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Effective field theories (EFTs) provide frameworks to systematically improve perturbation expansions in quantum field theory. This improvement is essential in quantum chromodynamics (QCD) predictions, both at low energy in the description of low momentum hadron-hadron scattering and at high energy in the description of electron-positron, proton-proton, proton-electron collisions. It is also important in quantum electrodynamics (QED), when electrons interact with a high-intensity, long-wavelength classical field. I introduce the principles and methods of effective field theory and describe my work in three EFTs: First, in the perturbative QCD region, I use soft collinear effective theory (SCET) to prove that strong interaction soft radiation is universal and to increase the QCD accuracy to next-to-next-to-next-to leading logarithm order for new particle searches in hadron colliders. I also compute a new class of non-perturbative, large logarithmic enhancement arising near the elastic limits of deep inelastic scattering and Drell-Yan processes. Second, in the QCD confinement region, I use heavy hadron chiral perturbation theory to study near-threshold enhancements in the scattering of 𝐷 and 𝜋 mesons near the threshold for the excited 𝐷-meson state, 𝐷*, as well as in the scattering of 𝐷 and 𝐷* mesons near the threshold for the exotic hadron X(3872). This work provides a clear picture of the hadronic molecule X(3872) and more profound understanding of the nuclear force between hadrons. Finally, inspired by SCET, I construct a new electron-laser effective field theory to describe highly-relativistic electrons traveling in strong laser fields, extract the universal distribution of electrons in strong electromagnetic backgrounds and its evolution in energy from the separated momentum scales of emitted photons and classical radiation, and predict the rate of wide angle photon emission. I conclude with limitations of EFT methods and some perspectives on what new work may be achieved with these EFTs.

We present the new framework based on BFKL and DGLAP evolution equations in which the leading in(Q(_2)) and in(l/x) terms are treated on equal footing. We introduce a pair of coupled integro-difFerential equations for the quark singlet and the unintegrated gluon distribution. The observable structure functions are calculated using high energy factorisation approach. We also include the sub-leading in (l/x) effects via consistency constraint. We argue that the use of this constraint leads to more stable solution to the Pomeron intercept than that based on the NLO calculation of the BFKL equation alone and generates resummation to all orders of the major part of the subleading in (l/x) effects. The global fit to all available deep inelastic data is performed using a simple parametrisation of the non-perturbative region. We also present the results for the longitudinal structure function and the charm component of the F(_2) structure function. Next; we extend this approach to the low Q(^2) domain. At small distances we use the perturbative approach based on the unified BFKL/DGLAP equations and for large distances we use Vector Meson Dominance Model and, for the higher mass qq states, the additive quark approach. We show the results for the total cross section and for the ratio of the longitudinal and transverse structure functions. Finally, we calculate the dijet production and consider the decorrelation effects in the azimuthal distributions caused by the diffusion in the transverse momentum k(_r) of the exchanged gluon. Using the gluon distribution which is fixed by the fit to the DIS data we are able to make absolute predictions. We show the results for the dF(_r)/dɸ, the total cross section and also the distributions in Q(^2) as well as in the longitudinal momentum fraction of the gluon. Our theoretical predictions are confronted with the measurements made using ZEUS detector at HERA.

