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Electroweak symmetry breaking from dimensional deconstruction

Nima Arkani-Hamed, Andrew G. Cohen, Howard Georgi

TL;DR

The paper introduces a perturbative, non-supersymmetric route to natural electroweak symmetry breaking based on dimensional deconstruction, where the Higgs arises as a chain scalar in theory space and radiative Higgs mass corrections are finite. By constructing a condensed moose of gauge groups and link fields, the Higgs is protected by accidental symmetries and a high-scale UV structure, with a calculable finite potential generated via Coleman-Weinberg dynamics. Realistic electroweak breaking emerges after decomposing the adjoint into SU(2) doublets and introducing plaquette-induced quartics, giving a light Higgs alongside a heavier partner and a distinctive TeV-scale spectrum. Local, nearest-neighbor fermion interactions in theory space generate the top Yukawa without reintroducing quadratic divergences, yielding a viable, testable framework for TeV-scale physics and its UV completion.

Abstract

We propose a new class of four-dimensional theories for natural electroweak symmetry breaking, relying neither on supersymmetry nor on strong dynamics at the TeV scale. The new TeV physics is perturbative, and radiative corrections to the Higgs mass are finite. The softening of this mass occurs because the Higgs is an extended object in theory space, resulting in an accidental symmetry. A novel Higgs potential emerges naturally, requiring a second light SU(2) doublet scalar.

Electroweak symmetry breaking from dimensional deconstruction

TL;DR

The paper introduces a perturbative, non-supersymmetric route to natural electroweak symmetry breaking based on dimensional deconstruction, where the Higgs arises as a chain scalar in theory space and radiative Higgs mass corrections are finite. By constructing a condensed moose of gauge groups and link fields, the Higgs is protected by accidental symmetries and a high-scale UV structure, with a calculable finite potential generated via Coleman-Weinberg dynamics. Realistic electroweak breaking emerges after decomposing the adjoint into SU(2) doublets and introducing plaquette-induced quartics, giving a light Higgs alongside a heavier partner and a distinctive TeV-scale spectrum. Local, nearest-neighbor fermion interactions in theory space generate the top Yukawa without reintroducing quadratic divergences, yielding a viable, testable framework for TeV-scale physics and its UV completion.

Abstract

We propose a new class of four-dimensional theories for natural electroweak symmetry breaking, relying neither on supersymmetry nor on strong dynamics at the TeV scale. The new TeV physics is perturbative, and radiative corrections to the Higgs mass are finite. The softening of this mass occurs because the Higgs is an extended object in theory space, resulting in an accidental symmetry. A novel Higgs potential emerges naturally, requiring a second light SU(2) doublet scalar.

Paper Structure

This paper contains 6 sections, 22 equations.