The Standard Model in the Latticized Bulk
Hsin-Chia Cheng, Christopher T. Hill, Stefan Pokorski, Jing Wang
TL;DR
This paper develops a gauge-invariant effective Lagrangian for the Standard Model in a 4+1 dimensional lattice framework, analyzing Higgs configurations and their implications for naturalness.
Contribution
It introduces a lattice-based approach to model the Standard Model in higher dimensions with split fermions and examines naturalness issues for different Higgs setups.
Findings
Extra dimensions with explicit Higgs do not solve the naturalness problem.
Constructs a gauge-invariant effective Lagrangian in 3+1 dimensions from 4+1 dimensions.
Explores Higgs configurations with universal and localized VEVs.
Abstract
We construct the manifestly gauge invariant effective Lagrangian in 3+1 dimensions describing the Standard Model in 4+1 dimensions, following the transverse lattice technique. We incorporate split generation fermions and we explore naturalness for two Higgs configurations: a universal Higgs VEV, common to each transverse brane, and a local Higgs VEV centered on a single brane with discrete exponential attenuation to other branes, emulating the split-generation model. Extra dimensions, with explicit Higgs, do not ameliorate the naturalness problem.
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