(cid:0)(cid:44)(cid:44) (cid:104)(cid:40)(cid:104)(cid:40)(cid:88)(cid:80)(cid:80)(cid:88)(cid:104)(cid:40)(cid:16)(cid:72)(cid:72)(cid:80)(cid:88)(cid:104)(cid:40)(cid:16)(cid:8)(cid:8)(cid:101)(cid:64)(cid:108)(cid:81)(cid:37)(cid:0)(cid:44)(cid:17)(cid:10)(cid:10)(cid:37)(cid:10)(cid:8)(cid:108)(cid:81)(cid:0)(cid:44)(cid:17)(cid:37)(cid:81)(cid:17) IFT UnIinvestristiudtaodedeEsFt(cid:237)asdicuaaTl eP(cid:243)aruicliasta (cid:101)(cid:101)(cid:64)(cid:64)(cid:108) Ph.D. thesis IFT - T.004/14 New Physics from Warped compact Extra Dimensions: from model building to colliders signals. Alexandra Carvalho Antunes de Oliveira Advisor: Rogerio Rosenfeld Co-advisor: Maxime Gouzevich Jury: Prof. Dr. Eduardo Ponton Prof. Dr. Andre Sznajder Prof. Dr. Sergio Ferraz Novaes Prof. Dr. Oscar Jose Pinto Eboli Junho de 2014 Resumo No Modelo Padraªo que descreve a (cid:28)sica das particulas elementares e suas interacoes o campo de Higgs pode ser imaginado como um campo composto formado por uma forca forte ainda desconhecida. Tal hipotese e bastante atrativa para completar o Modelo Padrao a altas energias. Problemas como hierarquia and naturalidade podem ser mais facilmente evitados. No contexto de uma forca forte porem metodos de calculo baseados em expansoes perturbativas nao tem mais validade. Uma alternativa para entender as propriedades basicas desse tipo de teorias e trabalhar em termos de teorias de gravitacao com dimensoes extras. Nesta tese nos focamos no case de uma dimensao espacial extra. Caracteristicas gener- icas desse tipo de cenario sao a existencia de particulas de gravidade massivas, associadas com a metrica cinco-dimensional que acopla com o Modelo Padrªo para materia, levando a assinaturas diretas em colisores de particulas (como o LHC no CERN). Tais particulas de gravidade se acoplam com o setor de Higgs. A descoberta do boson de higgs abriu um novo campo de investigacao para sua deteccao direta, no estado (cid:28)nal com dois bosons de higgs. NosusamostecnicasdeMonteCarloparaestudarasestrategiasdeanalisequelevariam a um melhor reconhecimento de novas ressonancias que daem em pares de bosons de higgs em colisores hadronicos, que podem se interpretadas como particulas de gravidade mas- sivas. Finalmente apresentamos as buscas esperimentais por tais ressonancias realizadas no contexto do esperimento CMS com dados retirados do segundo run do LHC (com uma energia de centro de massa de 8 TeV). Palavras chave: Modelo padrªo, Setor eletrofraco, Gravidade quantica. `reas do conhecimento: Fisica de altas energias, Fisica de particulas. Abstract The Higgs (cid:28)eld of the Standard Model theory for elementary particles and interactions can be realized as a composite state from an underlying strong sector. Such hypothesis is very attractive as an ultraviolet completion of the Standard Model since it solves the hierarchy and avoids naturalness problems. The standard perturbative methods cannot be used in the context of strongly interacting theories, however those can be broadly described in terms of extra dimensional models of gravity. We focus on the case of one additional Warped compact Extra Dimension (WED). The generic signatures of this scenario are the manifestation of heavy gravity particles, associated with the (cid:28)ve dimensional metric, that couples with the Standard Model matter leading to direct collider signatures. The heavy gravity particles couples to the Higgs sector. The higgs discovery had opened a new investigation channel to LHC direct detection that is the di-higgs (cid:28)nal state. We use Monte Carlo techniques to study the analysis strategies that would lead to a best recognition of new resonances decaying to a pair of higgses in hadron colliders, that can be interpreted as the gravity particles. We (cid:28)nally present resonance searches performed with data taken by the CMS experiment on the 8 TeV LHC run. The results are interpreted as the gravity particles signatures in the WED context. Key words: Standard Model, Electroweak sector, Quantum gravity. `reas do conhecimento: High energy physics, Particle physics. Acknowledgements My primer acknowledgements are to the masters I had during under-graduation and grad- uation, specially to Paulo Nussenzveig, Joao Barata, Raul Abramo, Sylvio Canuto, Oscar Eboli, Victor Rivelles and Sergio Novaes for the wonderful lectures I had opportunity to attend. And also to the friends that passed through all this together with me: Denise Godoy, Mariana Tanaka, Ana Soja, Luciene Coelho, Giovanni Laranjo, Cesar Mello and Rogerio Iope. The good vibrations about science and knowledge all those people passed to me kept me in the way. I thank Eduardo Ponton for the support on my (cid:28)rst Ph.D. years, much of the knowledge and even text about WED on this thesis is reminiscent of this epoch. I am very grateful also to Alexander Belyaev, Marc Thomas and Veronica Sanz for being on my (cid:28)rst external collaborations, where I could feel participating to construction