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Randall-Sundrum Model as a Theory of FlavourIyer, Abhishek Muralidhar January 2013 (has links) (PDF)
The discovery of the Higgs boson by the LHC provided the last piece of the puzzle neces- sary for the Standard Model (SM) to be a successful theory of electroweak scale physics. However there exist various phenomenological reasons which serve as pointer towards the existence of physics beyond the Standard Model. For example the explanation for the smallness of the neutrino mass, baryon asymmetry of the universe, the presence of dark matter and dark energy etc. are not within purview of the Standard Model. Con- ceptual issues like the gauge hierarchy problem, weakness of gravity provide some of the theoretical motivation to pursue theories beyond the SM. We consider scenarios with warped extra-dimensions (Randall-Sundrum (RS) Model ) as our preferred candidate to answer some of the questions raised above. RS model gives an elegant geometric solution to address the hierarchy between the two fundamental scales of nature i.e. Planck scale and electroweak scale. In addition to this, the geometry of RS serves as a useful setup wherein the fermion mass hierarchy problem can also be solved. The goal of this thesis is to investigate whether RS model can be an acceptable theory of avour while at the same time serving as a solution to the hierarchy problem.
In Chapter[1] we begin with a brief introduction of the SM, highlighting issues which pro- vides the necessary motivation for constructing new physics models. Various candidates of Beyond Standard Model (BSM) physics are introduced and a few preliminaries es- sential to understand frameworks with additional spatial-dimensions ( at and warped) is provided. In Chapter[2] we specialize to the case of warped extra-dimensions and motivate the need to have the SM elds in the bulk. Mathematical details related to the analysis of various spin elds (0; 12; 1 and 2) in a warped background necessary to understand relevant phenomenology is provided.
The lack of knowledge of Dirac or Majorana nature of the neutrino leads to a wide variety of possibilities as far as neutrino mass generation is concerned. In Chapter[3] we focus on the leptonic sector where three cases of neutrino mass generation are consid- ered: a)Planck Scale lepton number violation (LLHH case) b) Dirac neutrinos c) Bulk Majorana mass terms. We then study the implications of each case on the charged lepton mass tting. The case with Planck scale lepton number violation in normal RS scenario requires large and negative values for the bulk mass parameters for the charged singlets cE. Dirac neutrinos and the case with Bulk Majorana mass terms give good t to data. For completeness, the ts for the hadronic sector is provided in the appendix.
In Chapter[4] avour violation for each of three cases introduced in Chapter[3] is studied. For the case with Planck scale lepton number violation, the non-perturbative Yukawa coupling between the SM singlets and the KK states render the higher order diagrams incalculable. Lepton avour violation (LFV) is particularly large for the Dirac case and the bulk Majorana case for low Kaluza-Klein(KK) mass scales. We then invoke the ansatz of Minimal Flavour violation to suppress LFV with low lying KK scales and examples of avour group is provided for both cases.
In Chapter[5] we present an example with a type II two Higgs doublet model applied to the LLHH case. The setup o ers a solution where LLHH scenario can be consistently realized in RS model, where the masses and mixing angles in the leptonic sector can bet with O(1) choice of bulk parameters.
Assumption of global lepton number conservation (like in Dirac neutrinos) could lead to problems in theories of quantum gravity where it does not hold. This leads us to the question whether Dirac neutrinos can be naturally realized in nature. In Chapter[6] we consider the special case of bulk Majorana mass encountered in Chapter[3] where the bulk Dirac mass terms for the right handed neutrino is set to zero. We nd that this leads to a case where the e ective zero mode neutrino mass is of Dirac type with negligible e ects from the tower of Majorana states.
