Skip to main content

LUP Student Papers

LUND UNIVERSITY LIBRARIES

Deriving the Flavor Structure of the Standard Model from Trinification

Koppers, August LU (2024) FYTM05 20232
Particle and nuclear physics
Department of Physics
Abstract
This thesis presents the derivation of the flavor structure of the Standard Model (SM) from the trinification model with an additional family symmetry. The trinification group is assumed to be broken in a single step to the electroweak gauge group. A low energy Effective Field Theory (EFT) is constructed and matched numerically at one loop level to the trinification model at high energies. The analysis focuses on an SM-like EFT with one Higgs-doublet, two scalar Lepto-Quarks (LQs), and one Vector-Like-Quark (VLQ) in the scalar potential. This is motivated by a numerical scan over the possible mass spectra. For parameter space points satisfying the correct mass spectrum at tree level, loop corrections are added, and the parameters are... (More)
This thesis presents the derivation of the flavor structure of the Standard Model (SM) from the trinification model with an additional family symmetry. The trinification group is assumed to be broken in a single step to the electroweak gauge group. A low energy Effective Field Theory (EFT) is constructed and matched numerically at one loop level to the trinification model at high energies. The analysis focuses on an SM-like EFT with one Higgs-doublet, two scalar Lepto-Quarks (LQs), and one Vector-Like-Quark (VLQ) in the scalar potential. This is motivated by a numerical scan over the possible mass spectra. For parameter space points satisfying the correct mass spectrum at tree level, loop corrections are added, and the parameters are Renormalization Group (RG)-evolved down to the electroweak symmetry-breaking scale, at which predictions of the quark mass hierarchy and CKM matrix are compared to observations. The results reveal that the constructed EFT cannot accurately reproduce the correct SM quark masses, indicating the need for multiple Higgs particles to reproduce the observed SM, resulting in strong constraints on further considerations of this model. (Less)
Popular Abstract
It has long been known that the objects we interact with in everyday life are constituted by atoms. These atoms, in turn, consist of electrons, protons and neutrons, with the latter two being further composed of quarks. The electrons and quarks are known as elementary particles, meaning nothing constitutes them, which together with other elementary particles form the Standard Model of particle physics.

The Standard Model is, without doubt, one of the most successful descriptions of reality, describing the interactions of all elementary particles. Yet, despite its success, experimental contradictions questioning its completion have surfaced. This motivates the search for new models describing the experimentally verified part of the... (More)
It has long been known that the objects we interact with in everyday life are constituted by atoms. These atoms, in turn, consist of electrons, protons and neutrons, with the latter two being further composed of quarks. The electrons and quarks are known as elementary particles, meaning nothing constitutes them, which together with other elementary particles form the Standard Model of particle physics.

The Standard Model is, without doubt, one of the most successful descriptions of reality, describing the interactions of all elementary particles. Yet, despite its success, experimental contradictions questioning its completion have surfaced. This motivates the search for new models describing the experimentally verified part of the Standard Model, whilst solving its anomalies.

One such model that aims to both be consistent with the Standard Model and address its limitations is the trinification model, consisting of a larger symmetry group that is symmetric between left and right-handed particles. Studying the trinification model presents the opportunity to receive insight into many features of the elementary particles of the Standard Model, such as the origin of the large mass differences among the quarks, the existence of dark matter, and the observation of matter anti-matter asymmetry. (Less)
Please use this url to cite or link to this publication:
author
Koppers, August LU
supervisor
organization
course
FYTM05 20232
year
type
H2 - Master's Degree (Two Years)
subject
keywords
Trinification, Grand Unification, GUT, Spontaneous symmetry breaking, Effective Field Theory, EFT, Renormalization group flow, Beyond standard model, BSM, Theoretical Particle Physics
language
English
id
9156656
date added to LUP
2024-06-11 09:12:13
date last changed
2024-06-11 09:12:13
@misc{9156656,
  abstract     = {{This thesis presents the derivation of the flavor structure of the Standard Model (SM) from the trinification model with an additional family symmetry. The trinification group is assumed to be broken in a single step to the electroweak gauge group. A low energy Effective Field Theory (EFT) is constructed and matched numerically at one loop level to the trinification model at high energies. The analysis focuses on an SM-like EFT with one Higgs-doublet, two scalar Lepto-Quarks (LQs), and one Vector-Like-Quark (VLQ) in the scalar potential. This is motivated by a numerical scan over the possible mass spectra. For parameter space points satisfying the correct mass spectrum at tree level, loop corrections are added, and the parameters are Renormalization Group (RG)-evolved down to the electroweak symmetry-breaking scale, at which predictions of the quark mass hierarchy and CKM matrix are compared to observations. The results reveal that the constructed EFT cannot accurately reproduce the correct SM quark masses, indicating the need for multiple Higgs particles to reproduce the observed SM, resulting in strong constraints on further considerations of this model.}},
  author       = {{Koppers, August}},
  language     = {{eng}},
  note         = {{Student Paper}},
  title        = {{Deriving the Flavor Structure of the Standard Model from Trinification}},
  year         = {{2024}},
}