Gluonic evanescent operators: classification and one-loop renormalization

Abstract

Evanescent operators are a special class of operators that vanish classically in four-dimensional spacetime, while in general dimensions they are non-zero and are expected to have non-trivial physical effects at the quantum loop level in dimensional regularization. In this paper we initiate the study of evanescent operators in pure Yang-Mills theory. We develop a systematic method for classifying and constructing the $d$-dimensional Lorentz invariant evanescent operators, which start to appear at mass dimension ten. We also compute one-loop form factors for the dimension-ten operators via the $d$-dimensional unitarity method and obtain their one-loop anomalous dimensions. These operators are necessary ingredients in the study of high dimensional operators in effective field theories involving a Yang-Mills sector.

arXiv commentv2: 70 pages, 3 figures, 9 tables; reference added, minor corrections

References in corpus (33)

• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Review of AdS/CFT Integrability: An Overview
• Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
• The Singular Behaviour of QCD Amplitudes at Two-loop Order
• New Color Decompositions for Gauge Amplitudes at Tree and Loop Level
• Weak Hamiltonian, CP Violation and Rare Decays
• Two-Loop QCD Corrections to the Helicity Amplitudes for $H\to$ 3 partons
• Evanescent Operators, Scheme Dependences and Double Insertions
• Unitarity violation at the Wilson-Fisher fixed point in 4-epsilon dimensions
• Evanescent Effects Can Alter Ultraviolet Divergences in Quantum Gravity without Physical Consequences
• Four loop renormalization of the Gross-Neveu model
• Probing the nature of the Higgs-gluon coupling
• Effective Field Theory for Higgs Plus Jet Production
• Two-Loop Renormalization of Quantum Gravity Simplified
• Dimensional Reduction in Non-Supersymmetric Theories
• Cutting through form factors and cross sections of non-protected operators in N=4 SYM
• Amplitudes, Form Factors and the Dilatation Operator in $\mathcal{N}=4$ SYM Theory
• On Yangian Symmetry in Planar N=4 SYM
• Dimensional Reduction applied to QCD at three loops
• Six dimensional QCD at two loops
• Classification and one loop renormalization of dimension six and eight operators in quantum gluodynamics
• From Scattering Amplitudes to the Dilatation Generator in N=4 SYM
• Analytic Two-Loop Higgs Amplitudes in Effective Field Theory and the Maximal Transcendentality Principle
• Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality
• Efficient integrand reduction for particles with spin
• Operator mixing in $\mathbf{\epsilon }$-expansion: scheme and evanescent (in)dependence
• Renormalization and non-renormalization of scalar EFTs at higher orders
• Two-Loop anomalous dimensions of QCD operators up to dimension-sixteen and Higgs EFT amplitudes
• 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
• Complete Form Factors in Yang-Mills from Unitarity and Spinor Helicity in Six Dimensions
• Eight dimensional QCD at one loop
• Gluonic evanescent operators: classification and one-loop renormalization

Cited by in corpus (3)

• Gluonic evanescent operators: classification and one-loop renormalization
• Double copy for tree-level form factors. Part II. Generalizations and special topics
• Gluonic evanescent operators: two-loop anomalous dimensions