In Chapter[7] we consider RS at the GUT scale which no longer serves as a solution to the hierarchy problem. SUSY is introduced in the bulk and the low energy SUSY serves as a solution to the hierarchy problem. Such models serve as a useful alternative to SUSY models with family symmetries (e.g. Froggatt-Nielsen Model). However the solutions to the Yukawa hierarchy problem are constrained due to anomaly cancellation conditions. In Chapter[8] supersymmetry breaking due to radion mediation in addition to brane localized sources is considered and detailed analysis of the running of soft masses and the low energy avour observables is considered for both cases separately. In Chapter[9] we conclude and present future directions.
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[en] CONSTRAINING MAJORANA CP PHASE IN PRECISION ERA OF COSMOLOGY AND DOUBLE BETA DECAY EXPERIMENT / [pt] VINCULANDO A FASE DE VIOLAÇÃO DE CP DE NEUTRINOS DE MAJORANA NA ERA DE PRECISÃO DA COSMOLOGIA E DOS EXPERIMENTOS DE DUPLO DECAIMENTO BETA04 November 2021 (has links)
[pt] Atualmente podemos determinar com grande precisão os parâmetros das massas e misturas dos neutrinos. Porém, mesmo que no futuro as incertezas sobres as medidas destes parâmetros sejam reduzidas
considerablemente, talvez algumas questões ainda continuem em aberto, como por exemplo, o valor absoluto da massa dos neutrinos, a hierarquia de massa e também determinar se os neutrinos são de Majorana ou Dirac, e se forem de Majorana, então quais seriam os valores das fases de CP? Nesta
tese, nós abordamos parte destas questões estudando a detetabilidade da fase CP de Majorana através das medidas de massa dos neutrinos, que são extraídas de experimentos de decaimento beta, duplo decaimento beta sem neutrinos e observações cosmológicas. Para quantificar a sensibilidade dos
experimentos à fase de Majorana, além de usar os gráficos convencionais das regiões permitidas, usamos a função de exclusão, definida como uma fração no espaço de parâmentros CP, que é excluída quando um conjunto de parâmetros de entrada é fornecido. A sensibilidade dos experimentos é considerada quando variamos as incertezas desde o valor mais pessimista até o valor mais optimista e também incluímos o erro experimental devido à matriz de elementos nucleares. Com esta análise, encontramos que a fase de
Majorana, denotada como a21, pode ser restringida ao ser excluído o espaço de parâmentros entre um 10 por cento e até 50 por cento, com um nível de confiança de 3o, isto se consideramos que a massa do neutino mais leve é 0.1eV. Também são tratados aspectos característicos da sensibilidade à fase a21, como por exemplo, a dependência à outra fase de Majorana a31. Para finalizar, nós estudamos o caso de se na atualidade, a incerteza do elemento de matriz nuclear pode ser limitado usando as medidas dos mesmos experimentos. / [en] Nowdays we are in a precision epoch where is possible to get accurately
the parameters that involve the neutrino physics, however, even that in
the future the uncertainties on those parameters will decrease enormously,
perhaps still will continue some open question, for instance, what is the
absolute mass of neutrinos? What is the hierarchy of the masses? Are the
neutrinos Majorana or Dirac? And if they were Majorana, what would be
the value of the CP phases? In this work, we studying the detectability
of the CP phase through experiments of neutrino beta decay, neutrinoless
double beta decay and cosmology. In order to quantify the sensitivity to the
Majorana phase we use the CP exlusion fraction, it is a fraction of region of
the CP phase, that is excluded for a given set of assumed input parameters.
The experiments sensitivity is account when it is varied since the pessimistic
to optimistic one, assumptions of the experimental erros, the uncertainty
of nuclear matrix elements and all the scenarios are considering with the
Normal and Inverted hierarchies. We find that a Majorana phase, the called
a21 can be constrained strongly by excluded 10 − 50 per cent of phase space at
3o CL for the lowest neutrino mass of 0.1 eV. The characteristic features
of the sensitivity to a21, such as dependences on the other phase a31 are
addressed. We also arise the question of whether the uncertainties of nuclear
matrix elements could be constrined be consistancy of such measurements.
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