El objetivo central de este trabajo es presentar a los objetos extendidos tipo p-branas como soluciones a la teoría de supergravedad, estudiando en detalle la geometría, la masa y las cargas que tienen asociadas cuando se piensa en ellas como fuentes. Partiendo de la acción general de Einstein, la cual describe un sistema clásico de D-dimensiones, que involucra al tensor métrico, a un campo escalar y un potencial de gauge, se obtienen las ecuaciones dinámicas de los campos, las cuales son resueltas usando un ansatz que permite acoplar las p-branas a la supergravedad. Luego se presentan algunos ejemplos de aplicación en teorías de Supergravedad (SUGRA), y finalmente se tocará el tema de las branas negras.

El objetivo central de este trabajo es presentar a los objetos extendidos tipo p-branas como soluciones a la teoría de supergravedad, estudiando en detalle la geometría, la masa y las cargas que tienen asociadas cuando se piensa en ellas como fuentes. Partiendo de la acción general de Einstein, la cual describe un sistema clásico de D-dimensiones, que involucra al tensor métrico, a un campo escalar y un potencial de gauge, se obtienen las ecuaciones dinámicas de los campos, las cuales son resueltas usando un ansatz que permite acoplar las p-branas a la supergravedad. Luego se presentan algunos ejemplos de aplicación en teorías de Supergravedad (SUGRA), y finalmente se tocará el tema de las branas negras.

The discovery of the Higgs boson in the 8 TeV run of the LHC [1, 2] marks one of the most important milestones in particle physics. Its mass is already known rather precisely: mh = 125.09 ± 0.21 (stat.) ±0.11 (syst.) GeV [3], and the signal strength of various LHC searches has been found consistent with the SM predictions. While this completes the Standard Model (SM) particle-wise, several questions still remain open, for example: (i) Is it possible to include the SM in a grand unified theory where all gauge forces unify? (ii) Is there a particle physics explanation of the observed dark matter relic density? (iii) What causes the hierarchy in the fermion mass spectrum and why are neutrinos so much lighter than the other fermions? What causes the observed mixing patterns in the fermion sector? (iv) What stabilizes the Higgs mass at the electroweak scale? Supersymmetric model address several of these questions and consequently the search for supersymmetry (SUSY) is among the main priorities of the LHC collaborations. Up to now no significant sign for physics beyond SM has been found. The combination of the Higgs discovery with the (yet) unsuccessful searches has led to the introduction of a model class called ‘natural SUSY’ [4–15]. Here, the basic idea is to give electroweak-scale masses only to those SUSY particles giving a sizeable contribution to the mass of the Higgs boson, such that a too large tuning of parameters is avoided. All other particle masses are taken at the multi-TeV scale. In particular, masses of the order of a few hundred GeV up to about one TeV are assigned to the higgsinos (the partners of the Higgs bosons), the lightest stop (the partner of the top-quark) and, if the latter is mainly a left-stop, also to the light sbottom In addition the gluino and the heavier stop masses should also be close to at most a few TeV. Neutrino oscillation experiments confirm that at least two neutrinos have a non-zero mass. The exact mass generation mechanism for these particles is unknown, and both the SM and the MSSM remain agnostic on this topic. Although many ways to generate neutrino mass exist, perhaps the most popular one is the seesaw mechanism [16–21]. The main problem with the usual seesaw mechanisms lies on the difficulty in