of something. I am also grateful for the fruitful discussions with Kaustubh Agashe, Tuomas Hapola and Gilad Peres. And as well Olivier Matelaer, Peter Skands and Gavin Salam for their superpromptphysicalandcomputationalsupportwhenusingtheirtoolsandtobealways disposabletobestoopedonthecorridorandgiveanswers. Alltheseinteractionsreinforced to me the idea that the science work is coolest when it is collaborative (rather than competitive). And that exchanges are always constructive, even if the purpose of the exchange is not a common publication. I thank Christophe Grojean for allow me to be at CERN for a very good period. I thank a lot Bernard Ille for being so kind and receptive on receiving me on the Lyon group and allow me the experience on CMS collaboration. On this experience I have no enough words to thank Olivier Bondu and Chiara Rovelli for support, with them I am free to ask even the most dumb questions of the world (cid:21) without any shame. I also thank Alexandre Nikitenko and Marco Pieri for the company and support while at CERN. I’ll never forget Sasha teaching me that a presentation should be done for kids, as a kid I’m learning that. In this experience I appreciated very much the interactions with Maurizio Pierini, Thiago Tomei, Alessio Bonato and Angelo Santos. They also taught me to do not take the scienti(cid:28)c divergences personally and avoid to get more crazy than I normally am. All the acknowledgements made here are personally special, but I want to thank very much Carlos Savoy for receiving me so well in CEA/Saclay, he guided my neck to turn a bit back to formal questions, learning to be more direct on questioning to change - over and over - of perspective. I am still not sure why I did not added Carlos name on the cover page. I thank again Oscar together with Renata Funchal, Enrico Bertuzzo and Yoshua Celkier for all the physics discussions, good company while at CEA and also for pointing me that that city was not so bad. Togetherwiththecrucialscienti(cid:28)csupportonthelastyearsofPh.D.Ihavesomuchto thank Maxime for, that write it in words to be printed in a document is almost blasphemy. I am thankful also to Andrea Wulzer and Brando Bellazinni for believing in me when hiring me for the next step. It was a marvelous surprise the (cid:28)rst scienti(cid:28)c interactions with Padova group had naturally began on the last months of my Ph.D. period. AlltheaboveacnowlegmentswouldnotbepossiblewithoutthesupportofRogerioand the graduation committee of the IFT (in special Roberto Kraenkel) and the founding of the Brazilian agencies CAPES and CNPq. They allowed to me all the mobility necessary to know all this good people and lean so much from them. 1 I am grateful also for the support of my family all these years. Many thanks also to Rosane and Luzinete for all the practical support necessary along this path. Note: I swear I wrote the acknowledgements before to have the announcement of the members of the jury! 2 Contents Introduction 2 I Warped compact Extra Dimensional models 9 I.1 The Higgs mechanism . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 I.2 The Standard Model (cid:28)elds . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 I.3 Gravity particles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 I.4 Gravity particles couplings to matter . . . . . . . . . . . . . . . . . . . . . 30 I.5 Phenomenology of gravity particles at a proton collider . . . . . . . . . . . 35 II Phenomenology of resonant double higgs production at LHC 44 II.1 The LHC and its general purpose experiments . . . . . . . . . . . . . . . . 47 II.2 Jets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 II.3 Topology of processes like X → Y Y → zzzz . . . . . . . . . . . . . . . . . 53 ¯ ¯ II.4 pp → X → h(bb)h(bb) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 ¯ ¯ II.5 pp → X jj → h(bb)h(bb) jj . . . . . . . . . . . . . . . . . . . . . . . . . . 67 IIISearches for resonant double higgs production on CMS detector 74 III.1 The CMS detector . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77 ¯ III.2 pp → X → h(γγ)h(bb) at CMS . . . . . . . . . . . . . . . . . . . . . . . . 83 ¯ ¯ III.3 pp → X → h(bb)h(bb) at CMS . . . . . . . . . . . . . . . . . . . . . . . . . 106 III.4 Interpretation of the di-higgs LHC results . . . . . . . . . . . . . . . . . . 112 Conclusions 116 Appendices 119 A Signals of strongly coupled new physics in theories with a light higgs boson 120 A.1 About perturbative unitarity in a higgs-less scenario . . . . . . . . . . . . . 123 A.2 Partial unitarization of 2 → n (n > 2) processes . . . . . . . . . . . . . . . 124 A.3 Cross section sensitivity . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126 A.4 Probing anomalous couplings at LHC in WBF di-higgs production . . . . . 