The Effective Lagrangian for Bulk Fermions in Models with Extra Dimensions

TL;DR

This paper derives a comprehensive effective Lagrangian for bulk fermions in warped extra-dimensional models, enabling precise calculations of their effects on electroweak and flavor physics.

Contribution

It provides a general formula for the dimension 6 effective Lagrangian with coefficients expressed as simple integrals, applicable to various warp factors and Higgs profiles.

Findings

Effective operators can be computed for arbitrary warp factors.

The Lagrangian captures all relevant tree-level fermion effects.

Applicable to models with or without an infrared brane.

Abstract

We compute the dimension 6 effective Lagrangian arising from the tree level integration of an arbitrary number of bulk fermions in models with warped extra dimensions. The coefficients of the effective operators are written in terms of simple integrals of the metric and are valid for arbitrary warp factors, with or without an infrared brane, and for a general Higgs profile. All relevant tree level fermion effects in electroweak and flavor observables can be computed using this effective Lagrangian.