Abstract
We present an ultraviolet extension of the Twin Higgs in which the radial mode of twin symmetry breaking is itself a pseudo-goldstone boson. This “turtle” structure raises the scale of new colored particles in exchange for additional states in the Higgs sector, making multiple Higgs-like scalars the definitive signature of naturalness in this context. We explore the parametrics and phenomenology of a concrete Twin Turtle model and demonstrate its robustness in two different supersymmetric completions. Along the way, we also introduce a new mechanism for inducing hard twin symmetry-breaking quartics via soft supersymmetry breaking.
Highlights
New dynamics associated with the discrete symmetry and gSM is a relevant Standard Model coupling
There is an immediate obstruction to naively concatenating patterns of global symmetry breaking in simple models of neutral naturalness such as the Twin Higgs: raising the cutoff with turtles is only manifestly sensible in Little Higgs-like theories where there is no additional tuning penalty associated with vacuum alignment
With the symmetry breaking structure of turtles in mind, it is convenient to organize the theory around the following pattern of discrete symmetries relating the Higgs scalars: the doublets ha and hb are related by a discrete Z2 symmetry, as are Ha and Hb, leading to two approximate SU(4) global symmetries acting on h ≡ and H ≡ (Ha, Hb)
Summary
To motivate the structure of the Twin Turtle in general, and the Twin Maximally Natural Turtle in particular, we begin by reviewing aspects of fine-tuning in the original Twin Higgs. Model before introducing the simplest turtle extension and illustrating its parametric advantages. This necessarily entails a careful accounting of the full sensitivity of electroweak symmetry breaking to UV physics, expanding upon previous treatments of fine-tuning in Twin Higgs models
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