testing its validity. In general, if Yukawa couplings are sizeable, the seesaw relations require Majorana neutrino masses to be very large, such that the new heavy states cannot be produced at colliders. In contrast, if one requires the masses to be light, then the Yukawas need to be small, making production cross-sections and decay rates to vanish. A possible way out of this dilemma lies on what 3 is called the inverse seesaw [22], which is based on having specific structures on the mass matrix (generally motivated by symmetry arguments) to generate small neutrino masses. This, at the same time, allows Yukawa couplings to be large, and sterile masses to be light. We consider here a supersymmetric model where neutrino data are explained via a minimal inverse seesaw scenario where the gauge-singlet neutrinos have masses in the range O(keV) to O(100 GeV). We explore this with a parametrization built for the standard seesaw, and go to the limit where the inverse seesaw emerges, such that Yukawas and mixings become sizeable. Although non-SUSY versions of this scenario can solve the dark matter and matter-antimatter asymmetry problems [23–25], we shall make no claim on these issues in our model. In view of the naturalness arguments, we further assume that the higgsinos have masses of O(100 GeV), whereas the gaugino masses lie at the multi-TeV scale (see [26] for an example of such a scenario). In addition, we assume all squarks are heavy enough such that LHC bounds are avoided, and play no role in the phenomenology within this work1. In contrast we allow for fairly light sleptons and investigate the extent to which current LHC data can constrain such scenarios. This paper is organized as follows: in the next section we present the model. Section III summarizes the numerical tools used and gives an overview of the LHC analysis used for these investigations. In Section IV we present our findings for the two generic scenarios which differ in the nature of the lighest supersymmetric particle (LSP): a Higgsino LSP and a sneutrino LSP. In Section V we draw our conclusions. Appendices A and B give the complete formulae for the neutrino and sneutrino masses. / Tesis

Submitted by LUIS MAX GUILLEN QUIROZ null (luismax@ift.unesp.br) on 2016-05-10T15:29:35Z No. of bitstreams: 1 Pure-Spinor-Superfield-Formalism-MasterDissertation.pdf: 748046 bytes, checksum: dc1994a99330048c6f153d322a0863ee (MD5) / Rejected by Felipe Augusto Arakaki (arakaki@reitoria.unesp.br), reason: Solicitamos que realize uma nova submissão seguindo as orientações abaixo: O arquivo submetido está sem a ficha catalográfica e folha de aprovação. Lembramos que a versão submetida por você é considerada a versão final da dissertação/tese, portanto não poderá ocorrer qualquer alteração em seu conteúdo após a aprovação. Corrija estas informações e realize uma nova submissão contendo o arquivo correto. Agradecemos a compreensão. on 2016-05-13T12:10:28Z (GMT) / Submitted by LUIS MAX GUILLEN QUIROZ null (luismax@ift.unesp.br) on 2016-09-22T03:10:43Z No. of bitstreams: 1 Pure-Spinor-Superfield-Formalism-MasterDissertation.pdf: 748046 bytes, checksum: dc1994a99330048c6f153d322a0863ee (MD5) / Approved for entry into archive by Juliano Benedito Ferreira (julianoferreira@reitoria.unesp.br) on 2016-09-27T14:13:13Z (GMT) No. of bitstreams: 1 quiroz_lmg_me_ift.pdf: 748046 bytes, checksum: dc1994a99330048c6f153d322a0863ee (MD5) / Made available in DSpace on 2016-09-27T14:13:13Z (GMT). No. of bitstreams: 1 quiroz_lmg_me_ift.pdf: 748046 bytes, checksum: dc1994a99330048c6f153d322a0863ee (MD5) Previous issue date: 2016-03-07 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / E bem conhecido como descrever