New nonrenormalization theorems for anomalous three point functions

Abstract

Nonrenormalization theorems involving the transverse, i.e. non anomalous, part of the <VVA> correlator in perturbative QCD are proven. Some of their consequences and questions they raise are discussed.

14 pages. People added in the acknowledgements. Minor changes to match version to appear in journal

References in corpus (2)

• Refinements in electroweak contributions to the muon anomalous magnetic moment
• Perturbative and nonperturbative renormalization of anomalous quark triangles

Cited by in corpus (47)

• The anomalous magnetic moment of the muon in the Standard Model
• The Muon g-2
• Longitudinal short-distance constraints for the hadronic light-by-light contribution to $(g-2{)}_{\mu }$ with large-$N_c$ Regge models
• Axial-vector exchange contribution to the hadronic light-by-light piece of the muon anomalous magnetic moment
• Short-distance constraints on hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Anomalies to All Orders
• Axial vector transition form factors in holographic QCD and their contribution to the anomalous magnetic moment of the muon
• Anomalous transport with overlap fermions
• On axials and pseudoscalars in the hadronic light-by-light contribution to the muon $(g-2)$
• Short-distance constraints for the longitudinal component of the hadronic light-by-light amplitude: an update
• Hadronic Contributions to the Muon Anomaly in the Constituent Chiral Quark Model
• The interplay of transverse degrees of freedom and axial-vector mesons with short-distance constraints in g-2
• (Non)renormalization of Anomalous Conductivities and Holography
• Effects of Longitudinal Short-Distance Constraints on the Hadronic Light-by-Light Contribution to the Muon $g-2$
• Explicit Results for the Anomalous Three Point Function and Non-Renormalization Theorems
• Anomaly Poles as Common Signatures of Chiral and Conformal Anomalies
• An Anomalous Extra Z Prime from Intersecting Branes with Drell-Yan and Direct Photons at the LHC
• Spontaneous chiral symmetry breaking and the Chiral Magnetic Effect for interacting Dirac fermions with chiral imbalance
• Constraints on the hadronic light-by-light in the Melnikov-Vainshtein regime
• Anomalous $A{V}^{\ast }V$ vertex function in the soft-wall holographic model of QCD
• On some properties of the fourth-rank hadronic vacuum polarization tensor and the anomalous magnetic moment of the muon
• VA\tilde V correlator within the instanton vacuum model
• SVZ + 1/q2 expansion versus some QCD holographic Models
• Chiral magnetic conductivity in an interacting lattice model of parity-breaking Weyl semimetal
• Dispersion relation for hadronic light-by-light scattering: subleading contributions
• Dilaton Interactions and the Anomalous Breaking of Scale Invariance of the Standard Model
• Anomalous U(1) Models in Four and Five Dimensions and their Anomaly Poles
• Dispersion relations for the hadronic VVA correlator
• Complete dispersive evaluation of the hadronic light-by-light contribution to muon $g-2$
• Chiral magnetic response to arbitrary axial imbalance
• The VVA correlator at three loops in perturbative QCD
• Parity-Odd 3-Point Functions from CFT in Momentum Space and the Chiral Anomaly
• Improved evaluation of the electroweak contribution to muon $g-2$
• Dispersive approach to the axial anomaly and nonrenormalization theorem
• Vector-axial vector correlators in weak electric field and the holographic dynamics of the chiral condensate
• On the QCD corrections to Vainshtein's theorem for VVA correlator
• On Anomaly Matching and Holography
• Kaon mixing and the charm mass
• OPE of Green Functions of Chiral Currents
• QCD Sum Rules: Bridging the Gap between Short and Large Distances
• Present Status of the Muon Anomalous Magnetic Moment
• Comments on Anomaly Cancellations by Pole Subtractions and Ghost Instabilities with Gravity
• Hadronic Light-by-Light Contribution to Muon g-2: Status and Prospects
• Hadronic contributions to $a_{\mu }$ within Resonance Chiral Theory
• Tensor Meson Pole contributions to the HLbL piece of $a_{\mu }$ within R$\chi$T
• Anomalous $A{V}^{\ast }V$ vertex in the soft-wall holographic model of QCD
• Non-renormalization of the full <VVA> correlator at two-loop order