8 papers
Strong and Quark Mass Hierarchies from Modular Invariance
Xiang-Gan Liu, Michael Ratz, Alexander Stewart
The strong problem and quark mass hierarchies can probe the same ultraviolet structure. We show this by extending modular strong- solutions to non-Abel…
Modular Zeros
Xiang-Gan Liu, Michael Ratz
Modular symmetries are known to be powerful and have various remarkable properties. We point out that the structure of vector-valued modular forms (VVMFs) space leads to the absenc…
Scale-independent relations between neutrino mass parameters
Mu-Chun Chen, Shaheed Perez, Michael Ratz
Theories of flavor operate at various scales. Recently it has been pointed out that in the context of modular flavor symmetries certain combinations of observables are highly const…
Modular Flavor Symmetries and Fermion Mass Hierarchies
Mu-Chun Chen, Xueqi Li, Xiang-Gan Liu +1
We investigate fermion mass hierarchies in models with modular flavor symmetries. Several key conclusions arise from the observation that the determinants of mass matrices transfor…
Flavor Symmetries and Winding Modes
Xueqi Li, Xiang-Gan Liu, Hans Peter Nilles +2
Modular flavor symmetries have been proposed as a new way to address the flavor problem. It is known that they can emerge from string compactifications. We discuss this connection…
Multiple realizations of modular flavor symmetries and their phenomenology
Carlos Arriaga-Osante, Mu-Chun Chen, Ramon Diaz-Castro +4
We point out that specifying the finite modular group does not uniquely fix a modular flavor symmetry. We illustrate this using the finite modular group . Otherwise equivalent…
Aspects of Modular Flavor Symmetries
Michael Ratz
Modular flavor symmetries refers to scenarios in which fermion masses respect modular symmetries. Such scenarios have been studied in the bottom-up approach and have an explicit re…
Modular invariant holomorphic observables
Mu-Chun Chen, Xiang-Gan Liu, Xue-Qi Li +2
In modular invariant models of flavor, observables must be modular invariant. The observables discussed so far in the literature are functions of the modulus and its conjugate,…