Hidden Analytic Structure of Higgs Amplitudes and Maximal Transcendentality Principle
arXiv:1912.11422
Abstract
We present the computation of two-loop Higgs plus three-parton amplitudes with dimension-seven operators in Higgs effective field theory. The computation is based on the combination of unitarity cut and integration by parts methods in an unconventional way. The analytic results take remarkably simple form. In particular, the results show that the QCD and N=4 SYM results share the same leading transcendental parts. This generalizes the so-call maximal transcendentality principle to the Higgs amplitudes with high dimension operators and also with fundamental external quark states. Further simplicity also exists in lower transcendental parts, suggesting hidden structures beyond maximal transcendentality.
arXiv comment11 pages, 2 figures; Proceedings of the 14th International Symposium on Radiative Corrections (RADCOR2019) 9-13 September 2019, Avignon, France
References in corpus (19)
- Precise Predictions for W + 4 Jet Production at the Large Hadron Collider
- Bootstrapping rapidity anomalous dimension for transverse-momentum resummation
- The Two-Loop Hexagon Wilson Loop in N = 4 SYM
- Two-loop Integrand Decomposition into Master Integrals and Surface Terms
- Integration-by-parts reductions from unitarity cuts and algebraic geometry
- Next-to-Leading Order W + 5-Jet Production at the LHC
- NLO QCD corrections to Higgs boson plus jet production with full top-quark mass dependence
- Planar Two-Loop Five-Gluon Amplitudes from Numerical Unitarity
- Maximal Unitarity at Two Loops
- Two-Loop Four-Gluon Amplitudes with the Numerical Unitarity Method
- Effective Field Theory for Higgs Plus Jet Production
- Higgs bosons with large transverse momentum at the LHC
- NLO Higgs+jet at large transverse momenta including top quark mass effects
- Two-Loop SL(2) Form Factors and Maximal Transcendentality
- Efficient integrand reduction for particles with spin
- Two-Loop QCD Corrections to the Higgs plus three-parton amplitudes with Top Mass Correction
- Two-Loop Matching onto Dimension Eight Operators in the Higgs-Glue Sector
- The Curious Case of Leading Transcendentality: Three Point Form Factors
- Analytic Form of the Three-loop Four-gluon Scattering Amplitudes in Yang-Mills Theory