as teor´ıas de Super Yang-Mills (SYM) ´ em D = 10 dimens˜oes e Supergravidade (SG) em D = 11 dimens˜oes no superespa¸co e via seus campos componentes. No entanto, uma nova vers˜ao desses modelos foi formulada nos finais da d´ecada de 2000, quando Martin Cederwall usando o formalismo de supercampo de espinor puro conseguiu construir uma pure spinor a¸c˜ao, que a diferen¸ca das anteriores abordagens, esta n˜ao precisa de impor constraints a m˜ao, proporciona uma descri¸c˜ao completa de cada modelo (no sentido do formalismo BV) e as equa¸c˜oes do movimento obtidas a partir do respectivo principio de a¸c˜ao s˜ao supersim´etricas. Neste trabalho iremos explicar toda a base necess´aria para entender a constru¸c˜ao de tal formalismo. Para esse prop´osito, come¸caremos estudando a teoria SYM (abeliana) em D = 10 em suas formula¸c˜oes em componentes e no superespa¸co. Usaremos a a¸c˜ao da formula¸c˜ao on-shell para quantizar a teoria via o formalismo de Batalin-Vilkovisky (BV). Seguiremos para SG em D = 11 e estudaremos suas formula¸c˜oes em componentes e no superespa¸co. Ent˜ao iremos mostrar que podemos obter o mesmo espectro f´ısico de SYM em D = 10 (SG em D = 11) estudando a superpart´ıcula em D = 10 (D = 11) na calibre do cone de luz. De forma a ter uma quantiza¸c˜ao covariante desses modelos, introduziremos a superpart´ıcula de espinor puro em D = 10 (D = 11), a qual possui o operador BRST usual de espinor puro (Q = λD). Verificar-se-´a que a cohomologia desse operador coincidir´a com a teoria SYM em D=10 (SG em D=11) linearizada depois de ser quantizada via o formalismo BV. Esse resultado introduzir´a naturalmente a ideia de construir a¸c˜oes usando um supercampo de espinor puro. Finalmente, explicaremos como o formalismo de supercampo de espinor puro surge nesse contexto e como podemos us´a-lo para construir a¸c˜oes manifestamente supersim´etricas para SYM em D=10 e SG em D=11. / It is well known how to describe the D = 10 (SYM) Super Yang-Mills and D = 11 (SG) Supergravity theories on superspace and by component fields. However, a new version of these models was formulated in the late 2000, when Martin Cederwall using the pure spinor superfield formalism achieved to construct a pure spinor action for these theories, which unlike the previously mentioned approaches, this does not require to impose any constraint by hand, provides a full description of each model (in the BV sense) and the equations of motion coming from the corresponding action principle are supersymmetric. In this work we will explain all the background required to understand the construction of this action. For this purpose, we will start with the D=10 (abelian) SYM theory in its component and superspace formulations. We will use the action of the on-shell formulation to quantize the theory via the Batalin-Vilkovisky framework. We will move to D=11 supergravity and study its component and superspace formulations. Then we will show that we can obtain the same physical spectrum of D = 10 SYM (D = 11 SG) by studying the D = 10 (D = 11) superparticle in the light-cone gauge. In order to have a covariant quantization of these models, we will introduce the D = 10 (D = 11) pure spinor superparticle, which possesses the usual pure spinor BRST operator (Q = λD). It will turn out that the cohomology of this operator will coincide with the linearized D = 10 SYM (D = 11 SG) theory after being quantized via BV-formalism. This result will introduce naturally the idea of constructing pure spinor actions. Finally, we will explain how the pure spinor superfield framework arises in this context and how we can use it to construct manifestly supersymmetric actions for D = 10 SYM and D = 11 SG.

