Anomaly Mediated Gaugino Mass and Path-Integral Measure

Abstract

In recent years, there have been controversy concerning the anomaly mediated gaugino mass in the superspace formalism of supergravity. In this paper, we reexamine the gaugino mass term in this formalism by paying particular attention to symmetry which controls gaugino masses in supergravity. We first discuss super-Diffeomorphism invariance of path-integral measures of charged superfields. As we will show, the super-Diffeomorphism invariant measure is not invariant under a super-Weyl transformation, which is the origin of the anomaly mediated gaugino mass. We show how the anomaly mediated gaugino mass is expressed as a local operator in a Wilsonian effective action in a super-Diffeomorphism covariant way. We also obtain a gaugino mass term independent of the gauge choice of the fictitious super-Weyl symmetry in the super-Weyl compensator formalism, which reproduces the widely accepted result. Besides, we discuss how to reconcile the gaugino mass term in the local Wilsonian effective action and the gaugino mass term appearing in a non-local 1PI quantum effective action.

36 pages

References in corpus (16)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Cosmology and Astrophysics of Minimal Dark Matter
• Non-perturbative Effect on Thermal Relic Abundance of Dark Matter
• Big-Bang Nucleosynthesis and Gravitino
• Big Bang Nucleosynthesis Constraints on Hadronically and Electromagnetically Decaying Relic Neutral Particles
• Possible Signals of Wino LSP at the Large Hadron Collider
• Explaining the Electroweak Scale and Stabilizing Moduli in M Theory
• Wino Dark Matter and Future dSph Observations
• The Polonyi Problem and Upper bound on Inflation Scale in Supergravity
• On Anomaly Mediated SUSY Breaking
• Comments on Quantum Effects in Supergravity Theories
• Imprints of Non-thermal Wino Dark Matter on Small-Scale Structure
• High-Scale SUSY Breaking Models in light of the BICEP2 Result
• Anomaly Mediation from Randall-Sundrum to Dine-Seiberg
• AMSB and the Logic of Spontaneous SUSY Breaking

Cited by in corpus (4)

• Wino Dark Matter in light of the AMS-02 2015 Data
• Higgs mass 125 GeV and g-2 of the muon in Gaugino Mediation Model
• Unified Model of Chaotic Inflation and Dynamical Supersymmetry Breaking
• Coupling Unification and Dark Matter in a Standard Model Extension with Adjoint Majorana Fermions