In this thesis we aim to test if Landau\'s two-component superfluid model is compatible with the quark-gluon-plasma description. We follow the test proposed by Chernodub et. al. [Two-component liquid model for the quark-gluon plasma. Theor. Math. Phys., v. 170, p. 211–216, 2012]. We start by reviewing the building process of a field theory with gauge symmetries and discussing the conservation laws associated to the theory’s symmetries. We explore the thermodynamic approach to quantum theory and the interesting fact that, when combined with a field theory, the path-integral formulation for quantum field theories emerges naturally. We also present the necessity of introducing a momentum cutoff into the theory and show that embedding space-time on a lattice is a way to introduce this cutoff and renormalize the theory. As a bonus, this also allows the numerical and non-perturbative evaluation of observables. We overview the phenomenological aspects of relativistic heavy-ion collisions and Landau’s two-component model for superfluids, along with a quantum-field-theory motivation for it, and explain details of the test proposed by Chernodub et. al.. Lastly, we show the implementation details of our simulation along with results. We do not see evidence that the proposed superfluid model is able to describe the plasma. We speculate that this might be caused by the absence of fermions in our simulations. / Nesta tese nosso objetivo é testar se o modelo de Landau de duas componentes para superfluidos é compatível com a descrição do plasma de quarks e glúons. Seguimos o teste proposto por Chernodub et. al. [Two-component liquid model for the quark-gluon plasma. Theor. Math. Phys., v. 170, p. 211–216, 2012]. Começamos revisando o processo de construção de uma teoria de campo com simetria de gauge e discutindo as leis de conservação associadas às simetrias da teoria. Exploramos a abordagem termodinâmica para teoria quântica e o interessante fato de que, quando combinada com uma teoria de campo, a formulação de integrais de trajetória para teorias quânticas de campo emerge naturalmente. Também apresentamos a necessidade de se introduzir um corte de momento na teoria, e mostramos que embutir o espaço-tempo em uma rede é um meio de introduzir o corte na teoria e renormalizá-la. Como um bônus, isso também permite o cálculo numérico e não-perturbativo de observáveis. Apresentamos um panorama dos aspectos fenomenológicos da colisão de íons pesados relativísticos e o modelo de duas componentes de Landau para superfluidos, bem como uma motivação de teoria quântica de campo para ele, e explicamos detalhes do teste proposto por Chernodub et. al.. Por fim, mostramos os detalhes de nossa implementação juntamente com nossos resultados. Não vemos evidência de que o modelo de superfluidod proposto seja capaz de descrever o plasma. Nós especulamos que isto possa ser causado pela ausência de férmions em nossas simulações.

Le sujet de cette thèse sont les amplitudes d'hélicités de la leptoproduction exclusive et diffractive du méson rho dans la limite de Regge perturbative et au-delà du twist dominant. La compréhension de pareils processus exclusifs en termes des constituants élémentaires de QCD est un important défi pour comprendre la structure des hadrons. On présente ici deux nouveaux modèles phénoménologiques basés sur la kT-factorisation des amplitudes d'hélicités en un facteur d'impact γ*(λ) → ρ(λ'), où λ et λ' dénotent les polarisations du photon virtuel et du méson rho, et le facteur d'impact du nucléon cible. Les facteurs d'impacts γ*(λ) → ρ(λ') sont calculés en utilisant la factorisation colinéaire pour séparer la partie molle du méson rho. Le premier modèle est obtenu en combinant les résultats respectivement de twist 2 et twist 3 des facteurs d'impacts où les deux polarisations sont longitudinales ou transverses, avec un modèle pour le facteur d'impact du nucléon et un modèle pour les distributions d'amplitudes du méson rho. Dans la seconde approche présentée dans cette thèse, on calcule ces facteurs d'impacts dans l'espace des paramètres d'impacts et on montre que l'amplitude de diffusion d'un dipôle de couleur avec le nucléon se factorise, permettant de combiner nos résultats avec un modèle de section efficace de dipôle. On obtient en très bon accord avec les données de H1 et ZEUS pour des virtualités plus grandes que quelques GeV. Nous discutons les résultats obtenus et les comparons à d'autres modèles existants. / This thesis deals with the computation of the helicity amplitudes of the exclusive diffractive rho meson leptoproduction in the perturbative Regge limit beyond the leading twist. The understanding of such exclusive processes in terms of the elementary constituents of QCD is a serious challenge to understand the hadronic structure. We present two new phenomenological models based on the kT-factorization of the helicity amplitudes in a γ*(λ) → ρ(λ') impact factor, where λ and λ' denote the polarizations of the virtual photon and the rho meson, and the nucleon target impact factor. The γ*(λ) → ρ(λ') impact factors are then computed using the collinear factorization of the rho meson soft part. The first model relies on the combination of the results respectively up to twist 2 and twist 3 for the impact factors where both polarizations are longitudinal or transverse, with a model for the nucleon impact factor and a model for the distribution amplitudes of the rho meson. In the second approach presented in this thesis, we derive these impact factors in impact parameter space and show that the color dipole scattering amplitude with the nucleon factorizes, allowing to use our results in combination with dipole cross-section models. We get a very good agreement with the data from H1 and ZEUS collaborations for virtualities higher than a few GeV. We discuss our results and compare them to other models.

