### Conveners

#### Strongly Coupled Theories: G2a

- Domenec Espriu Climent (University of Barcelona (ES))

#### Strongly Coupled Theories: G2b

- Domenec Espriu Climent (University of Barcelona (ES))

#### Strongly Coupled Theories: G5a

- Julius Kuti (University of California, San Diego)

The effective field theory of the light $0^{++}$ scalar is discussed in an important near-conformal strongly coupled BSM gauge theory and its lattice simulations. Relevant for the composite Higgs, two distinct scenarios are analyzed for the emergent light scalar as composite $\sigma$-particle of chiral symmetry breaking or the dilaton of conformal symmetry breaking.

We discuss an extension of chiral perturbation theory where we include an isosinglet scalar in the Lagrangian. The dynamical effects from the scalar state is of phenomenological relevance in theories where the mass of the isosinglet scalar is comparable to the mass of the pseudo-Goldstone bosons. This near-degeneracy of states is for example observed in certain near-conformal BSM models. From...

I discuss using a generalized linear sigma model as an effective field theory (EFT) to describe nearly conformal gauge theories at low energies.

The work is motivated by recent lattice studies of gauge theories near the conformal window, which have shown that the lightest flavor-singlet scalar state in the spectrum ($\sigma$) can be much lighter than the vector state ($\rho$) and nearly...

Whether the U(2N) symmetry of Dirac fermions in 2+1 space-time dimensions is spontaneously broken by pair condensation once interactions are present is an important problem in non-perturbative quantum field theory. Here I focus on the Thirring model, whose interaction is a current-current contact term, using numerical simulations of a lattice model formulated with domain wall fermions - it has...

We study the electroweak phase transition within a 5-dim warped model

including a scalar potential with an exponential behavior, and strong

back-reaction over the metric, in the infrared. By means of a novel

treatment of the superpotential formalism, we explore parameter

regions that were previously inaccessible. We find that for large

values of the t’Hooft parameter the holographic phase...

We revisit the construction of the composite Higgs models in a context of the bottom-up holographic approach. The soft wall framework is under consideration imposing the translation of the $4D$ global symmetry breaking characteristic to the new strongly interacting sector to the $5D$ bulk. The focus stays on the minimal $SO(5)\to SO(4)$ breaking pattern.

The $5D$ model has a specific form...

We study the production of vector resonances at the LHC via WZ scattering processes and explore the sensitivities to these resonances for the expected future LHC luminosities. The electroweak chiral Lagrangian and the Inverse Amplitude Method (IAM) are used for analyzing a dynamically generated vector resonance, whose origin would be the (hypothetically strong) self interactions of the...

Lattice calculations are in progress to study SU(2) gauge theory with one Dirac fermion in the fundamental representation. This model bears some resemblance to QCD but there are also essential differences, such as an enlarged global symmetry and an absence of Goldstone bosons. The model contains a dark matter candidate that remains naturally stable over cosmological timescales.

I will review the recent progress in determining the infrared behavior of SU(2) gauge theory with fermions in fundamental representation of the gauge group.

Especially, we will focus on the six and eight fermion cases.

Taking into account the negative results of searches for new fields, the existence of a gap between SM and New Physics states justifies the use of electroweak effective theories. We consider a non-linear realization of the electroweak symmetry breaking and a set of new heavy states, incorporating colored bosonic and fermionic resonances. By integrating out these heavy resonances, we analyze...

We use the AdS/CFT correspondence to derive a formula which can be used, in confining gauage theories, to compute the production rate of hadrons from a quark-gluon plasma at freez-out temperature T_f. The formula is given in terms of the retarded Green's function of the corresponding hadronic current operator evaluated at freez-out temperature T_f, and reduces to the Cooper-Frye formula in the...