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All Two-Loop Feynman Integrals for Five-Point One-Mass Scattering
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abstract
We compute the complete set of two-loop master integrals for the scattering of four massless particles and a massive one. Our results are ready for phenomenological applications, removing a major obstacle to the computation of complete next-to-next-to-leading order (NNLO) QCD corrections to processes such as the production of a $H/Z/W$ boson in association with two jets at the LHC. Furthermore, they open the door to new investigations into the structure of quantum-field theories and provide precious analytic data for studying the mathematical properties of Feynman integrals.
Forward citations
Cited by 9 Pith papers
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Two-loop QCD amplitudes for $t\bar{t}W$ production at the LHC in the leading-colour approximation
First two-loop QCD hard functions for ttW production with exact top and W masses in leading colour, evaluated on a 224,640-point grid and cross-checked by an independent calculation.
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Two-loop amplitude for $t\bar{t}W$ production at hadron colliders in the leading colour approximation
The leading-colour two-loop QCD amplitude for ttbar-W production is evaluated numerically at phase-space points using differential equations and finite-field rational reconstruction.
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Two-loop leading-color QCD corrections for Higgs plus two-jet production in the heavy-top limit
Two-loop leading-color helicity amplitudes for H+2 jets in the heavy-top limit are computed analytically and validated, enabling NNLO phenomenology and revealing an anomalous threshold.
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Top-Yukawa contributions to $pp\to b\bar{b}H$: two-loop leading-colour amplitudes
First analytic two-loop leading-colour amplitudes for top-Yukawa-induced b bbar H production in the heavy-top limit, with Mathematica and C++ code.
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Higher-Point Correlators in N=4 SYM: Ten-Dimensional Null Polygons
A general two-loop formula is obtained for all n-point 10d null polygon correlators in planar N=4 SYM, expressed in a conformal-integral basis and verified numerically at 11 points.
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Feynman Integrals Meet Second-Order Partial Differential Equations
Feynman integrals can be solved globally over phase space by rewriting them as second-order PDE equilibrium problems and discretizing with finite elements.
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Novel cluster-algebraic letters for 5- and 6-point QCD processes
Candidate symbol alphabets for 5- and 6-point QCD processes are derived from the 9-particle N=4 super Yang-Mills cluster algebra, including new nested square-root letters.
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All planar three-loop Feynman integrals for the production of two vector bosons at hadron colliders
All nine planar three-loop four-point integral families for two massive external legs are cast into canonical differential equations and evaluated numerically, completing the set needed for leading-colour N3LO diboson...
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Fast evaluation of Feynman integrals for Monte Carlo generators
A new numerical integrator evaluates one- and two-loop five-point Feynman integrals with complex masses in milliseconds, using variable-by-variable integration and a new branch-cut prescription.
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