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We study the Thirring model in three spacetime dimensions, by means of Monte Carlo simulation on lattice sizes 8^3 and 12^3, for numbers of fermion flavors N_f=2,4,6. For sufficiently strong interaction strength, we find that spontaneous…

High Energy Physics - Lattice · Physics 2009-10-28 Luigi Del Debbio , Simon Hands

The so-called extended linear sigma model is a chiral model with (pseudo)scalar and (axial-)vector mesons. It is based on the requirements of (global) chiral symmetry and dilatation invariance. The purpose of this model is the description…

High Energy Physics - Phenomenology · Physics 2017-08-23 F. Giacosa , D. Parganlija , P. Kovacs , Gy. Wolf

A novel, nonperturbative, way to generate chiral symmetry breaking within the linear sigma model for 3 flavours is discussed. After spontaneous chiral symmetry breaking in the vacuum at the tree level the scalar nonet obtains mass, while…

High Energy Physics - Phenomenology · Physics 2009-10-30 Nils A. Tornqvist

We proposed a viable and predictive model based on the $SU(3)_C \times SU(3)_L \times U(1)_X$ gauge symmetry, supplemented by the global $U(1)_{Lg}$ symmetry, the $S_4$ family symmetry and several auxiliary cyclic symmetries, which…

High Energy Physics - Phenomenology · Physics 2024-06-14 A. E. Cárcamo Hernández , Juan Marchant González , M. L. Mora-Urrutia , Daniel Salinas-Arizmendi

We develop a scheme for the extraction of the properties of the scalar mesons $f_0(600)$, $f_0(980)$, and $a_0(980)$ from lattice QCD data. This scheme is based on a two-channel chiral unitary approach with fully relativistic propagators in…

High Energy Physics - Lattice · Physics 2011-08-22 E. Oset , M. Doring , U. G. Meissner , A. Rusetsky

Flavor symmetry has been widely studied for figuring out the masses and mixing angles of standard-model fermions. In this paper we present a framework for handling flavor symmetry breaking where the symmetry breaking is triggered by…

High Energy Physics - Phenomenology · Physics 2008-12-30 Tatsuo Kobayashi , Yuji Omura , Koichi Yoshioka

The three flavor linear sigma model is studied as a ``toy model'' for understanding the role of possible light scalar mesons in the \pi \pi, \pi K and \pi \eta scattering channels. The approach involves computing the tree level partial wave…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. Black , A. H. Fariborz , S. Moussa , S. Nasri , J. Schechter

We investigate an extension of the Standard Model with a partially flavour non-universal abelian gauge symmetry that enables radiative mass generation for lighter fermions. With flavour-universal charges for the first two generations,…

High Energy Physics - Phenomenology · Physics 2025-08-08 Gurucharan Mohanta , Ketan M. Patel

We study the nature of the finite-temperature transition of the three-dimensional scalar chromodynamics with N_f flavors. These models are constructed by considering maximally O(M)-symmetric multicomponent scalar models, whose symmetry is…

Statistical Mechanics · Physics 2020-02-19 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

A flavor-dependent model (FDM) is proposed in this work. The model extends the Standard Model by an extra $U(1)_F$ local gauge group, two scalar doublets, one scalar singlet and two right-handed neutrinos, where the additional $U(1)_F$…

High Energy Physics - Phenomenology · Physics 2024-05-29 Jin-Lei Yang , Hai-Bin Zhang , Tai-Fu Feng

Recent measurements by several experimental collaborations have reported deviations from Standard Model (SM) predictions in diphoton final states, potentially hinting at the existence of intermediate scalar resonances above the electroweak…

High Energy Physics - Phenomenology · Physics 2026-04-29 Yithsbey Giraldo , Eduardo Rojas , Juan C. Salazar

We address the interplay between local and global symmetries in determining the continuum limit of two-dimensional lattice scalar theories characterized by $SO(N_c)$ gauge symmetry and non-Abelian $O(N_f)$ global invariance. We argue that,…

High Energy Physics - Lattice · Physics 2022-05-25 Claudio Bonati , Alessio Franchi

This review of the quark-level linear \sigma model is based upon the dynamical realization of the pseudoscalar and scalar mesons as a linear representation of SU(2) x SU(2) chiral symmetry, with the symmetry weakly broken by current quark…

High Energy Physics - Phenomenology · Physics 2013-10-25 Michael D. Scadron , George Rupp , Robert Delbourgo

The flavor problem, neutrino physics and the fermion mass hierarchy are important motivations to extend the Standard Model into the TeV scale. A new family non-universal extension is presented with three Higgs doublets, one Higgs singlet…

High Energy Physics - Phenomenology · Physics 2018-01-08 S. F. Mantilla , R. Martinez

In this work, we analyze (using a chiral effective Lagrangian model) the scalar and pseudoscalar meson mass spectrum of QCD at finite temperature, above the chiral transition at $T_c$, in the realistic case with $N_f = 2 + 1$ light quark…

High Energy Physics - Phenomenology · Physics 2024-04-16 Enrico Meggiolaro

Meson properties are considered within a U(3)\times U(3) Linear Sigma Model(LSM). The importance of the U_A(1)-breaking term and the OZI rule violating term in the generation of meson masses and mixing angles is stressed. The LSM parameters…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Napsuciale

We present an extended 331 model with $T'$ discrete flavor symmetry that simultaneously explains the need to have exactly three generations and provides acceptable quark and lepton masses and mixings. New fermionic states and gauge bosons…

High Energy Physics - Phenomenology · Physics 2015-06-16 Paul H. Frampton , Chiu Man Ho , Thomas W. Kephart

Based on a new approach to quark and lepton masses, where the mass spectra originate in vacuum expectation values of O(3)-flavor 1+5 (gauge singlet) scalars, a neutrino mass matrix of a new type is speculated. The mass matrix is described…

High Energy Physics - Phenomenology · Physics 2009-11-13 Yoshio Koide

We study the 2-flavor lattice Schwinger model with Wilson fermions in the chiral limit. The quark mass is determined using the PCAC definition. We numerically compute the masses of the iso-triplet (pi) and iso-singlet particles (eta) for…

High Energy Physics - Lattice · Physics 2009-10-31 Christof Gattringer , Ivan Hip , C. B. Lang

We consider the axial-vector form factors of the baryon octet in flavor-SU(3) chiral perturbation theory. The baryon octet and decuplet and the pseudoscalar-meson octet are included as explicit degrees of freedom. We explore the use of…

High Energy Physics - Phenomenology · Physics 2022-03-14 Ulrich Sauerwein , Matthias F. M. Lutz , Rob G. E. Timmermans