Dans la limite des hautes énergies, la petite valeur de la constante de couplage de l'interaction forte peut être compensée par l'apparition de grands logarithmes de l'énergie dans le centre de masse. Toutes ces contributions peuvent être du même ordre de grandeur et sont resommées par l'équation de Balitsky-Fadin-Kuraev-Lipatov (BFKL). De nombreux processus ont été proposés pour étudier cette dynamique. L'un des plus prometteurs, proposé par Mueller et Navelet, est l'étude de la production de deux jets vers l'avant séparés par un grand intervalle en rapidité dans les collisions de hadrons. Un calcul BFKL ne prenant en compte que les termes dominants (approximation des logarithmes dominants ou LL) prédit une augmentation rapide de la section efficace avec l'augmentation de l'intervalle en rapidité entre les jets ainsi qu'une faible corrélation angulaire. Cependant, des calculs basés sur cette approximation ne purent pas décrire correctement les mesures expérimentales de ces observables au Tevatron. Dans cette thèse, nous étudions ce processus à l'ordre des logarithmes sous-dominants, ou NLL, en prenant en compte les corrections NLL aux facteurs d'impact, qui décrivent la transition d'un hadron initial vers un jet, et à la fonction de Green, qui décrit le couplage entre les facteurs d'impact. Nous étudions l'importance de ces corrections NLL et trouvons qu'elles sont très importantes, ce qui conduit à des résultats très différents de ceux obtenus à l'ordre des logarithmes dominants. De plus, ces résultats dépendent fortement du choix des échelles présentes dans ce processus. Nous comparons nos résultats avec des données récentes de la collaboration CMS sur les corrélations angulaires des jets Mueller-Navelet au LHC et ne trouvons pas un bon accord. Nous montrons que cela peut être corrigé en utilisant la procédure de Brodsky-Lepage-Mackenzie pour fixer le choix de l'échelle de renormalisation. Cela conduit à des résultats plus stables et une très bonne description des données de CMS. Finalement, nous montrons que, à l'ordre des logarithmes sous-dominants, l'absence de conservation stricte de l'énergie-impulsion (qui est un effet négligé dans un calcul BFKL) devrait être un problème beaucoup moins important qu'à l'ordre des logarithmes dominants. / In the high energy limit of QCD, the smallness of the strong coupling due to the presence of a hard scale can be compensated by large logarithms of the center of mass energy. All these logarithmically-enhanced contributions can be resummed by the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation. Many processes have been proposed to study these dynamics. Among the most promising ones is the production of two forward jets separated by a large interval of rapidity at hadron colliders, proposed by Mueller and Navelet. A BFKL calculation taking into account only dominant contributions (leading logarithmic, or LL, accuracy) predicts a strong rise of the cross section with increasing rapidity separation between the jets and a large decorrelation of their azimuthal angles. However, such LL calculations could not successfully describe measurements of these observables performed at the Tevatron. In this thesis, we study this process at next-to-leading logarithmic (NLL) accuracy, taking into account NLL corrections both to the impact factors, which describe the transition from an incoming hadron to a jet, and to the Green's function, which describes the coupling between the impact factors. We investigate the magnitude of these NLL corrections and find that they are very large, leading to very different results compared with a LL calculation. In addition, we find that these results are very dependent on the choice of the scales involved in the process. We compare our results with recent data from the CMS collaboration on the azimuthal correlations of Mueller-Navelet jets at the LHC and find a rather poor agreement. We show that this can be cured by using the Brodsky-Lepage-Mackenzie procedure to fix the renormalization scale. This leads to more stable results and a very good description of CMS data. Finally, we show that at NLL accuracy the absence of strict energy-momentum conservation (which is a subleading effect in a BFKL calculation) should be a much less severe issue than at LL accuracy.

