Neutrino mass and mixing with modular symmetry
GJ Ding, S King - Reports on Progress in Physics, 2023 - iopscience.iop.org
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 …
strategies based on modular symmetry. After an introduction to neutrino mass and lepton …
Flavor structures of charged fermions and massive neutrinos
Z **ng - Physics Reports, 2020 - Elsevier
Most of the free parameters in the Standard Model (SM)—a quantum field theory which has
successfully elucidated the behaviors of strong, weak and electromagnetic interactions of all …
successfully elucidated the behaviors of strong, weak and electromagnetic interactions of all …
Quarks at the modular S4 cusp
I de Medeiros Varzielas, M Levy, JT Penedo… - Journal of High Energy …, 2023 - Springer
A bstract We analyse the possibility of describing quark masses, mixing and CP violation
in\({S} _4^{\prime}\) modular flavour models without flavons. We focus on the case where the …
in\({S} _4^{\prime}\) modular flavour models without flavons. We focus on the case where the …
The symmetry approach to quark and lepton masses and mixing
GJ Ding, JWF Valle - Physics Reports, 2025 - Elsevier
Abstract The Standard Model lacks an organizing principle to describe quark and lepton
“flavours”. Neutrino oscillation experiments show that leptons mix very differently from …
“flavours”. Neutrino oscillation experiments show that leptons mix very differently from …
Modular invariant dynamics and fermion mass hierarchies around τ= i
A bstract We discuss fermion mass hierarchies within modular invariant flavour models. We
analyse the neighbourhood of the self-dual point τ= i, where modular invariant theories …
analyse the neighbourhood of the self-dual point τ= i, where modular invariant theories …
[HTML][HTML] Matter matters in moduli fixing and modular flavor symmetries
V Knapp-Pérez, XG Liu, HP Nilles, S Ramos-Sánchez… - Physics Letters B, 2023 - Elsevier
Modular flavor symmetries provide us with a very compelling approach to the flavor problem.
It has been argued that moduli values close to some special values like τ= i or τ= ω provide …
It has been argued that moduli values close to some special values like τ= i or τ= ω provide …
Generalised CP symmetry in modular-invariant models of flavour
PP Novichkov, JT Penedo, ST Petcov… - Journal of High Energy …, 2019 - Springer
A bstract The formalism of combined finite modular and generalised CP (gCP) sym-metries
for theories of flavour is developed. The corresponding consistency conditions for the two …
for theories of flavour is developed. The corresponding consistency conditions for the two …
Modular A4 symmetry models of neutrinos and charged leptons
GJ Ding, SF King, XG Liu - Journal of High Energy Physics, 2019 - Springer
A bstract We present a comprehensive analysis of neutrino mass and lepton mixing in
theories with A 4 modular symmetry, where the only flavon field is the single modulus field τ …
theories with A 4 modular symmetry, where the only flavon field is the single modulus field τ …
Fermion mass hierarchies, large lepton mixing and residual modular symmetries
PP Novichkov, JT Penedo, ST Petcov - Journal of High Energy Physics, 2021 - Springer
A bstract In modular-invariant models of flavour, hierarchical fermion mass matrices may
arise solely due to the proximity of the modulus τ to a point of residual symmetry. This …
arise solely due to the proximity of the modulus τ to a point of residual symmetry. This …
Modular S4 and A4 symmetries and their fixed points: new predictive examples of lepton mixing
GJ Ding, SF King, XG Liu, JN Lu - Journal of High Energy Physics, 2019 - Springer
A bstract In the modular symmetry approach to neutrino models, the flavour symmetry
emerges as a finite subgroup Γ N of the modular symmetry, broken by the vacuum expec …
emerges as a finite subgroup Γ N of the modular symmetry, broken by the vacuum expec …