$\text{Tr}(F^3)$ supersymmetric form factors and maximal transcendentality Part II: $0<\mathcal{N}<4$ super Yang-Mills

Abstract

The study of form factors has many phenomenologically interesting applications, one of which is Higgs plus gluon amplitudes in QCD. Through effective field theory techniques these are related to form factors of various operators of increasing classical dimension. In this paper we extend our analysis of the first finite top-mass correction, arising from the operator $\mathrm{Tr}(F^3)$, from $\mathcal{N}=4$ super Yang-Mills to theories with $\mathcal{N}<4$, for the case of three gluons and up to two loops. We confirm our earlier result that the maximally transcendental part of the associated Catani remainder is universal and equal to that of the form factor of a protected trilinear operator in the maximally supersymmetric theory. The terms with lower transcendentality deviate from the $\mathcal{N}=4$ answer by a surprisingly small set of terms involving for example ${\zeta }_2$, ${\zeta }_3$ and simple powers of logarithms, for which we provide explicit expressions.

arXiv commentVersion accepted in JHEP

References in corpus (55)

• A General Algorithm for Calculating Jet Cross Sections in NLO QCD
• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
• Differential Equations for Two-Loop Four-Point Functions
• Multi-Parton Amplitudes in Gauge Theories
• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
• The Singular Behaviour of QCD Amplitudes at Two-loop Order
• MHV Vertices And Tree Amplitudes In Gauge Theory
• Classical Polylogarithms for Amplitudes and Wilson Loops
• The Dipole Formalism for the Calculation of QCD Jet Cross Sections at Next-to-Leading Order
• LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals
• What is the Simplest Quantum Field Theory?
• Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang-Mills model
• One-Loop Corrections to Five-Gluon Amplitudes
• The su(2|3) Dynamic Spin Chain
• Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory
• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• Two-Loop Master Integrals for ${\gamma }^{\ast }\to 3$ Jets: The planar topologies
• Presenting LiteRed: a tool for the Loop InTEgrals REDuction
• MHV Rules for Higgs Plus Multi-Gluon Amplitudes
• Bootstrapping rapidity anomalous dimension for transverse-momentum resummation
• Two-Loop g -> gg Splitting Amplitudes in QCD
• Two-Loop Helicity Amplitudes for Gluon-Gluon Scattering in QCD and Supersymmetric Yang-Mills Theory
• Two-Loop QCD Corrections to the Helicity Amplitudes for $H\to$ 3 partons
• Analytic two-loop results for selfenergy- and vertex-type diagrams with one non-zero mass
• Anomalous dimensions in N=4 SYM theory at order g^4
• The super-correlator/super-amplitude duality: Part I
• Non-Supersymmetric Loop Amplitudes and MHV Vertices
• Singular terms of helicity amplitudes at one-loop in QCD and the soft limit of the cross sections of multi-parton processes
• Analytic two-loop form factors in N=4 SYM
• Form Factors in N=4 Super Yang-Mills and Periodic Wilson Loops
• Two-Loop Iteration of Five-Point N=4 Super-Yang-Mills Amplitudes
• Search for the ${\Lambda }_b\to \Lambda {\eta }^{\prime }$ and ${\Lambda }_b\to \Lambda \eta$ decays with the LHCb detector
• Two-Loop Helicity Amplitudes for Quark-Gluon Scattering in QCD and Gluino-Gluon Scattering in Supersymmetric Yang-Mills Theory
• Soft-virtual corrections to Higgs production at N${}^3$LO
• Harmony of Super Form Factors
• On the logarithmic behaviour in N=4 SYM theory
• Two-Loop Helicity Amplitudes for Quark-Quark Scattering in QCD and Gluino-Gluino Scattering in Supersymmetric Yang-Mills Theory
• A Critical Behaviour of Anomalous Currents, Electric-Magnetic Universality and CFT_4
• Two-loop supersymmetric QCD and half-maximal supergravity amplitudes
• Probing the nature of the Higgs-gluon coupling
• The last of the simple remainders
• Effective Field Theory for Higgs Plus Jet Production
• Exploring the S-Matrix of Massless Particles
• New Integrable Structures in Large-N QCD
• On-shell superamplitudes in N<4 SYM
• Cutting through form factors and cross sections of non-protected operators in N=4 SYM
• On super form factors of half-BPS operators in N=4 super Yang-Mills
• On-Shell Methods for the Two-Loop Dilatation Operator and Finite Remainders
• The SU(2|3) dynamic two-loop form factors
• $\text{Tr}(F^3)$ supersymmetric form factors and maximal transcendentality Part I: $\mathcal{N}=4$ super Yang-Mills
• Higgs amplitudes from $\mathcal{N}=4$ super Yang-Mills theory
• Two-Loop SL(2) Form Factors and Maximal Transcendentality
• Classification and one loop renormalization of dimension six and eight operators in quantum gluodynamics
• Analytic Two-Loop Higgs Amplitudes in Effective Field Theory and the Maximal Transcendentality Principle

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