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Eclectic flavor groups arising from string compactifications combine the power of modular and traditional flavor symmetries to address the flavor puzzle. This top-down scheme determines the representations and modular weights of all matter…

High Energy Physics - Phenomenology · Physics 2022-10-03 Alexander Baur , Hans Peter Nilles , Saul Ramos-Sanchez , Andreas Trautner , Patrick K. S. Vaudrevange

In a consistent top-down approach based on orbifold compactifications, modular and traditional flavor symmetries combine nontrivially to the so-called eclectic flavor symmetry. We extend this scheme from two extra dimensions, discussed…

High Energy Physics - Theory · Physics 2020-07-22 Hans Peter Nilles , Saul Ramos-Sanchez , Patrick K. S. Vaudrevange

We discuss aspects of a promising top-down origin of flavor symmetries in particle physics. Modular transformations originating from string theory dualities are shown to play a crucial role. We introduce the notion of an "eclectic" flavor…

High Energy Physics - Phenomenology · Physics 2023-08-30 Hans Peter Nilles , Saul Ramos-Sanchez

String theory leads to a flavor scheme where modular symmetries play a crucial role. Together with the traditional flavor symmetries they combine to an eclectic flavor group, which we determine via outer automorphisms of the Narain space…

High Energy Physics - Theory · Physics 2021-04-22 Hans Peter Nilles , Saúl Ramos-Sánchez , Patrick K. S. Vaudrevange

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 in detail, and show how the congruence subgroups of SL(2,Z),…

High Energy Physics - Theory · Physics 2025-06-19 Xueqi Li , Xiang-Gan Liu , Hans Peter Nilles , Michael Ratz , Alex Stewart

Modular transformations of string theory are shown to play a crucial role in the discussion of discrete flavor symmetries in the Standard Model. They include CP transformations and provide a unification of CP with traditional flavor…

High Energy Physics - Theory · Physics 2021-05-14 Hans Peter Nilles , Saul Ramos-Sanchez , Patrick K. S. Vaudrevange

Heterotic orbifolds can explain the origin of flavor symmetries and the flavor representations of matter fields in particle physics as a result of the geometric properties of the associated string states in the compact space. After a review…

High Energy Physics - Theory · Physics 2017-11-22 Saul Ramos-Sanchez

We review recent results on string coupling selection rules for heterotic orbifolds, derived using conformal field theory. Such rules are the first step towards understanding the viability of the recently obtained compactifications with…

High Energy Physics - Theory · Physics 2015-06-18 Susha L. Parameswaran , Ivonne Zavala

The framework of compactified heterotic string theory offers consistent ultraviolet (UV) completions of the Standard Model (SM) of particle physics. In this approach, the existence of flavor symmetries beyond the SM is imperative and the…

High Energy Physics - Phenomenology · Physics 2023-02-27 Andreas Trautner

Modular transformations of string theory (including the well-known stringy dualities) play a crucial role in the discussion of discrete flavor symmetries in the Standard Model. They are at the origin of CP transformations and provide a…

High Energy Physics - Theory · Physics 2019-10-02 Alexander Baur , Hans Peter Nilles , Andreas Trautner , Patrick K. S. Vaudrevange

A top-down approach to the flavor problem motivated from string theory leads to the concept of eclectic flavor groups that combine traditional and modular flavor symmetries. To make contact with models constructed in the bottom-up approach,…

High Energy Physics - Phenomenology · Physics 2020-08-26 Hans Peter Nilles , Saul Ramos-Sanchez , Patrick K. S. Vaudrevange

We study the origin of non-Abelian discrete flavor symmetries in superstring theory. We classify all possible non-Abelian discrete flavor symmetries which can appear in heterotic orbifold models. These symmetries include D_4 and Delta(54).…

High Energy Physics - Phenomenology · Physics 2008-11-26 Tatsuo Kobayashi , Hans Peter Nilles , Felix Plöger , Stuart Raby , Michael Ratz

The framework of compactified heterotic string theory offers consistent ultraviolet (UV) completions of the Standard Model (SM) of particle physics. In this approach, the existence of flavor symmetries beyond the SM is imperative and the…

High Energy Physics - Theory · Physics 2022-04-15 Andreas Trautner

We briefly review attempts to construct string theories that yield the standard model, concentrating on models with a geometric interpretation. Calabi-Yau compactifications are discussed in the context of both the weakly coupled heterotic…

High Energy Physics - Theory · Physics 2007-05-23 D. Bailin , G. V. Kraniotis , A. Love

There are many conceivable possibilities of embedding the MSSM in string theory. These proceedings describe an approach which is based on grand unification in higher dimensions. This allows one to obtain global string-derived models with…

High Energy Physics - Theory · Physics 2010-04-06 Michael Ratz

We review efforts in string model building, focusing on the heterotic orbifold compactifications. We survey how one can, starting from an explicit string theory, obtain models which resemble Nature. These models exhibit the standard model…

High Energy Physics - Theory · Physics 2024-01-09 Saul Ramos-Sanchez , Michael Ratz

The simultaneous study of top-down and bottom-up approaches to modular flavor symmetry leads necessarily to the concept of eclectic flavor groups. These are nontrivial products of modular and traditional flavor symmetries that exhibit the…

High Energy Physics - Phenomenology · Physics 2020-03-18 Hans Peter Nilles , Saul Ramos-Sanchez , Patrick K. S. Vaudrevange

Flavor symmetry plays a crucial role in the standard model of particle physics but its origin is still unknown. We develop a new method (based on outer automorphisms of the Narain space group) to determine flavor symmetries within…

High Energy Physics - Theory · Physics 2019-06-05 Alexander Baur , Hans Peter Nilles , Andreas Trautner , Patrick K. S. Vaudrevange

Only four $\mathbb{T}^2/\mathbb{Z}_K$ orbifold building blocks are admissible in heterotic string compactifications. We investigate the flavor properties of all of these building blocks. In each case, we identify the traditional and modular…

High Energy Physics - Theory · Physics 2024-06-13 Alexander Baur , Hans Peter Nilles , Saul Ramos-Sanchez , Andreas Trautner , Patrick K. S. Vaudrevange

In this paper we show how some flavor symmetries may be derived from the heterotic string, when compactified on a 6D orbifold. In the body of the paper we focus on the $D_4$ family symmetry, recently obtained in $Z_3 \times Z_2$ orbifold…

High Energy Physics - Phenomenology · Physics 2014-02-18 Pyungwon Ko , Tatsuo Kobayashi , Jae-hyeon Park , Stuart Raby
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