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Little Higgses and Turtles

David E. Kaplan, Martin Schmaltz, Witold Skiba

TL;DR

Problem: naturalness of the electroweak scale with a light Higgs. Approach: propose a UV extension called a turtle where two upstairs SU(7)/SO(7) littlest Higgs sectors yield a weakly coupled theory up to ~100 TeV, embedding two SU(3) triplet scalars that form the downstairs little Higgs. Key results: a Z2 symmetry forbids the dangerous cross-term, quadratic divergences are canceled up to two loops, and electroweak symmetry breaking yields a SM-like Higgs with mass around 150 GeV, plus additional scalar and heavy states. Significance: provides a concrete, testable high-energy completion of little Higgs ideas with characteristic collider and flavor signatures and a distinctive UV structure.

Abstract

We present an ultra-violet extension of the "simplest little Higgs" model. The model marries the simplest little Higgs at low energies to two copies of the "littlest Higgs'' at higher energies. The result is a weakly coupled theory below 100 TeV with a naturally light Higgs. The higher cutoff suppresses the contributions of strongly coupled dynamics to dangerous operators such as those which induce flavor changing neutral currents and CP violation. We briefly survey the distinctive phenomenology of the model.

Little Higgses and Turtles

TL;DR

Problem: naturalness of the electroweak scale with a light Higgs. Approach: propose a UV extension called a turtle where two upstairs SU(7)/SO(7) littlest Higgs sectors yield a weakly coupled theory up to ~100 TeV, embedding two SU(3) triplet scalars that form the downstairs little Higgs. Key results: a Z2 symmetry forbids the dangerous cross-term, quadratic divergences are canceled up to two loops, and electroweak symmetry breaking yields a SM-like Higgs with mass around 150 GeV, plus additional scalar and heavy states. Significance: provides a concrete, testable high-energy completion of little Higgs ideas with characteristic collider and flavor signatures and a distinctive UV structure.

Abstract

We present an ultra-violet extension of the "simplest little Higgs" model. The model marries the simplest little Higgs at low energies to two copies of the "littlest Higgs'' at higher energies. The result is a weakly coupled theory below 100 TeV with a naturally light Higgs. The higher cutoff suppresses the contributions of strongly coupled dynamics to dangerous operators such as those which induce flavor changing neutral currents and CP violation. We briefly survey the distinctive phenomenology of the model.

Paper Structure

This paper contains 6 sections, 20 equations, 1 figure.

Table of Contents

  1. Introduction
  2. High energy little Higgs
  3. Symmetries and gauge interactions
  4. Yukawa couplings
  5. Low energy little Higgs
  6. Conclusions

Figures (1)

  • Figure 1: Overall structure of the model. Two upstairs $SU(7)/SO(7)$ littlest Higgs models each yield one $SU(3)$ triplet scalar $\phi$ with appropriate interactions for the downstairs $SU(3)$ "simple gauge group" little Higgs model.