Aspects of Modular Flavor Symmetries

Michael Ratz

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Aspects of Modular Flavor Symmetries

Michael Ratz

High Energy Physics - Phenomenology · Submitted 1 May 2024

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim They rely on the remarkable properties of vector-valued modular forms.

how it is stated · asserted 1.00 read the record →

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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,810 input tokens.

What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.04 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.02 · compares with prior results 0.06 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

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 realization in string theory. They rely on the remarkable properties of vector-valued modular forms.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Modular flavor symmetries refers to scenarios in which fermion masses respect modular symmetries.	background 1.00	0.06	0.08	asserted 0.99
s1	Such scenarios have been studied in the bottom-up approach and have an explicit realization in string theory.	background 1.00	0.06	0.05	asserted 1.00
s2	They rely on the remarkable properties of vector-valued modular forms.	background 0.93	0.07	0.07	asserted 1.00

What kind of paper the classifier reports this is: review 0.81 · evidence from literature 0.64.

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arXiv listing abstract v1

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full text
figures and tables
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S sections
T body sentences
C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

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 realization in string theory. They rely on the remarkable properties of vector-valued modular forms.

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What this paper does with the arXiv papers it cites

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

What it cites · 26 sentences without a confident label

Cites as support 5 papers

It turns out that, in specific cases, they directly fix observables [ref] .

Modular invariant holomorphic observables · Modular invariant holomorphic observables · 0.98
Even moderate values of the $α_i>0$ coefficients lead to changes of the predicted values of observables which exceed the experimental error bars by far [ref] .

A note on the predictions of models with modular flavor symmetries · Problems with kinetic terms · 0.98
Nonetheless, a proof-of-principle solution to the problem in which the impact of these terms does not exceed the experimental uncertainties exists [ref] , but more research in this direction will be needed to arrive at a fully convincing picture.

Quasi-Eclectic Modular Flavor Symmetries · Problems with kinetic terms · 0.98

Cites as background 10 papers

More recently, a new scheme emerged: modular flavor symmetries [ref] .[It is beyond the scope, and page limit, of these proceedings to fully summarize all related activities, see e.g. [ref] for reviews and more references.] While the underlying symmetries have infinitely many elements, this approach hosts non-Abelian finite groups and naturally gives rise to hierarchies (cf. <Ref>).

Neutrino Mass and Mixing with Modular Symmetry · Theories of flavor · 0.94
More recently, a new scheme emerged: modular flavor symmetries [ref] .[It is beyond the scope, and page limit, of these proceedings to fully summarize all related activities, see e.g. [ref] for reviews and more references.] While the underlying symmetries have infinitely many elements, this approach hosts non-Abelian finite groups and naturally gives rise to hierarchies (cf. <Ref>).

The symmetry approach to quark and lepton masses and mixing · Theories of flavor · 0.94
More recently, a new scheme emerged: modular flavor symmetries [ref] .[It is beyond the scope, and page limit, of these proceedings to fully summarize all related activities, see e.g. [ref] for reviews and more references.] While the underlying symmetries have infinitely many elements, this approach hosts non-Abelian finite groups and naturally gives rise to hierarchies (cf. <Ref>).

Lepton Flavour Symmetries · Theories of flavor · 0.94

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