O regime de altas energias (pequeno x de Bjorken) da Cromodinâmica Quântica (QCD) tem sido intensamente investigado através de experimentos de colisões em altas energias. Neste regime, espera-se que efeitos não lineares determinem o comportamento dinâmico do conteúdo de quarks e glúons no interior dos hádrons. Como uma consequência da dinâmica não linear, espera-se que o crescimento da distribuição de pártons sature. A descrição do regime de saturação é dada pelo Condensado de Vidros de Cor (CGC), que é uma teoria efetiva que descreve a QCD em altas energias. A saturação desempenha um papel fundamental no espalhamento difrativo profundamente inelástico, dada a forte dependência deste processo na distribuição de glúons. Como um exemplo de um processo difrativo exclusivo, temos a produção de mésons vetoriais. Um outro processo interessante é a produção de nêutrons dominantes. Apesar de mais de dez anos de intensos esforços teóricos e experimentais, a distribuição em momento de Feynman de um nêutron dominante continua sem uma descrição teórica satisfatória. Recentemente o HERA divulgou dados precisos de produção de nêutron dominante em altas energias. Os dados são de processos semi-inclusivos e de processos difrativos exclusivos (produção de méson rho). Nesta tese nós propomos um modelo unificado para descrever os dados do HERA de produção de nêutrons dominantes em processos semi-inclusivos e exclusivos. Para isso, utilizamos o formalismo de dipolo de cor, levando em conta os efeitos de saturação partônica. Atualmente não há colisor elétron-próton operando para testar a robustez do nosso modelo em relação a um conjunto de dados mais amplo. Uma alternativa para o estudo da produção de nêutron dominante nos colisores hadrônicos atuais são os processos fotoinduzidos, que ocorrem em colisões ultraperiféricas. Nós também estudamos a produção exclusiva de méson vetorial associada a nêutrons dominantes em interações fóton-próton que acontecem em colisões próton-próton e próton-núcleo nas energias do RHIC e LHC. / The regime of high energies (small Bjorken-x) of quantum chromodynamics (QCD) has been intensively investigated in experiments at high-energy collisions. In this regime it is expected that nonlinear effects determine the dynamic behavior of quarks and gluons inside the hadrons. As a consequence of the nonlinear dynamics, it is expected that the growth of the parton distribution saturate. The description of the saturation regime is given by the Color Glass Condensate (CGC), which is an effective theory which describes the QCD at high energies. The saturation plays a key role in diffractive deep inelastic scattering, given the strong dependence of this process in the gluon distribution. As an example of an exclusive diffractive process, we have vector meson production. Another interesting process is leading neutron production. In spite of more than ten years of intense experimental and theoretical efforts, the Feynman momentum distribution of leading neutrons remains without a satisfactory theoretical description. Very recently, high precision data on leading neutrons produced in electron-proton reactions at HERA at high energies became available: data on the inclusive process and the exclusive diffractive process (rho meson production). In this text we have proposed a unified model to describe the HERA data of inclusive and exclusive leading neutron production. To achieve this goal, we have used the color dipole formalism with the contribution of gluon saturation effects. Nowadays there is no electron-proton collider running to check some of our predictions. An alternative for the study of leading neutron production at hadronic colliders are the photon-induced processes, which occur in ultraperipheral collisions. We also consider exclusive vector meson production in association with a leading neutron in photon-proton interactions that take place in proton-proton and proton-nucleus collisions at RHIC and LHC energies.

