar{q}\to \gamma \gamma g$ and $qg\to \gamma \gamma q$
• Two-loop leading-colour QCD helicity amplitudes for two-photon plus jet production at the LHC
• Bootstrapping a Two-Loop Four-Point Form Factor

Cited by in corpus (33)

• Pentagon Functions for One-Mass Planar Scattering Amplitudes
• Leading-Color Two-Loop Amplitudes for Four Partons and a W Boson in QCD
• Bootstrapping a Stress-Tensor Form Factor through Eight Loops
• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Landau Singularities Revisited: Computational Algebraic Geometry for Feynman Integrals
• What is the $i\epsilon$ for the S-matrix?
• Two-Loop Master Integrals for Leading-Color $pp\to t\bar{t}H$ Amplitudes with a Light-Quark Loop
• Antipodal Self-Duality for a Four-Particle Form Factor
• Two-loop master integrals for a planar topology contributing to $pp\to t\bar{t}j$
• Constraints on Sequential Discontinuities from the Geometry of On-shell Spaces
• A first look at the function space for planar two-loop six-particle Feynman integrals
• Full-colour double-virtual amplitudes for associated production of a Higgs boson with a bottom-quark pair at the LHC
• Two-Loop Five-Point Two-Mass Planar Integrals and Double Lagrangian Insertions in a Wilson Loop
• Evaluation of multi-loop multi-scale Feynman integrals for precision physics
• Numerical evaluation of two-loop QCD helicity amplitudes for $gg\to t\bar{t}g$ at leading colour
• One-loop hexagon integral to higher orders in the dimensional regulator
• Computational challenges for multi-loop collider phenomenology
• SOFIA: Singularities of Feynman Integrals Automatized
• All Two-Loop Feynman Integrals for Five-Point One-Mass Scattering
• A first computation of three-loop master integrals for the production of two off-shell vector bosons with different masses
• Double virtual QCD corrections to $t\bar{t}+$jet production at the LHC
• A Two-Loop Four-Point Form Factor at Function Level
• Deciphering the Maximal Transcendentality Principle via Bootstrap
• Two-loop all-plus helicity amplitudes for self-dual Higgs boson with gluons via unitarity cut constraints
• Analytic two-Loop four-point form factor of the stress-tensor supermultiplet in $\mathcal{N}=4$ SYM
• Master Integrals for Electroweak corrections to $gg\to \gamma \gamma$ -- Light quark contributions
• Top-Yukawa contributions to $pp\to b\bar{b}H$: two-loop leading-colour amplitudes
• One-loop Feynman integrals for $2\to 3$ scattering involving many scales including internal masses
• One-Loop QCD Corrections to $\bar{u}d\to t\bar{t}W$ at $\mathcal{O}({\epsilon }^2)$
• Two-loop non-planar hexa-box integrals with one massive leg
• Two-loop tensor integral coefficients in OpenLoops
• Higher-Point Correlators in N=4 SYM: Ten-Dimensional Null Polygons
• Two-loop leading-color QCD corrections for Higgs plus two-jet production in the heavy-top limit