Quarks at the modular S4 cusp

de Medeiros Varzielas, I.; Levy, M.; Penedo, J. T.; Petcov, S. T.

doi:10.1007/jhep09(2023)196

Cited by 23 publications

(3 citation statements)

References 178 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We assume the canonical renormalisation effect due to the (minimal modular) Kahler potential to be absorbed into the modular form normalisation. The relevance of this for the concept of naturalness requires a dedicated study [52][53][54].…”

Section: Jhep05(2024)203mentioning

confidence: 99%

A modular SU (5) littlest seesaw

de Medeiros Varzielas,

King,

Levy

2024

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

We extend the littlest modular seesaw to a Grand Unified scenario based on SU (5) endowed with three modular S4 symmetries. We leverage symmetry protected zeroes in the leptonic and down quark sectors to suppress deviations to the littlest modular seesaw predictions, but not contributions to the quark mixing. The model is supplemented by two weighton fields, such that the hierarchical nature of the charged-lepton masses, as well as the quark masses and mixing, stem from the content and symmetries of the model, rather than a hierarchical nature of the Yukawa coefficients.

show abstract

Section: Jhep05(2024)203mentioning

confidence: 99%

A modular SU (5) littlest seesaw

de Medeiros Varzielas,

King,

Levy

2024

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…At the loci of enhanced symmetry, some of the masses and mixing angles of the quark-and lepton-sector might vanish. The explanation of small parameters and hierarchies in flavor physics can thus find an explanation if the modulus is located close to the fixed points or lines [52,[70][71][72][73][74][75][76][77][78]. The mechanism of moduli stabilization in string theory could therefore provide the ingredients to understand the mysteries of flavor [71,[79][80][81].…”

Section: Eclectic Flavor Groupsmentioning

confidence: 99%

Flavor’s Delight

Nilles,

Ramos-Sánchez

2024

Entropy

View full text Add to dashboard Cite

Discrete flavor symmetries provide a promising approach to understand the flavor sector of the standard model of particle physics. Top-down (TD) explanations from string theory reveal two different types of such flavor symmetries: traditional and modular flavor symmetries that combine to the eclectic flavor group. There have been many bottom-up (BU) constructions to fit experimental data within this scheme. We compare TD and BU constructions to identify the most promising groups and try to give a unified description. Although there is some progress in joining BU and TD approaches, we point out some gaps that have to be closed with future model building.

show abstract

“…See [250] for more numerical results. The closeness of the modulus to the modular symmetry fixed points can also help to explain the quark mass hierarchies [255,256]. Furthermore, it is shown that the modular symmetry models exhibit a universal behavior in the vicinity of fixed points, independent of details of the models such as the modular weights and representation assignments of matter field under the finite modular groups [251,252].…”

Section: Mass Hierarchies Large Lepton Mixing and Residual Modular Sy...mentioning

confidence: 99%

Neutrino mass and mixing with modular symmetry

Ding,

King

2024

Rep. Prog. Phys.

View full text Add to dashboard Cite

This is a review article about neutrino mass and mixing and flavour model building strategies based on modular symmetry. After an introduction to neutrino mass and lepton mixing, we then turn to the main subject of this review, namely a pedagogical introduction to modular symmetry as a candidate for family symmetry, from the bottom-up point of view. After an informal introduction to modular symmetry, we introduce the modular group, and discuss its fixed points and residual symmetry, assuming supersymmetry throughout. We then introduce finite modular groups of level N and modular forms with integer or rational modular weights, corresponding to simple geometric groups or their double or metaplectic covers, including the most general finite modular groups and vector-valued modular forms, with detailed results for N=2,3,4,5. The interplay between modular symmetry and generalized CP symmetry is discussed, deriving CP transformations on matter multiplets and modular forms, highlighting the CP fixed points and their implications. In general, compactification of extra dimensions generally leads to a number of moduli, and modular invariance with factorizable and non-factorizable multiple moduli based on symplectic modular invariance and automorphic forms is reviewed. Modular strategies for understanding fermion mass hierarchies are discussed, including the weighton mechanism, small deviations from fixed points, and texture zeroes. Then examples of modular models are discussed based on single modulus A4 models, a minimal S′4 model of leptons (and quarks), and a multiple moduli model based on three S4 groups capable of reproducing the Littlest Seesaw model. We then extend the discussion to include Grand Unified Theories (GUTs) based on modular (flipped) SU(5) and SO(10). Finally we discuss top-down approaches, including eclectic flavour symmetry and moduli stabilisation.

show abstract

Quarks at the modular S4 cusp

Cited by 23 publications

References 178 publications

A modular SU (5) littlest seesaw

A modular SU (5) littlest seesaw

Flavor’s Delight

Neutrino mass and mixing with modular symmetry

Contact Info

Product

Resources

About