Flavor Physics and Fine-Tuning in Theory Space

Abstract

Recently a new class of composite Higgs models have been developed which give rise to naturally light Higgs bosons without supersymmetry. Based on the chiral symmetries of ``theory space,'' involving replicated gauge groups and appropriate gauge symmetry breaking patterns, these models allow the scale of the underlying strong dynamics giving rise to the composite particles to be as large as of order 10 TeV, without any fine tuning to prevent large corrections to Higgs boson mass(es) of order 100 GeV. In this note we show that the size of flavor violating interactions arising generically from underlying flavor dynamics constrain the scale of the Higgs boson compositeness to be greater than of order 75 TeV, implying that significant fine-tuning is required. Without fine-tuning, the low-energy structure of the composite Higgs model alone is not sufficient to eliminate potential problems with flavor-changing neutral currents or excessive CP violation; solving those problems requires additional information or assumptions about the symmetries of the underlying flavor or strong dynamics. We also consider the weaker, but more model-independent, bounds which arise from limits on weak isospin violation.

12 pages, two eps figures included. Minor revisions and added references

References in corpus (5)

• Electroweak symmetry breaking from dimensional deconstruction
• (De)Constructing Dimensions
• The Minimal Moose for a Little Higgs
• Dynamical Electroweak Breaking and Latticized Extra Dimensions
• A Case Study in Dimensional Deconstruction

Cited by in corpus (28)

• The Minimal Moose for a Little Higgs
• Little Higgs Review
• Phenomenology of the Little Higgs Model
• Little Higgs Models and Their Phenomenology
• Little Higgses from an Antisymmetric Condensate
• Big Corrections from a Little Higgs
• Variations of Little Higgs Models and their Electroweak Constraints
• The Little Higgs from a Simple Group
• Standard Model Higgs from Higher Dimensional Gauge Fields
• Constraining the Littlest Higgs
• Implications of D^0-\bar D^0 Mixing for New Physics
• The Simplest Little Higgs
• A "Littlest Higgs" Model with Custodial SU(2) Symmetry
• The Low-Energy Structure of Little Higgs Models
• Little Higgs and Custodial SU(2)
• Introducing the Little Higgs
• A Simple Model of two Little Higgses
• What Precision Electroweak Physics Says About the SU(6)/Sp(6) Little Higgs
• Mooses, Topology and Higgs
• A Composite Little Higgs Model
• Unitarity of Little Higgs Models Signals New Physics of UV Completion
• Neutrino masses and lepton-number violation in the Littlest Higgs scenario
• Alternatives to an Elementary Higgs
• Little Higgses and Turtles
• Precision Electroweak Observables in the Minimal Moose Little Higgs Model
• Little Higgs Models: New Approaches to the Hierarchy Problem
• Probing the gauge bosons $Z^{\prime }$ and $B^{\prime }$ from the Littlest Higgs model in the high-energy linear $e^{+}{e}^{-}$ colliders
• Dynamical Electroweak Superconductivity from a Composite Little Higgs