Discovering Technicolor

Abstract

We provide a pedagogical introduction to extensions of the Standard Model in which the Higgs is composite. These extensions are known as models of dynamical electroweak symmetry breaking or, in brief, Technicolor. Material covered includes: motivations for Technicolor, the construction of underlying gauge theories leading to minimal models of Technicolor, the comparison with electroweak precision data, the low energy effective theory, the spectrum of the states common to most of the Technicolor models, the decays of the composite particles and the experimental signals at the Large Hadron Collider. The level of the presentation is aimed at readers familiar with the Standard Model but who have little or no prior exposure to Technicolor. Several extensions of the Standard Model featuring a composite Higgs can be reduced to the effective Lagrangian introduced in the text.We establish the relevant experimental benchmarks for Vanilla, Running, Walking, and Custodial Technicolor, and a natural fourth family of leptons, by laying out the framework to discover these models at the Large Hadron Collider.

Microscopic structure of magnetic bions

“…These collective coordinates are divided into translation x i BPS , x i KK , where i = 1, 2, 3, and global U (1) rotations U (θ BPS ), U (θ KK ) for the BPS and KK monopoles respectively. Defining the norms-squared matrix U IJ , which can be interpreted as the metric on the moduli space of collective coordinates: 14) and performing the integration over the zero modes in (4.4) results in 15) and Det stands for the determinant with the zero modes removed; note also that M gh is a positive definite operator that has no zero modes, see, e.g., [19].…”

“…the one most relevant at small L, involve only the lowest Kaluza-Klein modes (with KK numbers 0, ±1, see the explicit solutions (3.25)) of the fields and can be effectively described by a 3D theory that only involves these lowest modes. 14 The coupling in this 3D theory is given by g(L)/L (we do not distinguish between the energy scales π/L or 2π/L here, a difference that will only introduce an inessential correction). Since the 3D theory is Higgsed at the scale π/L, there is no further running of the 3D coupling and all the physics should be expressed in terms of g(L), obeying the usual (unbroken) 4D renormalization group equation.…”

“…3 While this is tangential to the subject of this paper, we note that the n f = 4 theories have received some attention due to interest in "minimal walking technicolor" models of electroweak symmetry breaking, see [14] and references therein. Note also that the n f = 4 theory is nothing but N = 4 supersymmetric Yang-Mills with the scalars decoupled, but the SU (4)R chiral symmetry left intact.…”

Distinguishing among technicolor/warped scenarios in dileptons

“…It gives up calculability, assumes walking, and is more phenomenologically driven, see ref. [51][52][53] for a different popular fourdimensional scenario. Rather than model the strong dynamics, LSTC introduces a small parameter in a sector of the theory.…”

TRIDAQ Systems in HEP Experiments at LHC Accelerator

“…Each of them differently explains a problem of fitting and unification of different kind of forces. Technicolor models [3] suggest that the Higgs boson is not a point particle but has an internal structure that will be discovered at energy 1TeV. This theory is probably impossible to be mapped into realistic models.…”