The discovery of the Higgs boson in the 8 TeV run of the LHC [1, 2] marks one of the most important milestones in particle physics. Its mass is already known rather precisely: mh = 125.09 ± 0.21 (stat.) ±0.11 (syst.) GeV [3], and the signal strength of various LHC searches has been found consistent with the SM predictions. While this completes the Standard Model (SM) particle-wise, several questions still remain open, for example: (i) Is it possible to include the SM in a grand unified theory where all gauge forces unify? (ii) Is there a particle physics explanation of the observed dark matter relic density? (iii) What causes the hierarchy in the fermion mass spectrum and why are neutrinos so much lighter than the other fermions? What causes the observed mixing patterns in the fermion sector? (iv) What stabilizes the Higgs mass at the electroweak scale? Supersymmetric model address several of these questions and consequently the search for supersymmetry (SUSY) is among the main priorities of the LHC collaborations. Up to now no significant sign for physics beyond SM has been found. The combination of the Higgs discovery with the (yet) unsuccessful searches has led to the introduction of a model class called ‘natural SUSY’ [4–15]. Here, the basic idea is to give electroweak-scale masses only to those SUSY particles giving a sizeable contribution to the mass of the Higgs boson, such that a too large tuning of parameters is avoided. All other particle masses are taken at the multi-TeV scale. In particular, masses of the order of a few hundred GeV up to about one TeV are assigned to the higgsinos (the partners of the Higgs bosons), the lightest stop (the partner of the top-quark) and, if the latter is mainly a left-stop, also to the light sbottom In addition the gluino and the heavier stop masses should also be close to at most a few TeV. Neutrino oscillation experiments confirm that at least two neutrinos have a non-zero mass. The exact mass generation mechanism for these particles is unknown, and both the SM and the MSSM remain agnostic on this topic. Although many ways to generate neutrino mass exist, perhaps the most popular one is the seesaw mechanism [16–21]. The main problem with the usual seesaw mechanisms lies on the difficulty in testing its validity. In general, if Yukawa couplings are sizeable, the seesaw relations require Majorana neutrino masses to be very large, such that the new heavy states cannot be produced at colliders. In contrast, if one requires the masses to be light, then the Yukawas need to be small, making production cross-sections and decay rates to vanish. A possible way out of this dilemma lies on what 3 is called the inverse seesaw [22], which is based on having specific structures on the mass matrix (generally motivated by symmetry arguments) to generate small neutrino masses. This, at the same time, allows Yukawa couplings to be large, and sterile masses to be light. We consider here a supersymmetric model where neutrino data are explained via a minimal inverse seesaw scenario where the gauge-singlet neutrinos have masses in the range O(keV) to O(100 GeV). We explore this with a parametrization built for the standard seesaw, and go to the limit where the inverse seesaw emerges, such that Yukawas and mixings become sizeable. Although non-SUSY versions of this scenario can solve the dark matter and matter-antimatter asymmetry problems [23–25], we shall make no claim on these issues in our model. In view of the naturalness arguments, we further assume that the higgsinos have masses of O(100 GeV), whereas the gaugino masses lie at the multi-TeV scale (see [26] for an example of such a scenario). In addition, we assume all squarks are heavy enough such that LHC bounds are avoided, and play no role in the phenomenology within this work1. In contrast we allow for fairly light sleptons and investigate the extent to which current LHC data can constrain such scenarios. This paper is organized as follows: in the next section we present the model. Section III summarizes the numerical tools used and gives an overview of the LHC analysis used for these investigations. In Section IV we present our findings for the two generic scenarios which differ in the nature of the lighest supersymmetric particle (LSP): a Higgsino LSP and a sneutrino LSP. In Section V we draw our conclusions. Appendices A and B give the complete formulae for the neutrino and sneutrino masses.

The Standard Model (SM) of particle physics consists in a description of all the known elemen-tary particles and their interactions. As far as it is known, the SM has passed all experimental tests, but presents some imperfections such as the presence of neutrino masses and the hierarchy problem. This encourages to probe theories beyond the Standard Model (BSM) that could bring solutions to these problems. An interesting proposal is to search for neutral long lived particles (LLP). These type of particles have long decay lengths and can be generated by a variety of BSM models such as Supersymmetry (SUSY), which proposes a solution to the hierarchy problem, and the Seesaw Mechanism that generates massive neutrinos. The detection of the decay products of LLPs would contribute to the discovery of new physics. The objective of this work is to develop a toy detector based on C++ and Pythia8 with the purpose of creating a tool for searches of neutral long lived particles. All the features, including the geometric characteristics and the particle accep- tance are constructed with information from the sub detectors of the CMS experiment. We use a Minimal SUSY process that violates R parity (RPVMSSM) to simulate processes producing LLPs in MadGraph5 and study the response of the toy detector. We conclude our simulation properly recreates important experimental conditions, and is suitable as a first step towards an international competitive particle physics tool.