130 B Bulk Standard Model (cid:28)elds 131 B.1 Bulk gauge bosons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131 C E(cid:27)ects of higgs-radion mixing in LHC production 134 D Counting experiment 136 E Classi(cid:28)cation for the limits 137 References 139 1 Introduction The Standard Model of particle physics (SM) is the uni(cid:28)ed description of electromagnetic and weak forces by means of the SU(2) ⊗U(1) local gauge symmetry. The spontaneous L Y breaking of this symmetry leads to successful predictions, like the existence of a neutral weak current mediated by the Z boson [1]. The structure of the Electroweak Symmetry Breaking (EWSB) in the SM is very precisely tested [2, 3]. The mechanism necessary to trigger EWSB in the SM (known as Higgs mechanism) [4] requires as ingredient the existence of a scalar (cid:28)eld (the so called Higgs doublet) and pre- dicts the existence of a physical scalar (h) particle whose mass (m ) lies in the same scale h than the carriers of the weak interactions (m and m ) [5]. The (cid:28)ve known elementary Z W interactions of nature are the Higgs force, the electromagnetic force, the weak force (re- sponsible by radioactivity), and the strong force (that binds quarks together). After decades of theoretical and experimental successes the SM experienced its zenith with the discovery of the higgs boson - its ultimate prediction - by the CMS and ATLAS collaborations [6, 7]. Open questions on top of the SM however remain: The Higgs mechanism is a descrip- tion of spontaneous symmetry breaking rather than an understanding of its dynamics. The description of the higgs particle as a fundamental scalar with mass at the electroweak scale poses naturality problems. The quantum e(cid:27)ects induced by the higgs potential and the higgs couplings to top quarks introduces quadratic divergences to m value, pushing it to very high values (∼ h to the cuttof of the theory). To stabilize the higgs mass at ∼ 125 GeV a very (cid:28)ne tuning between SM and new physics corrections expected to appear in the Planck scale∗ ∼ (1019) is required. What is known as the hierarchy problem. This (cid:28)ne tuning suggests that new physics beyond the Standard Model should appear before the Planck scale. The underlying Beyond Standard Model (BSM) physics can interact with the SM particles either weakly or strongly. Examples of weakly coupled BSM theories are the Supersymmetric extensions of the SM in which a new set of particles are introduced to solve the hierarchy and naturalness problem. In the case in which the SM is completed by a strongly interacting theory the Higgs doublet can be realized as a composite state formed by the components of this strong sector, like the π mesons in Quantum ChromoDynamics (QCD) are composite states of light quarks. The failure of the perturbative methods in strongly interacting theories limit their predictability. The low energy e(cid:27)ects of the underlying strong sector however can be exploited by means of e(cid:27)ective constructions of particle dynamics [8]. The Large Hadron Collider (LHC), the same machine that allowed the higgs boson discovery by the CMS and ATLAS collaborations will be active for at least one more decade with the purpose of revealing the nature of EWSB. The discovery potential for thismachineneedtobepro(cid:28)tedatmaximum. FromapracticalpointofviewNewPhysics Beyond the Standard Model (BSM) can manifest itself at colliders in two ways: ∗The scale where quantum gravity e(cid:27)ects becomes strong. 2 Direct detection: BSM scenarios generically predict the existence of additional res- onances with mass within the collider reach that can be directly detected. The additional particles typically are connected with the electroweak sector of the SM coupling mostly with the Electroweak bosons (W,Z and higgs) and top-quarks. Indirect detection: The couplings between the Standard Model particles can be modi(cid:28)ed by the presence of new forces or heavy states. This kind of e(cid:27)ects are present for example in models where the Higgs is interpreted as a composite state of some strong dynamics. The deviations of the SM couplings that could arise from the simpler compos- ite Higgs case that a(cid:27)ord a light higgs boson are already very constrained [9, 10]. In this thesis we will be interested on direct detection of BSM particles that can arise from strongly interacting BSM theories. The predictions of new particles expected from stronglycoupledtheorieshoweverareparalleltothepredictionsofconstructionsofweakly coupled theories propagating in compact extra spacial dimensions [11, 12]. The references [13, 14] worked out examples where the special case where the chiral lagrangians (that commonly appear in theories where Higgs is a light pseudo goldstone boson of a strong sector global symmetry) is successfully described by considering a theory where gravity propagates in a Warped compact Extra Dimension. The approach we adopt in this thesis is to study the direct physics predictions from speci(cid:28)c BSM constructions based on the existence of a Warped compact Extra Dimension (WED) [15]. The knowledge of the higgs boson properties is used as a tool for the