Anomaly-Free Discrete Gauge Symmetries in Froggatt-Nielsen Models
Anomaly-Free Discrete Gauge Symmetries in Froggatt-Nielsen Models
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DissertationPrüfungsdatum
23.06.2006Datum der Veröffentlichung
2006Erstgutachter
Dreiner, Herbert KarlZweitgutachter
Nilles, Hans-PeterMetadaten
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Inhalt
Discrete symmetries can forbid dangerous B- and L-violating operators in the supersymmetric Lagrangian. Due to the violation of global discrete symmetries by quantum gravity effects, the introduced discrete symmetry should be a remnant of a spontaneously broken local gauge symmetry.
Demanding anomaly freedom of the high-energy gauge theory, we determine all family-independent anomaly-free ZN symmetries which are consistent with the trilinear MSSM superpotential terms in Part I. We find one outstanding Z6 symmetry, proton hexality P6, which prohibits all B- and L-violating operators up to dimension five, except for the Majorana neutrino mass terms LHuLHu.
In Part II, we combine the idea that a discrete symmetry should have a gauge origin with the scenario of Froggatt and Nielsen. We construct concise U(1)X Froggatt-Nielsen models in which the Z3 symmetry baryon triality, B3, arises from U(1)X breaking. We choose this specific discrete gauge symmetry because it allows for R-parity violating interactions; thus neutrino masses can be explained without introducing right-handed neutrinos. We find six phenomenologically viable B3-conserving Froggatt-Nielsen models.
Demanding anomaly freedom of the high-energy gauge theory, we determine all family-independent anomaly-free ZN symmetries which are consistent with the trilinear MSSM superpotential terms in Part I. We find one outstanding Z6 symmetry, proton hexality P6, which prohibits all B- and L-violating operators up to dimension five, except for the Majorana neutrino mass terms LHuLHu.
In Part II, we combine the idea that a discrete symmetry should have a gauge origin with the scenario of Froggatt and Nielsen. We construct concise U(1)X Froggatt-Nielsen models in which the Z3 symmetry baryon triality, B3, arises from U(1)X breaking. We choose this specific discrete gauge symmetry because it allows for R-parity violating interactions; thus neutrino masses can be explained without introducing right-handed neutrinos. We find six phenomenologically viable B3-conserving Froggatt-Nielsen models.
Schlagwörter
Supersymmetrie, Baryonzahlerhaltung, Proton-Hexalität, Baryon-Trialität, Neutrinomassen, supersymmerty, baryon number conservation, proton hexality, baryon triality, neutrino masses
Klassifikation (DDC)
530 PhysikLuhn, Christoph: Anomaly-Free Discrete Gauge Symmetries in Froggatt-Nielsen Models. - Bonn, 2006. - Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn.
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5N-07710
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5N-07710
@phdthesis{handle:20.500.11811/2619,
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5N-07710,
author = {{Christoph Luhn}},
title = {Anomaly-Free Discrete Gauge Symmetries in Froggatt-Nielsen Models},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2006,
note = {Discrete symmetries can forbid dangerous B- and L-violating operators in the supersymmetric Lagrangian. Due to the violation of global discrete symmetries by quantum gravity effects, the introduced discrete symmetry should be a remnant of a spontaneously broken local gauge symmetry.
Demanding anomaly freedom of the high-energy gauge theory, we determine all family-independent anomaly-free ZN symmetries which are consistent with the trilinear MSSM superpotential terms in Part I. We find one outstanding Z6 symmetry, proton hexality P6, which prohibits all B- and L-violating operators up to dimension five, except for the Majorana neutrino mass terms LHuLHu.
In Part II, we combine the idea that a discrete symmetry should have a gauge origin with the scenario of Froggatt and Nielsen. We construct concise U(1)X Froggatt-Nielsen models in which the Z3 symmetry baryon triality, B3, arises from U(1)X breaking. We choose this specific discrete gauge symmetry because it allows for R-parity violating interactions; thus neutrino masses can be explained without introducing right-handed neutrinos. We find six phenomenologically viable B3-conserving Froggatt-Nielsen models.},
url = {https://hdl.handle.net/20.500.11811/2619}
}
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5N-07710,
author = {{Christoph Luhn}},
title = {Anomaly-Free Discrete Gauge Symmetries in Froggatt-Nielsen Models},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2006,
note = {Discrete symmetries can forbid dangerous B- and L-violating operators in the supersymmetric Lagrangian. Due to the violation of global discrete symmetries by quantum gravity effects, the introduced discrete symmetry should be a remnant of a spontaneously broken local gauge symmetry.
Demanding anomaly freedom of the high-energy gauge theory, we determine all family-independent anomaly-free ZN symmetries which are consistent with the trilinear MSSM superpotential terms in Part I. We find one outstanding Z6 symmetry, proton hexality P6, which prohibits all B- and L-violating operators up to dimension five, except for the Majorana neutrino mass terms LHuLHu.
In Part II, we combine the idea that a discrete symmetry should have a gauge origin with the scenario of Froggatt and Nielsen. We construct concise U(1)X Froggatt-Nielsen models in which the Z3 symmetry baryon triality, B3, arises from U(1)X breaking. We choose this specific discrete gauge symmetry because it allows for R-parity violating interactions; thus neutrino masses can be explained without introducing right-handed neutrinos. We find six phenomenologically viable B3-conserving Froggatt-Nielsen models.},
url = {https://hdl.handle.net/20.500.11811/2619}
}
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