Flavor Hierarchies from Clockwork in SO(10) GUT

Babu, K. S.; Saad, Shaikh

doi:10.48550/arxiv.2007.16085

Cited by 3 publications

(5 citation statements)

References 93 publications

(145 reference statements)

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“…Many of these mechanisms rely on ingredients in new physics scenarios that aim at solving the gauge hierarchy problem. These include supersymmetry [45], radiative mechanisms [46,47], warped extra dimensions [48,49], and more recently the clockwork mechanism [50][51][52]. Dirac neutrino masses may also just arise at higher orders [53].…”

Section: Dirac Neutrino Massesmentioning

confidence: 99%

Neutrino Flavor Model Building and the Origins of Flavor and CP Violation: A Snowmass White Paper

Almumin¹,

Chen²,

Cheng³

et al. 2022

Preprint

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The neutrino sector offers one of the most sensitive probes of new physics beyond the Standard Model of Particle Physics (SM). The mechanism of neutrino mass generation is still unknown. The observed suppression of neutrino masses hints at a large scale, conceivably of the order of the scale of a Grand Unified Theory (GUT), a unique feature of neutrinos that is not shared by the charged fermions. The origin of neutrino masses and mixing is part of the outstanding puzzle of fermion masses and mixings, which is not explained in the SM. Flavor model building for both quark and lepton sectors is important in order to gain a better understanding of the origin of the structure of mass hierarchy and flavor mixing, which constitute the dominant fraction of the SM parameters.Recent activities in neutrino flavor model building based on non-Abelian discrete flavor symmetries and modular flavor symmetries have been shown to be a promising direction to explore. The emerging models provide a framework that has a significantly reduced number of undetermined parameters in the flavor sector. In addition, such framework affords a novel origin of CP violation from group theory, due to the intimate connection between physical CP transformation and group theoretical properties of non-Abelian discrete groups.Model building based on non-Abelian discrete flavor symmetries and their modular variants enables the particle physics community to interpret the current and anticipated upcoming data from neutrino experiments. Non-Abelian discrete flavor symmetries and their modular variants can result from compactification of a higher-dimensional theory. Pursuit of flavor model building based on such frameworks thus also provides the connection to possible UV completions, in particular to string theory. We emphasize the importance of constructing models in which the uncertainties of theoretical predictions are smaller than, or at most compatible with, the error bars of measurements in neutrino experiments. While there exist proof-of-principle versions of bottom-up models in which the theoretical uncertainties are under control, it is remarkable that the key ingredients of such constructions were discovered first in top-down model building. We outline how a successful unification of bottom-up and top-down ideas and techniques may guide us towards a new era of precision flavor model building in which future experimental results can give us crucial insights in the UV completion of the SM.

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Section: Dirac Neutrino Massesmentioning

confidence: 99%

Neutrino Flavor Model Building and the Origins of Flavor and CP Violation: A Snowmass White Paper

Almumin¹,

Chen²,

Cheng³

et al. 2022

Preprint

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show abstract

“…Eqs. (25,26) represent specific examples of more general class of conditions which reduces to Eq. ( 21) in case of the U (1) F singlet RH neutrinos.…”

Section: B With Rh Neutrinosmentioning

confidence: 99%

“…These constructions provide a platform to understand all the features listed above because of the correlations among the FN charges or bulk masses of various fermions. Several models exploiting this or similar mechanisms have been studied, see for example [17][18][19][20][21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Fermion mass hierarchies from supersymmetric gauged flavour symmetry in 5D

Patel

2020

Preprint

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A mechanism to generate realistic fermion mass hierarchies based on supersymmetric gauged U (1) F symmetry in flat five-dimensional (5D) spacetime is proposed. The fifth dimension is compactified on S 1 /Z 2 orbifold. The U (1) F gauge filed and the standard model fermions charged under the extra abelian symmetry along with their superpartners live in the 5D bulk. Bulk masses of fermions are generated by the vacuum expectation value of N = 2 superpartner of U (1) F gauge field, and they are proportional to U (1) F charges of respective fermions. This decides localization of fermions in the extra dimension, which in turn gives rise to exponentially suppressed Yukawa couplings in the effective 4D theory. Anomaly cancellation puts stringent constraints on the allowed U (1) F charges which leads to correlations between the masses of quarks and leptons. We perform an extensive numerical scan and obtain several solutions for anomaly-free U (1) F , which describe the observed pattern of fermion masses and mixing with all the fundamental parameters of order unity. It is found that the possible existence of SM singlet neutrinos substantially improves the spectrum of solutions by offering more freedom in choosing U (1) F charges. The model predicts Z boson mediating flavour violating interactions in both the quark and lepton sectors with the couplings which can be explicitly determined from the Yukawa couplings.

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“…The massive modes (the so-called clockwork "gears"), on the other hand, have nearly-flat distributions along the sites. This is the essence of the clockwork mechanism which has found its applications in not only the original motivations around axion physics [4,5,[9][10][11][12][13][14] but also in other contexts like flavor hierarchies in masses and mixings [15][16][17][18], neutrino masses [19][20][21], dark matter [22][23][24][25][26], neutron-antineutron oscillation [27] as well as inflationary cosmology [28][29][30]. The mechanism, in its present form, largely accommodates only Abelian groups, but discussions pertaining to non-Abelian clockwork theories can be found in refs.…”

Section: Introductionmentioning

confidence: 99%

“…Note that we drop the overall constant factor e 2σo here as it does not affect the form of the geometry 17. For the SM this means the independent mass parameter µ in the Higgs sector or, equivalently, the symmetry breaking scale v.…”

mentioning

confidence: 99%

A closed clockwork theory: ℤ2 parity and more

Choudhury

Maharana

2022

J. High Energ. Phys.

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We develop a new class of clockwork theories with an augmented structure of the near-neighbour interactions along a one-dimensional closed chain. Such a topology leads to new and attractive features in addition to generating light states with hierarchical couplings via the usual clockwork mechanism. For one, there emerges a ℤ2 symmetry under the exchange of fields resulting in a physical spectrum consisting of states, respectively even and odd under the exchange parity with a two-fold degeneracy at each level. The lightest odd particle, being absolutely stable, could be envisaged as a potential dark matter candidate. The theory can also be obtained as a deconstruction of a five-dimensional theory embedded in a geometry generated by a linear dilaton theory on a S1/ℤ2 orbifold with three equidistant 3-branes. Analogous to the discrete picture, the ℤ2 symmetry in the bulk theory necessitates the existence of a KK spectrum of even and odd states, with doubly degenerate modes at each KK level when subject to certain boundary conditions.

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Flavor Hierarchies from Clockwork in SO(10) GUT

Cited by 3 publications

References 93 publications

Neutrino Flavor Model Building and the Origins of Flavor and CP Violation: A Snowmass White Paper

Neutrino Flavor Model Building and the Origins of Flavor and CP Violation: A Snowmass White Paper

Fermion mass hierarchies from supersymmetric gauged flavour symmetry in 5D

A closed clockwork theory: ℤ2 parity and more

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