The Vector-like Twin Higgs
Authors: Nathaniel Craig, Simon Knapen, Pietro Longhi, and Matthew Strassler
ArXiv:1601.07181v1 26 January 2016

Shedding Light on Diphoton Resonances
Authors: Nathaniel Craig, Patrick Draper, Can Kilic, Scott Thomas
ArXiv:1512.07733  Mon, 27 Jun 2016 v3

The Orbifold Higgs
Authors: Nathaniel Craig, Simon Knapen, Pietro Longhi
ArXiv:1411.7393 23 Jun 2015  v2

There are 67 base-2 notations from the Planck scale to the CERN scale where the Large Hadron Collider (LHC) phenomenology is recorded. Each notation is a frame of reference, which can be a set, sector, cluster, or group. With the data within each frame the twin Higgs mechanisms may be more fully appreciated and possibly better understood. This data is accessible mathematically and logically, but it is out of reach of the LHC.

 

The matter content within the  twin sector is substantially more than the two twin tops and one twin bottom. Glueball decays, the gluon particles, without valence quarks, possibly in association with Higgs bosons. We further construct an explicit four-dimensional UV completion and discuss a variety of UV completions relevant for both vector-like and fraternal twin Higgs models.

The experimental and theoretical implications of heavy digauge boson resonances that couple to, or are comprised of, new charged and strongly interacting matter are investigated. Observation and measurement of ratios of the resonant digauge boson channels WW, ZZ, γγ, Zγ, and gg in the form of dijets, provide a rather direct — and for some ratios a rather robust — probe of the gauge representations of the new matter. For a spin-zero resonance with the quantum numbers of the vacuum, the ratios of resonant WW and ZZ to γγ channels, as well as the longitudinal versus transverse polarization fractions in the WW and ZZ channels, provide probes for possible mixing with the Higgs boson, while di-Higgs and ditop resonant channels, hh and tt, provide somewhat less sensitivity. We present a survey of possible underlying models for digauge boson resonances by considering various limits for the mass of the new charged and strongly interacting matter fields as well as the confinement scale of new hypergauge interactions under which they may also be charged. In these limits, resonances may be included as elementary weakly coupled spin-zero states or can correspond to hyperglueballs, hyperonia, or pseudoscalar hypermesons. For each of these cases, we make predictions for additional states that could be resonantly or pair produced and observed at the Large Hadron Collider or in future collider experiments. Heavy digauge boson resonances can provide a unified explanation for a number of small discrepancies and excesses in reported data from the Large Hadron Collider.

We introduce and systematically study an expansive class of “orbifold Higgs” theories in which the weak scale is protected by accidental symmetries arising from the orbifold reduction of continuous symmetries. The protection mechanism eliminates quadratic sensitivity of the Higgs mass to higher scales at one loop (or more) and does not involve any new states charged under the Standard Model. The structures of the Higgs and top sectors are universal and determined exclusively by group theoretical considerations. The twin Higgs model fits within our framework as the simplest example of an orbifold Higgs. Our models admit UV completions as geometric orbifolds in higher dimensions, and fit naturally within frameworks of low scale gauge coupling unification.