searches. We use this setup to discuss benchmark points for direct searches for spin-0 and spin-2 resonances at LHC. This document is organized in tree chapters that can be read in an independent way. These chapters are inter-connected, each one acting as one ingredient to the others. The class of models based on WED is presented in chapter (I). In this chapter we mention how this construction solves the hierarchy problem and also comment on the behaviour of matter (cid:28)elds on the WED background. We describe how a quantum description of the (cid:28)ve dimensional space-time metric would manifest itself in our world as a tower of massive states with spin-0 and spin-2. We discuss the model parameters and mention the validity of the model predictions. We study the hypothesis behind the coupling of those particles with SM matter and calculate its decays and production on LHC. In chapter (II) we study the LHC sensitivity to direct detection of a resonance on the di-higgs channel using as benchmark the gravity particles introduced on (cid:28)rst chapter. Both inclusive production and production by weak boson fusion are explored. We study the case where both higgses decay to a pair of b(cid:21)quarks, we exploit the resonance mass hypothesis that de(cid:28)nes the regimes where di(cid:27)erent search techniques should be used. We predict the LHC sensitivity for the detection of a di-higgs resonance produced inclusively by emulating experimental quantities like b(cid:21)tag and pileup, using conservative estimations based in the LHC running conditions and performances of CMS/Atlas detec- tors during the Run I (2010-2012). In the study of the resonant di-higgs production of a BSM resonance produced by weak boson fusion we intend also to understand better the experimental challenges in the search for new physics in the LHC environment projected 3 for the next decade. This study is in progress, we show however the motivations and preliminary results. Chapter (III) contains the discussions on the (cid:28)rst experimental searches considering higgs bosons as (cid:28)nal state of BSM physics performed within CMS experiment. We look for an inclusively produced resonance that decays into a di-higgs pair. We describe the basic experimental elements important to perform the searches for a di-higgs resonance in the four b(cid:21)quarks (cid:28)nal state in di(cid:27)erent mass ranges. Finally, we present the CMS search for a di-higgs resonance in the two photons and two b(cid:21)quarks (cid:28)nal state, we compare the sensitivity reached by the experiment with the predictions of the models described on the (cid:28)rst chapter. For the good (cid:29)ow of information we decided to add to the thesis our most recent works and the works in progress. In appendix (A) we study indirect BSM signatures related with modi(cid:28)cations of the Higgs sector that are testable at LHC and are not yet very constrained. We quickly discuss the minimal model for the low e(cid:27)ective description of a strongly interaction theory and the anomalous couplings induced by this construction in the e(cid:27)ective Higgs sector. We study the collider e(cid:27)ects of the anomalous couplings on the rates for multi-boson (longitudinally polarized weak bosons and/or higgs bosons) LHC production. We also present the preliminary studies we had performed on the e(cid:27)ect of these anomalous couplings on di-higgs LHC production in the weak boson fusion mode. Note about nomenclature: To avoid confusion we write Higgs with capital letter to refer to the mechanism and doublet while higgs with non capital letter stands for the neutral boson. Following similar logic we write Graviton (Radion) to refer to the (cid:28)ve dimensional (cid:28)eld, while graviton (radion) refers to the e(cid:27)ective four dimensional particle. The weak bosons W and Z are collectively denoted using the letter V. 4 Acronyms and jargon’s (B)SM = (Beyond the) Standard Model of elementary particles NP = New Physics WED = Warped compact Extra spatial Dimensions RS = Randall-Sundrum = theory described in [16] KK = Kaluza-Klein EWPT = ElectroWeak Precision Tests EMT = Energy Momentum Tensor (N)MSSM = (Next to) Minimal Supersymmetric Standard Model RGE = Renormalization Group Equation NDA = Naive Dimensional Analysis 2HDM = Two Higgs Doublet Model WBF = Weak Boson Fusion BKG = Background PDF = Parton Distribution Function MC = Monte Carlo (N)LO = (Next to) Leading Order ISR = Initial State Radiation FSR = Final State Radiation CA = Cambridge-Aachen (jet clustering algorithm) AkT = Anti-kT (jet clustering algorithm) LHC = Large Hadron Collider CMS = Compact Muon Solenoid ATLAS = A Toroidal LHC ApparatuS BDT = Boosted Decision Tree MVA = Multi VAriative PF = Particle Flow RD = Run Dependent WP = Working Point HLT = High Level Trigger CiC = Cuts in Categories CSV = Combined Secondary Vertex JER = Jet Energy Scale JES = Jet Energy Resolution PER = Photon Energy Scale PES = Photon Energy Resolution 5