We consider zero-temperature transitions from conformal to nonconformal phases in quantum theories. argue that there are three generic mechanisms for the loss of conformality any number dimensions: (i) fixed point goes zero coupling, (ii) runs off infinite or (iii) an IR annihilates with a UV and they both disappear into complex plane. give relativistic nonrelativistic examples last case various dimensions show critical behavior mass gap behaves similarly correlation length finite...

A bstract The Sp(4) gauge theory with two Dirac fundamental flavours provides a candidate for the microscopic origin of composite-Higgs models based on SU(4)/Sp(4) coset. We employ combination different, complementary strategies numerical lattice calculations, Hybrid Monte Carlo and Heat Bath algorithms. perform pure Yang-Mills, quenched computations exploratory studies dynamical Wilson fermions. present first results in literature spectrum glueballs Yang-Mills theory, an EFT framework...

We provide the first determination of mass lightest flavor-singlet pseudoscalar and scalar bound states (mesons) in Sp(4) Yang-Mills theory coupled to two flavors fundamental fermions, using lattice methods. This has applications both composite Higgs strongly interacting dark matter scenarios. find singlets have masses comparable those light flavored states, which might important implications for phenomenological models. focus on regions parameter space corresponding a moderately heavy...

We perform lattice studies of meson mass spectra and decay constants the $Sp(4)$ gauge theory in quenched approximation. consider two species (Dirac) fermions as matter field content, transforming 2-index antisymmetric fundamental representation group, respectively. All fields are formulated Wilson fermions. extrapolate to continuum massless limits compare each other results obtained for mesons. In case three fermions, long-distance dynamics is relevant composite Higgs models. This first...

We consider the $Sp(4)$ gauge theory coupled to ${N}_{f}=2$ fundamental and ${n}_{f}=3$ antisymmetric flavors of Dirac fermions in four dimensions. This serves as microscopic origin for composite Higgs models with $SU(4)/Sp(4)$ coset, supplemented by partial top compositeness. study numerically its lattice realization, couple plaquette action Wilson-Dirac mixed representations, adopting a (rational) hybrid Monte Carlo method, perform nontrivial tests properties resulting theory. find...

We review the current status of long-term programme numerical investigation Sp(2N) gauge theories with and without fermionic matter content. start by introducing phenomenological as well theoretical motivations for this research programme, which are related to composite Higgs models, models partial top compositeness, dark in general physics strongly coupled their approach large-N limit. summarise results lattice studies conducted so far Yang–Mills theories, measuring string tension, mass...

We report the results of lattice numerical studies <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mi>S</a:mi><a:mi>p</a:mi><a:mo stretchy="false">(</a:mo><a:mn>4</a:mn><a:mo stretchy="false">)</a:mo></a:mrow></a:math> gauge theory coupled to fermions (hyperquarks) transforming in fundamental and two-index antisymmetric representations group. This strongly is minimal candidate for ultraviolet completion composite Higgs models that facilitate mechanism partial...

We perform lattice Monte Carlo simulations for up to 66 unitary fermions in a finite box using highly improved action nonrelativistic spin-$\frac{1}{2}$ fermions. obtain value of $0.{366}_{\ensuremath{-}0.011}^{+0.016}$ the Bertsch parameter, defined as energy Fermi gas measured units free thermodynamic limit. In addition, four fermions, we compute spectrum theory by exact diagonalization transfer matrix projected onto irreducible representations octahedral group small moderate size...

We report the findings of our extensive study spectra flavored mesons in lattice gauge theories with symplectic group and fermion matter content treated quenched approximation. For <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>S</a:mi><a:mi>p</a:mi><a:mo stretchy="false">(</a:mo><a:mn>4</a:mn><a:mo stretchy="false">)</a:mo></a:math>, <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mi>S</e:mi><e:mi>p</e:mi><e:mo...

Spectral densities encode nonperturbative information that enters the calculation of a plethora physical observables in strongly coupled field theories. Phenomenological applications encompass aspects standard-model hadronic physics, observable at current colliders, as well correlation functions characterizing new physics proposals, testable future experiments. By making use numerical data produced <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"...

We report the results of an extensive numerical study <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>S</a:mi><a:mi>p</a:mi><a:mo stretchy="false">(</a:mo><a:mn>4</a:mn><a:mo stretchy="false">)</a:mo></a:math> lattice gauge theory coupled to fermion matter content consisting three (Dirac) flavors, transforming in two-index antisymmetric representation group. In presence (degenerate) masses, has enhanced global <e:math xmlns:e="http://www.w3.org/1998/Math/MathML"...

We present a lattice Monte Carlo approach developed for studying large numbers of strongly interacting nonrelativistic fermions and apply it to dilute gas unitary confined harmonic trap. In place importance sampling, our makes use high statistics, an improved action, recently proposed statistical techniques. show how improvement the action can remove discretization finite volume errors systematically. For $N=3$ in box, energy scale as inverse volume, we reproduce previous high-precision...

