Gravity and the Neutral Currents: Effective Interactions from the Trace Anomaly

Abstract

We present a complete study of the one graviton-two neutral gauge bosons vertex at 1-loop level in the electroweak theory. This vertex provides the leading contribution to the interaction between the Standard Model and gravity, mediated by the trace anomaly, at first order in the inverse Planck mass and at second order in the electroweak expansion. At the same time, these corrections are significant for precision studies of models with low scale gravity at the LHC. We show, in analogy with previous results in the QED and QCD cases, that the anomalous interaction between gravity and the gauge current of the Standard Model, due to the trace anomaly, is mediated, in each gauge invariant sector, by effective massless scalar degrees of freedom. We derive the Ward and Slavnov-Taylor identities characterizing the vertex. Our analysis includes the contributions from the improvements of the scalar sector, induced by a conformally coupled Higgs sector in curved space.

69 pages, 17 figures. Section 4 extended; some comments added in section 7. Final version to appear in Phys. Rev. D

References in corpus (15)

• Twenty Years of the Weyl Anomaly
• Anomaly mediation in supergravity theories
• Breaking Of Conformal Invariance And Electromagnetic Field Generation In The Universe
• Techniques for the calculation of electroweak radiative corrections at the one-loop level and results for W-physics at LEP200
• The Trace Anomaly and Massless Scalar Degrees of Freedom in Gravity
• Macroscopic Effects of the Quantum Trace Anomaly
• Conformal Anomalies and the Gravitational Effective Action: The $TJJ$ Correlator for a Dirac Fermion
• Dimensional regularization for N=1 susy sigma models and the worldline formalism
• Anomaly Poles as Common Signatures of Chiral and Conformal Anomalies
• Trace Anomaly, Massless Scalars and the Gravitational Coupling of QCD
• Unitarity Bounds for Gauged Axionic Interactions and the Green-Schwarz Mechanism
• Anomalous U(1) Models in Four and Five Dimensions and their Anomaly Poles
• Axions and Anomaly-Mediated Interactions: The Green-Schwarz and Wess-Zumino Vertices at Higher Orders and g-2 of the muon
• The Conformal Anomaly and the Neutral Currents Sector of the Standard Model
• Trace Anomaly Inflation in Brane Induced Gravity

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