Nesta tese de doutorado é utilizado o método das Regras de Soma da QCD para estudar a natureza dos novos estados ressonantes do charmonium: Y(3930), Y(4140), X(4350), Y(4260), Y(4360) e Y(4660). Há fortes evidências de que estes estados possuam estruturas hadrônicas não convencionais (ou exóticas) uma vez que as suas respectivas massas e canais de decaimento observados experimentalmente são inconsistentes com o que é esperado para o estado ressonante convencional do charmonium, J/psi. O mesmo fenômeno ocorre no setor do bottomonium, onde os novos estados Yb(10890) e Yb(11020) observados recentemente poderiam indicar a existência de novos estados exóticos do bottomonium. Neste sentido, verifica-se que o estado Y(4140) poderia ser descrito ou por uma estrutura molecular Ds*Ds* (0++) ou mesmo uma mistura entre estados moleculares Ds*Ds* (0++) e D*D* (0++). Já os estados Y(3930) e o X(4350) não podem ser descritos por correntes moleculares D*D* (0++) e Ds*Ds* (1-+), respectivamente. Verifica-se também que a estrutura molecular Psi(2S) f_0(980) (1--) descreve muito bem a massa do estado Y(4660). Uma extensão ao setor do bottomonium indica que o estado molecular Y(2S) f_0(980) é um bom candidato para descrever a estrutura do estado Yb(10890). É feita também uma estimativa para os possíveis estados moleculares formados por mésons D(*) e B(*), que poderão ser observados em futuros experimentos realizados pelo LHC. Um amplo estudo, utilizando o formalismo das Regras de Soma e também da Dupla Razão das Regras de Soma, é feito para calcular as massas dos bárions pesados na QCD. As estimativas para as massas dos bárions com um (Qqq) e com dois (QQq) quarks pesados são um excelente teste para a capacidade do método das regras de soma em prever a massa dos bárions que ainda não foram observados. / In this thesis, the QCD sum rules approach was used to study the nature of the new charmonium resonances: Y(3930), Y(4140), X(4350), Y(4260), Y(4360) and Y(4660). There is a strong evidence that these states have non-conventional (or exotic) hadronic structures since their respective masses and decay channels observed experimentally are inconsistent with what expected for a conventional charmonium state, J/psi. The same phenomenon occurs on the bottomonium sector, where new states like Yb(10890) and Yb(11020) observed recently could indicate the existence of new bottomonium exotic states. In this way, one verifies that the state Y(4140) could be described as a Ds*Ds* (0++) molecular state or even as a mixture of Ds*Ds* (0++) and D*D* (0++) molecular states. For the Y(3930) and X(4350) states, both cannot be described as a D*D* (0++) and Ds*Ds* (1-+), respectively. From a sum rule point of view, the Y(4660) state could be described as a Psi(2s) f_0(980) (1--) molecular state. The extension to the bottomonium sector is done in a straightforward way to demonstrate that the Y(2S) f_0(980) molecular state is a good candidate for describing the structure of the Yb(10890) state. In the following, one estimates the mass of the exotic Bc-like molecular states using QCD Sum Rules - these exotic states would correspond to bound states of D(*) and B(*) mesons. All of these mass predictions could (or not) be checked in a near future experiments at LHC. A large study using the Double Ratio of Sum Rules approach has been evaluated for the study of the heavy baryon masses in QCD. The obtained results for the unobserved heavy baryons, with one (Qqq) and two (QQq) heavy quarks will be an excellent test for the capability of the sum rule approach in predicting their masses.

Cromodinâmica quântica, Espalhamento / Highly inelastic scattering proton electron in quantum chromodynamics

Coloured final states are ubiquitous at hadron colliders such as the Large Hadron Collider (LHC). Therefore understanding high energy perturbative quantum chromodynamics (QCD) at these experiments is essential not only as a test of the Standard Model, but also because these processes form the dominant background to many searches for new physics. One such `standard candle' is the production of a dilepton pair in association with dijets. Here we present a new description of this final state (through the production of a Z⁰ boson and γ*). This calculation adds to the fixed-order accuracy the dominant logarithms in the limit of large partonic centre-of-mass energy to all orders in the strong coupling αs. This is achieved within the framework of High Energy Jets. This calculation is made possible by extending the high energy treatment to take into account the multiple t-channel exchanges arising from Z⁰ and gamma* -emissions off several quark lines. The correct description of the interference effects from the various t-channel exchanges requires an extension of the subtraction terms in the all-order calculation. We describe this construction and compare the resulting predictions to a number of recent analyses of LHC data. The description of a wide range of observables is good, and, as expected, stands out from other approaches in particular in the regions of large dijet invariant mass and large dijet rapidity spans. In addition we also present the application of the High Energy Jets framework to two new experimental scenarios. Firstly, we show a comparison of High Energy Jets matched to the ARIADNE parton shower to an ATLAS study of gap activity in dijet events. We see that our description agrees well with the data throughout and in many distributions gives the best theoretical description. This shows the extra logarithmic corrections are essential to describe data already in LHC Run I. Secondly, we present a study of Z⁰/γ* plus dijets at 100 TeV. We compare the behaviour of the high energy logarithmic enhancements to the QCD perturbative series at 7 TeV and 100 Tev and see that at any high energy hadronic Future Circular Collider (FCC) the effects described by our resummation become significantly more important.