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We study the SU(3) gauge theory with twelve flavours of fermions in the fundamental representation as a prototype of non-Abelian gauge theories inside the conformal window. Guided by the pattern of underlying symmetries, chiral and…

高能物理 - 格点 · 物理学 2015-06-23 M. P. Lombardo , K. Miura , T. J. Nunes da Silva , E. Pallante

We summarize our results concerning the spectrum and mass anomalous dimension of SU(2) gauge theories with various numbers of fermions in the adjoint representation, where each Majorana fermion corresponds effectively to half a Dirac…

高能物理 - 格点 · 物理学 2017-02-01 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Stefano Piemonte

In gauge theories, the running of the anomalous dimension of a fermion bilinear operator is believed to lead to chiral symmetry breaking when gamma=1. Naively using perturbative results to judge when gamma=1 leads to the possibility of…

高能物理 - 唯象学 · 物理学 2024-12-11 Anja Alfano , Nick Evans

we study fermion masses and flavor mixing in a supersymmetric SO(10) model, where $\mathbf{10}$, $\mathbf{120}$ and $\mathbf{\bar{126}}$ Higgs multiplets have Yukawa couplings with matter multiplets and give masses to quarks and leptons…

高能物理 - 唯象学 · 物理学 2010-04-05 Wei-Min Yang , Zhi-Gang Wang

We propose an extra-dimension framework on the orbifold $S^1/Z_2$ for understanding the origin of the fermion mass and mixing hierarchies. Introducing the flavor symmetry $G_F(=${\it non-Abelian}$\times${\it Abelian}) as well as the extra…

高能物理 - 唯象学 · 物理学 2022-11-09 Y. H. Ahn , Sin Kyu Kang , Hyun Min Lee

We extend the description of flavour that exists in the Randall-Sundrum (RS) model to the soft wall (SW) model in which the IR brane is removed and the Higgs is free to propagate in the bulk. It is demonstrated that, like the RS model, one…

高能物理 - 唯象学 · 物理学 2015-05-30 Paul R. Archer , Stephan J. Huber , Sebastian Jäger

We study a possible gauge symmetry breaking pattern in an ${\rm SU}(7)$ grand unified theory, which describes the mass origins of all electrically charged SM fermions of the second and the third generations. Two intermediate gauge…

高能物理 - 唯象学 · 物理学 2023-04-26 Ning Chen , Ying-nan Mao , Zhaolong Teng , Bin Wang , Xiangjun Zhao

We investigate a local $SU(3)_F$ flavour symmetry for its viability in generating the masses for the quarks and charged leptons of the first two families through radiative corrections. Only the third-generation fermions get tree-level…

高能物理 - 唯象学 · 物理学 2023-10-24 Gurucharan Mohanta , Ketan M. Patel

I carry out a finite-size scaling study of the correlation length in SU(3) lattice gauge theory coupled to 12 fundamental flavor fermions, using recent data published by Fodor, Holland, Kuti, Nogradi and Schroeder. I make the assumption…

高能物理 - 格点 · 物理学 2013-05-29 Thomas DeGrand

We suggest a new particle model based on the symmetry group $SU(3)_{C}\otimes SU(2)_{L}\otimes SU(2)_{L'}\otimes SU(2)_{R}\otimes U(1)_{B-L}\otimes SU(3)_{F}\otimes U(1)_{N}$. The family symmetry and the high-energy left-handed and…

高能物理 - 唯象学 · 物理学 2010-11-23 Wei-Min Yang

We outline the extension of the globally chirally invariant Nf = 2 linear sigma model with vector and axial-vector degrees of freedom to Nf=3. We present preliminary results concerning the scalar meson masses.

高能物理 - 唯象学 · 物理学 2011-03-02 Denis Parganlija , Francesco Giacosa , Dirk H. Rischke , Peter Kovacs , Gyorgy Wolf

In this work we present the results of a numerical investigation of SU(2) gauge theory with N_f = 3/2 flavours of fermions, corresponding to 3 Majorana fermions, which transform in the adjoint representation of the gauge group. At two…

高能物理 - 格点 · 物理学 2018-03-14 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Stefano Piemonte , Philipp Scior

Finite size scaling is a powerful tool to study the critical properties of systems governed by one relevant operator, assuming all irrelevant operators have scaling dimensions much smaller then zero. This condition is likely not satisfied…

高能物理 - 格点 · 物理学 2022-09-21 Anna Hasenfratz , Anqi Cheng , Gregory Petropoulos , David Schaich

A grand unified $SU(5)$ theory is constructed with a hierarchical breaking of a $U(2)$ flavor symmetry. The small parameters of the squark and slepton mass matrices, necessary to solve the supersymmetric flavor-changing problem, and the…

高能物理 - 唯象学 · 物理学 2007-05-23 Riccardo Barbieri , Lawrence Hall

The problem of meson bound states with $N_f$ massive fermions in two dimensional quantum electrodynamics is discussed. We speculate about the spectrum of the lightest particles by means of the effective semiclassical description. In…

高能物理 - 唯象学 · 物理学 2015-06-25 M. Sadzikowski , P. Wegrzyn

We investigate the eigenmodes of the massless Dirac operator to extract the scale-dependent fermion mass anomalous dimension gamma_m(mu). By combining simulations on multiple lattice volumes, and when possible several gauge couplings, we…

高能物理 - 格点 · 物理学 2013-07-16 Anqi Cheng , Anna Hasenfratz , Gregory Petropoulos , David Schaich

We present an update of our ongoing study of the SU(2) gauge theory with one flavor of Dirac fermion in the adjoint representation. Compared to our previous results we now have data at larger lattice volumes, smaller values of the fermion…

高能物理 - 格点 · 物理学 2023-01-05 Ed Bennett , Andreas Athenodorou , Georg Bergner , Pietro Butti , Biagio Lucini

We review our recent results on the infrared behaviour of the SU(2) gauge theory with $N_f$ massless fundamental flavour fermions. We have analyzed the running of the coupling in SU(2) gauge theories with six and eight fermionic flavours…

高能物理 - 格点 · 物理学 2018-12-03 Viljami Leino , Kari Rummukainen , Joni M. Suorsa , Kimmo Tuominen , Sara Tähtinen

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 $U(1)_F$…

高能物理 - 唯象学 · 物理学 2024-05-29 Jin-Lei Yang , Hai-Bin Zhang , Tai-Fu Feng

Grand unified theories with fermions transforming as irreducible representations of a discrete nonabelian flavor symmetry can lead to realistic fermion masses, without requiring very small fundamental parameters. We construct a specific…

高能物理 - 唯象学 · 物理学 2013-11-13 David B. Kaplan , Martin Schmaltz