Distinctive ultraviolet structure of extra-dimensional Yang-Mills theories by integration of heavy Kaluza-Klein modes

Abstract

One-loop Standard Model observables produced by virtual heavy Kaluza-Klein fields play a prominent role in the minimal model of universal extra dimensions. Motivated by this aspect, we integrate out all the Kaluza-Klein heavy modes coming from the Yang-Mills theory set on a spacetime with an arbitrary number, $n$, of compact extra dimensions. After fixing the gauge with respect to the Kaluza-Klein heavy gauge modes in a covariant manner, we calculate a gauge independent effective Lagrangian expansion containing multiple Kaluza-Klein sums that entail a bad divergent behavior. We use the Epstein-zeta function to regularize and characterize discrete divergences within such multiple sums, and then we discuss the interplay between the number of extra dimensions and the degree of accuracy of effective Lagrangians to generate or not divergent terms of discrete origin. We find that nonrenormalizable terms with mass dimension $k$ are finite as long as $k>4+n$. Multiple Kaluza-Klein sums of nondecoupling logarithmic terms, not treatable by Epstein-zeta regularization, are produced by four-dimensional momentum integration. On the grounds of standard renormalization, we argue that such effects are unobservable.

16 pages, slight change in title, new references added

References in corpus (15)

• 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
• Dark Matter and Collider Phenomenology of Universal Extra Dimensions
• Summary of the searches for squarks and gluinos using $\sqrt{s}$ = 8 TeV pp collisions with the ATLAS experiment at the LHC
• Search for squarks and gluinos in events with isolated leptons, jets and missing transverse momentum at $\sqrt{s}=8$ TeV with the ATLAS detector
• Discriminating dark matter candidates using direct detection
• Production of Higgs boson excitations of universal extra dimension at the Large Hadron Collider
• Gauge invariance and quantization of Yang-Mills theories in extra dimensions
• One-loop effects of extra dimensions on the WWγand WWZ vertices
• Running of Neutrino Parameters and the Higgs Self-Coupling in a Six-Dimensional UED Model
• Dependence of SU(N) coupling behavior on the size of extra dimensions
• New Regulators for Quantum Field Theories with Compactified Extra Dimensions. I: Fundamentals
• New Regulators for Quantum Field Theories with Compactified Extra Dimensions. II: Ultraviolet Finiteness and Effective Field Theory Implementation
• Signatures from an extra-dimensional seesaw model
• The Standard Model in extra dimensions and its Kaluza-Klein effective Lagrangian

Cited by in corpus (4)

• One-loop structure of the photon propagator in the Standard Model Extension
• Gauge-invariant approach to the beta function in Yang-Mills theories with universal extra dimensions
• About heavy neutrinos: Lepton-flavor violation in decays of charged leptons
• Gauge structure of Yang-Mills theories with extra dimensions