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We present Unified Flavor (UF), a framework that synthesizes the $B$-lattice flavor hierarchy with a dynamical realization based on TeV-scale vectorlike fermion (VLF) chains. Hierarchical Yukawa couplings arise from discrete…

High Energy Physics - Phenomenology · Physics 2026-03-31 Vernon Barger

Flavor hierarchies emerge from a single hierarchical parameter $B$ in a one-flavon Froggatt--Nielsen scheme. Fixing $B=5.357$ from charged-lepton ratios ($m_e:m_\mu:m_\tau\!\propto\!\epsilon^5:\epsilon^2:1$, $\epsilon=1/B$), we reproduce…

High Energy Physics - Phenomenology · Physics 2026-03-03 Vernon Barger

We present the quark weak-mixing component of a Froggatt--Nielsen program, with one flavon and three messengers, in which a single hierarchy parameter $B$ (with $\epsilon\equiv 1/B$) and a rational-exponent ``$B$-lattice'' organize fermion…

High Energy Physics - Phenomenology · Physics 2026-03-03 Vernon Barger

Building an organized Yukawa structure of quarks and leptons is an essential mission to understand fermion mass hierarchy and flavor mixing in particle physics. Inspired by the similarity of CKM and PMNS mixings, a common mass pattern for…

High Energy Physics - Phenomenology · Physics 2023-11-16 Ying Zhang

We propose an economical model to address the mass hierarchies of quarks and charged leptons. The light generations of the left-handed fermions form doublets under an $ \mathrm{SU}(2) $ flavor symmetry, which is gauged. The generational…

High Energy Physics - Phenomenology · Physics 2023-09-22 Admir Greljo , Anders Eller Thomsen

Flavor mixings together with fermion mass spectra are studied in detail in the $SU(6) \times SU(2)_R$ model, in which state-mixings beyond the minimal supersymmetric standard model (MSSM) take place. Characteristic patterns of fermion…

High Energy Physics - Phenomenology · Physics 2013-06-26 Chuichiro Hattori , Mamoru Matsunaga , Takeo Matsuoka

It has recently been shown that F-theory based constructions provide a potentially promising avenue for engineering GUT models which descend to the MSSM. In this note we show that in the presence of background fluxes, these models…

High Energy Physics - Theory · Physics 2014-11-18 Jonathan J. Heckman , Cumrun Vafa

In our recent attempt to explain flavor hierarchies [1], a gauged SU(2) flavor symmetry acting on left-handed fermions provides a ground to introduce three independent rank-one contributions to the Yukawa matrices: a renormalizable one for…

High Energy Physics - Phenomenology · Physics 2024-06-06 Admir Greljo , Anders Eller Thomsen , Hector Tiblom

We extend the single-flavon $B$-lattice Froggatt-Nielsen (FN) framework -- previously successful for quark masses and Cabibbo-Kobayashi-Maskawa (CKM) mixing -- to the lepton sector. The same $B$-lattice power structure ($\epsilon\equiv…

High Energy Physics - Phenomenology · Physics 2026-03-10 Vernon Barger

The minimal flavor structures for both quarks and leptons are proposed to address fermion mass hierarchy and flavor mixings by bi-unitary decomposition of the fermion mass matrix. The real matrix ${\bf M}_0^f$ is completely responsive to…

High Energy Physics - Phenomenology · Physics 2022-02-16 Ying Zhang

A general operator expansion is presented for quark and lepton mass matrices in unified theories based on a U(2) flavor symmetry, with breaking parameter of order $V_{cb} \approx m_s/m_b \approx \sqrt{m_c/m_t}$. While solving the…

High Energy Physics - Phenomenology · Physics 2009-10-30 R. Barbieri , L. J. Hall , S. Raby , A. Romanino

A flavor structure with minimal parameters is proposed to address the fermion mass hierarchy and flavor mixing for quarks and leptons. Yukawa interaction is reconstructed in a new basis to show a homological flat structure for up-type…

High Energy Physics - Phenomenology · Physics 2023-02-14 Ying Zhang

The Fermion flavor structure is investigated by bilinear decomposition of the mass matrix after EW symmetry breaking, and the roles of factorized matrices in flavor mixing and mass generation are explored. It is shown that flavor mixing can…

High Energy Physics - Phenomenology · Physics 2023-09-12 Guojun Xu , Jingjun Zhang , Chenzi Liao , Ying Zhang

In the Standard Model one of the generations is much heavier than the other two. We propose a simple mechanism where all three generations are treated on the equal footing to begin with, and one heavy and two light families emerge from…

High Energy Physics - Phenomenology · Physics 2014-11-17 Gia Dvali , Zurab Kakushadze

We consider a SU(5) x U(1)_F GUT-flavor model in which the number of effects that determine the charged fermions Yukawa matrices is much larger than the number of observables, resulting in a hierarchical fermion spectrum with no particular…

High Energy Physics - Phenomenology · Physics 2008-11-26 Luis F. Duque , Diego A. Gutierrez , Enrico Nardi , Jorge Norena

We construct a model in which the hierarchies of the quark and lepton masses and mixing are explained by the $\Gamma_6^\prime$ modular flavor symmetry. The hierarchies are realized by the Froggatt-Nielsen-like mechanism due to the residual…

High Energy Physics - Phenomenology · Physics 2023-07-06 Yoshihiko Abe , Tetsutaro Higaki , Junichiro Kawamura , Tatsuo Kobayashi

We study models of fermion mass matrices based on a flavor- and generation-dependent string-motivated U(1)$_A$ gauge symmetry and report two new classes of solutions to the requisite consistency conditions. In particular, we propose that…

High Energy Physics - Phenomenology · Physics 2009-10-28 Vidyut Jain , Robert Shrock

In an attempt to understand the observed patterns of lepton and quark masses, models invoking a flavor symmetry $G_f$, under which the Standard Model generations are charged, have been proposed. One particularly successful symmetry, U(2),…

High Energy Physics - Phenomenology · Physics 2014-11-17 Alfredo Aranda

In the Standard Model, Yukawa couplings parametrize the fermion masses and mixing angles with the exception of neutrino masses. The hierarchies and apparent regularities among the quark and lepton masses are, however, otherwise a mystery.…

High Energy Physics - Phenomenology · Physics 2022-11-07 Sudip Jana , Sophie Klett , Manfred Lindner

We construct a multiscalar and non-renormalizable model where the $\mathbf{S}_{3}$ flavor symmetry drives mainly the Yukawa couplings. In the quark sector, the Nearest Neighbor Interaction (NNI) textures are behind the CKM mixing matrix so…

High Energy Physics - Phenomenology · Physics 2020-11-25 J. D. García-Aguilar , Juan Carlos Gómez-Izquierdo
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