Renormalization and non-renormalization of scalar EFTs at higher orders

DOI10.1007/JHEP09(2021)014zbMath1472.81154arXiv2105.12742MaRDI QIDQ2237567

Weiguang Cao, Jasper Roosmale Nepveu, Tom Melia, Franz Herzog

Publication date: 27 October 2021

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.12742

zbMATH Keywords

renormalization groupeffective field theories

Mathematics Subject Classification ID

Renormalization group methods applied to problems in quantum field theory (81T17) Effective quantum field theories (81T12)

Related Items (7)

Gluonic evanescent operators: two-loop anomalous dimensions ⋮ Gluonic evanescent operators: classification and one-loop renormalization ⋮ Non-linear non-renormalization theorems ⋮ Five-loop anomalous dimensions of \(\phi^Q\) operators in a scalar theory with \(O(N)\) symmetry ⋮ Anomalous dimensions in hypercubic theories ⋮ Building blocks of the flavourful SMEFT RG ⋮ Renormalization of gluonic leading-twist operators in covariant gauges

Uses Software

• Maple
• FORM
• RStar
• Forcer

Cites Work

• Implications of conformal invariance in momentum space
• Six loop analytical calculation of the field anomalous dimension and the critical exponent \(\eta\) in \(\operatorname{O}(n)\)-symmetric \(\phi^{4}\) model
• Hilbert series and operator bases with derivatives in effective field theories
• Master integrals for four-loop massless propagators up to weight twelve
• Four-loop massless propagators: a numerical evaluation of all master integrals
• Four loop massless propagators: an algebraic evaluation of all master integrals
• Hilbert series and operator basis for NRQED and NRQCD/HQET
• The \(R^{\ast}\)-operation for Feynman graphs with generic numerators
• Renormalization group evolution of the standard model dimension six operators. I: Formalism and \(\lambda\) dependence
• Effective field theory of gravity to all orders
• Deligne categories in lattice models and quantum field theory, \textit{or} making sense of O(N) symmetry with non-integer N
• Renormalization of higher-dimensional operators from on-shell amplitudes
• Four loop \(\overline{\mathbf {MS}}\) mass anomalous dimension in the Gross-Neveu model
• Beta functions and anomalous dimensions up to three loops
• Classification and one loop renormalization of dimension six and eight operators in quantum gluodynamics
• The five-loop beta function of Yang-Mills theory with fermions
• Four-loop non-singlet splitting functions in the planar limit and beyond
• Feynman amplitudes, coaction principle, and cosmic Galois group
• Conformal symmetry and the spectrum of anomalous dimensions in the \(N\)-vector model in \(4-\epsilon\) dimensions.
• The structure of the spectrum of anomalous dimensions in the \(N\)-vector model in \(4-\epsilon\) dimensions
• The amplituhedron
• EFT anomalous dimensions from the S-matrix
• Perturbation theory of transformed quantum fields
• Anomalous dimensions of effective theories from partial waves
• The Hopf algebra structure of the \(R^\ast\)-operation
• Loops and trees in generic EFTs
• Holomorphy without supersymmetry in the standard model effective field theory
• Six-gluon amplitudes in planar \(\mathcal{N} = 4\) super-Yang-Mills theory at six and seven loops
• One-loop non-renormalization results in EFTs
• Field redefinitions in effective theories at higher orders
• On critical exponents without Feynman diagrams
• Measurement of the fine-structure constant as a test of the Standard Model
• The $\epsilon $-expansion from conformal field theory
• \textsc{Forcer}, a \textsc{Form} program for the parametric reduction of four-loop massless propagator diagrams

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