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Lepton number as a fourth color is the intriguing theoretical idea of the famous Pati-Salam (PS) model. While in conventional PS models, the symmetry breaking scale and the mass of the resulting vector leptoquark are stringently constrained…

High Energy Physics - Phenomenology · Physics 2018-07-11 Monika Blanke , Andreas Crivellin

We suggest that the Standard Model can be viewed as the magnetic dual of a gauge theory featuring only fermionic matter content. We show this by first introducing a Pati-Salam like extension of the Standard Model and then relating it to a…

High Energy Physics - Phenomenology · Physics 2011-08-11 Francesco Sannino

We discuss the results of a search for anomaly free Abelian Z_N discrete symmetries that lead to automatic R-parity conservation and prevents dangerous higher-dimensional proton decay operators in simple extensions of the minimal…

High Energy Physics - Phenomenology · Physics 2008-11-26 Rabindra N. Mohapatra , Michael Ratz

The standard model has for massless quarks and leptons "miraculously" no triangle anomalies due to the fact that the sum of all possible traces $Tr [\tau^{Ai}$$ \tau^{Bj}$$ \tau^{Ck}]$ --- where $\tau^{Ai}, \tau^{Bi}$ and $\tau^{Ck}$ are…

High Energy Physics - Phenomenology · Physics 2017-07-06 Norma Susana Mankoč Borštnik , Holger Bech Nielsen

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

We perform a comprehensive phenomenological analysis of the twin Pati-Salam theory of flavour, focussing on the parameter space relevant for interpreting the $B$-anomalies via vector leptoquark $U_1$ exchange. This model provides a very…

High Energy Physics - Phenomenology · Physics 2023-09-25 Mario Fernández Navarro , Stephen F. King

We show that most features of the mass and mixing pattern of the second and third SM fermion families can be accounted for without making use of flavour symmetries or other types of flavour dynamics. We discuss the implications for flavour…

High Energy Physics - Phenomenology · Physics 2010-04-30 L. Calibbi , L. Ferretti , A. Romanino , R. Ziegler

We present a renormalizable fermion mass model based on the symmetry $Q_4$ that accommodates all fermion masses and mixing angles in both the quark and lepton sectors. It requires the presence of only four SU(2) doublet scalar fields…

High Energy Physics - Phenomenology · Physics 2011-08-12 Alfredo Aranda , Cesar Bonilla , Raymundo Ramos , Alma D. Rojas

The B anomalies, by their distinctive flavour structure i.e. $U(2)^5$, bring a new piece to the long-standing flavour puzzle. The three-site flavour non-universal Pati-Salam (PS) model, which unifies quarks and leptons, provides through the…

High Energy Physics - Phenomenology · Physics 2021-09-28 Julie Pagès

We show how any flavour conserving $Z'$ model can be made flavour violating and non-universal by introducing mass mixing of quarks and leptons with a fourth family of vector-like fermions with non-universal $Z'$ couplings. After developing…

High Energy Physics - Phenomenology · Physics 2017-09-13 Stephen F. King

We present a supersymmetric Pati-Salam model with small representations as a potential candidate for physics beyond the Standard Model. The model features a Higgs sector with bifundamental fields $H_R+\bar H_R=(4,1,2)+(\bar 4,1,2)$,…

High Energy Physics - Phenomenology · Physics 2025-02-24 George K. Leontaris , Ruiwen Ouyang , Ye-ling Zhou

After we study the 6-dimensional ${\cal N} = (1, 1)$ supersymmetry breaking and $R$ symmetry breaking on $M^4\times T^2/Z_n$, we construct two ${\cal N} = (1, 1)$ supersymmetric $E_6$ models on $M^4\times T^2/Z_3$ where $E_6$ is broken down…

High Energy Physics - Phenomenology · Physics 2014-11-17 Tianjun Li

We present a UV completion of the Standard Model in which quarks and leptons are unified under color SU(4). A single fermionic representation, the real antisymmetric, provides the building blocks to address the strong CP problem via the…

High Energy Physics - Phenomenology · Physics 2026-04-02 Clara Murgui

Non-trivial patterns of quark and lepton masses and mixings can arise without there being any underlying flavor symmetry that distinguishes among the three families. Two realistic examples are given.

High Energy Physics - Phenomenology · Physics 2011-05-12 S. M. Barr

We present a one-doublet extended technicolor model, with all fermions in fundamental representations. The bare lagrangian has no explicit mass terms but generates masses through gauge symmetry breaking by purely QCD-like dynamics. The…

High Energy Physics - Phenomenology · Physics 2014-11-17 Tom Appelquist , Nick Evans

If the standard model of quarks and leptons is extended to include three singlet right-handed neutrinos, then the resulting fermion structure admits an infinite number of anomaly-free solutions with just one simple constraint. Well-known…

High Energy Physics - Phenomenology · Physics 2017-01-18 Corey Kownacki , Ernest Ma , Nicholas Pollard , Mohammadreza Zakeri

Lepton number as a fourth color is an intriguing theoretical idea which is combined with a possible left-right symmetry within the famous Pati-Salam (PS) model. In the conventional PS model, a spontaneous breaking of the PS gauge group down…

High Energy Physics - Phenomenology · Physics 2018-12-12 Lorenzo Calibbi , Andreas Crivellin , Tianjun Li

We consider the Standard Model (SM) with the addition of a $\mathrm{U(1)^\prime}$ gauge symmetry and a complete fourth family of quarks and leptons which are vector-like with respect to the full $\mathrm{SU(3)_C}\times \mathrm{SU(2)_L}…

High Energy Physics - Phenomenology · Physics 2019-09-25 Junichiro Kawamura , Stuart Raby , Andreas Trautner

We discuss the role of the pseudo-Riemannian structure of the finite spectral triple for the family of Pati-Salam models. We argue that its existence is a very restrictive condition that separates leptons from quarks, and restricts the…

Mathematical Physics · Physics 2020-07-15 Arkadiusz Bochniak , Thomas E. Williams , Paweł Zalecki

Modular invariance has recently paved new promising directions in flavor model building. Motivated by this development, we present in this work the first implementation of the $S_3$ modular symmetry within the Pati-Salam unification…

High Energy Physics - Phenomenology · Physics 2025-06-18 Mohamed Belfkir , Mohamed Amin Loualidi , Salah Nasri