We show how sign problems in simulations of many-body systems can manifest themselves the form heavy-tailed correlator distributions, similar to what is seen electron propagation through disordered media. propose an alternative statistical approach for extracting ground state energies such systems, illustrating method with a toy model and lattice data unitary fermions.

We perform lattice studies of the gauge theory with Sp(4) group and two flavours (Dirac) fundamental matter. The global SU(4) symmetry is spontaneously broken by fermion condensate. dynamical Wilson fermions in action introduce a mass that breaks also explicitly. resulting pseudo-Nambu-Goldstone bosons describe SU(4)/Sp(4) coset, are relevant, context physics beyond Standard Model, for composite Higgs models. discuss scale setting, continuum extrapolation finite volume effects theory. study...

For Yang-Mills theories in four dimensions, we propose to rescale the ratio between topological susceptibility and string tension squared a universal way, dependent only on group factors. We apply this suggestion SU(Nc) Sp(Nc) groups, compare lattice measurements performed by several independent collaborations. show that two sequences of (rescaled) numerical results these families groups are compatible with each other. hence perform combined fit, extrapolate common large-Nc limit.

We review numerical results for models with gauge group Sp (2N), discussing the glueball spectrum in large- N limit, quenched meson of (4) Dirac fermions fundamental and antisymmetric representation model two dynamical flavours. also present preliminary theory three The main motivation our programme is to test whether this latter viable as a realisation Higgs compositeness via pseudo Nambu Goldstone mechanism at same time can provide partial top compositeness. In respect, we report briefly...

We study Yang-Mills lattice theories with $Sp(N_c)$ gauge group, $N_c=2N$, for $N=1,\,\cdots,\,4$. show that if we divide the renormalised couplings appearing in Wilson flow by quadratic Casimir $C_2(F)$ of then resulting quantities display a good agreement among all values $N_c$ considered, over finite interval time. use this scaled version as scale-setting procedure, compute topological susceptibility theories, and extrapolate results to continuum limit each $N_c$.

We investigate the conformal window of four-dimensional gauge theories with fermionic matter fields in multiple representations. Of particularly relevant examples are ultraviolet complete models fermions two distinct representations considered context composite Higgs and top partial-compositeness. first discuss various analytical approaches to unveil lower edge their extension In particular, we argue that scheme-independent series expansion for anomalous dimension a fermion bilinear at an...

We study the conformal window of asymptotically free gauge theories containing $N_f$ flavors fermion matter transforming to vector and two-index representations $SO(N),~SU(N)$ $Sp(2N)$ groups. For $SO(N)$ we also consider spinorial representation. determine critical number $N_f^{\rm cr}$, corresponding lower end window, by using conjectured condition on anomalous dimension bilinear at an infrared fixed point, $\gamma_{\bar{\psi}\psi}=1$ or equivalently...

Lattice studies of gauge theories with symplectic groups provide valuable information about dynamics, and complement the results lattice investigations focused on unitary groups. These play a central role in phenomenological contexts such as composite Higgs strongly interacting dark matter models. We report recent progress our research programme, starting from glueball mass spectrum topology pure theory. present mesons quenched approximation, by varying number colours group. For $Sp(4)$...

Chimera baryons are an important element of strongly coupled theories that provide a microscopic origin for UV complete composite Higgs models (CHMs), since they play the role top partners in partial compositeness. In particular interesting realisation CHMs based upon underlying $Sp(4)$ gauge theory, such exotic objects composed two fermion constituents transforming on fundamental, and one 2-index antisymmetric representations. We perform lattice computations chimera baryon spectrum quenched...

Symplectic gauge theories coupled to matter fields lead symmetry enhancement phenomena that have potential applications in such diverse contexts as composite Higgs, top partial compositeness, strongly interacting dark matter, and dilaton-Higgs models. These are also interesting on theoretical grounds, for example reference the approach large-$N$ limit. A particularly compelling research aim is determination of extent conformal window with symplectic groups different field content consisting...

We conjecture that in Yang–Mills theories the ratio between ground-state glueball mass squared and string tension is proportional to of eigenvalues quadratic Casimir operators adjoint fundamental representations. The proportionality constant depends on dimension space-time only, henceforth universal. argue this universality, which supported by available lattice results, a direct consequence area-law confinement. In order explain universal behavior, we provide three analytical arguments,...

We consider the SU(2) gauge theory with N f = 2 flavors of Dirac fundamental fermions. study high-temperature behavior spectra mesons, discretizing on anisotropic lattices, and measuring two-point correlation functions in temporal direction as well screening masses various channels. identify (pseudo-)critical temperature at which susceptibility associated Polyakov loop has a maximum. At high both spin-1 spin-0 sectors light meson exhibit enhanced symmetry properties, indicating restoration...

The long-range electromagnetic interaction presents a challenge for numerical computations in $\mathrm{QCD}+\mathrm{QED}$. In addition to power-law finite volume effects, the standard lattice gauge theory approach introduces nonlocality through removal of photon zero-momentum modes. resulting effects must be quantitatively understood; and, this end, nonrelativistic effective field theories are an efficient tool, especially case composite particles. Recently oddity related was uncovered by...