The Search for Top-Squark Pair Production with the ATLAS Detector
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DISSERTATION The Search for Top-Squark Pair Production with the ATLAS Detector at ps = 13 TeV in the Fully Hadronic Final State Philipp Mogg Fakultät für Mathematik und Physik Albert-Ludwigs-Universität Freiburg The Search for Top-Squark Pair Production with the ATLAS Detector at ps = 13 TeV in the Fully Hadronic Final State Dissertation zur Erlangung des Doktorgrades der Fakultät für Mathematik und Physik der ALBERT-LUDWIGS-UNIVERSITÄT Freiburg im Breisgau vorgelegt von Philipp Mogg Dezember 2019 DEKAN: Prof. Dr. Wolfgang Soergel BETREUER DER ARBEIT: Prof. Dr. Karl Jakobs, Dr. Christian Weiser ERSTGUTACHTER: Dr. Christian Weiser ZWEITGUTACHTER: Prof. Dr. Marc Schumann Datum der mündlichen Prüfung: 21.02.2020 PRÜFER: Dr. Christian Weiser Prof. Dr. Gregor Herten Prof. Dr. Stefan Dittmaier “Scientific revolutions don’t change the universe. They change how humans interpret it.” —The Science of Discworld: Judgement Day, by Terry Pratchett († 2015) Contents 1 Introduction1 2 Theory background3 2.1 The Standard Model . .3 2.1.1 Structure . .4 2.1.2 Particle content . .5 2.1.3 The Standard Model Lagrangian . .7 2.1.4 The Brout-Englert-Higgs mechanism . 11 2.2 Supersymmetric extensions . 15 2.2.1 Motivation . 16 2.2.2 General structure . 19 2.2.3 The MSSM . 23 2.2.4 Top-Squark phenomenology at the LHC . 28 3 Experiment 33 3.1 The LHC machine . 33 3.2 The ATLAS detector . 36 3.2.1 Inner detector . 39 3.2.2 Calorimeter . 41 3.2.3 Muon spectrometer . 43 3.2.4 Trigger system . 44 i Contents 4 Event Reconstruction 47 4.1 Track and vertex reconstruction . 48 4.2 Calorimetric clusters . 50 4.3 Muons . 51 4.4 Electrons and photons . 54 4.5 Hadronic jets . 55 4.6 b-tagging . 59 4.7 Missing transverse momentum . 60 4.8 Physics validation . 62 5 Search for top squarks in the fully hadronic final state 65 5.1 Data collection and trigger . 67 5.2 Simulated data . 71 5.3 Object definitions . 75 5.4 Discriminating variables . 79 5.5 Signal regions . 89 5.6 Background estimation . 100 5.6.1 One-lepton backgrounds . 103 5.6.2 Z+jet background . 107 5.6.3 tt¯ + Z background . 110 5.6.4 Multijet background . 112 5.7 Systematic Uncertainties . 115 5.7.1 Experimental uncertainties . 115 5.7.2 Theory uncertainties . 118 5.8 Statistical interpretation . 122 5.9 Results . 125 6 Studies with new methods 139 6.1 Top identification . 139 6.1.1 Large-R-jet tagging . 140 ii Contents 6.2 Top identification in semi-boosted scenarios . 147 6.3 Conclusions of top identification study . 150 miss 6.4 Object-based ET significance . 150 6.5 Signal region optimisation . 151 6.5.1 SRA optimisation . 153 6.5.2 SRB optimisation . 157 7 Conclusion 163 8 Acknowledgements 165 Bibliography 169 iii 1 Introduction The understanding of the most fundamental objects and their behaviour and interactions has been a dream of many a scientist. Much progress in that regard was made in the twentieth century, starting with quantum mechanics and special relativity, and subsequently quantum field theory which combines the two, accompanied by progress in mathematics like the understanding of symmetries, all of which have fundamentally changed the way we interpret the universe. This lead to a long line of experimental discoveries in particle physics and continuously new theoretical interpretations to match those. The conclusion of this effort is today known as the Standard Model of Particle Physics, a theory that describes all experimentally observed particles and fundamental forces except gravity. The Standard Model has withstood all attempts to directly contradict it for a long time, and all its prediction have been proved true, with the discovery of the Higgs Boson by the ATLAS and CMS collaborations [1, 2] having delivered the last piece. However, since the Standard Model does not describe gravity and cannot explain other cosmological findings, we must assume that the Standard Model is not a full description of the universe. Other hints, like extreme fine-tuning of constants in the theoretical description, lead to the interpretation of the Standard model as the low-energy representation of a more fundamental theory. For these reasons, the search for new physics at unprecedented energy scales was one of the main goal in the building of ATLAS and the Large Hadron Collider. Supersymmetry is a prominent and well-studied theory which can address several of the shortcomings of the Standard Model. It postulates a symmetry between the two classes of particles – bosons, which have an integer spin, and fermions, which have a half-integer spin. 1 1 Introduction This would lead to a whole new family of particles, which could be at an energy scale that is reachable with the LHC; therefore a rich search program exists at ATLAS. This thesis describes a search for the supersymmetric partner of the top quark – the top squark. We are looking for events where a top-squark pair is produced in a proton-proton collision at a centre- of-mass energy of 13 TeV; the unstable top-squarks then decay in several steps into light- and heavy-flavour quarks and neutralinos – another type of hypothetical supersymmetric particle which leaves the detector without a trace – leading to a detector signature with a multitude of hadronic jets, including b-jets, and missing transverse momentum. A similar search was already conducted with data taken during Run 1 of the LHC at ps = 8TeV without finding any evidence for new physics [3]. The higher centre-of-mass energy and luminosity during LHC Run 2 and also improved detector performance and analysis techniques allow to greatly extend the sensitivity into areas that could not be excluded so far. The theoretical foundations are discussed in Chpt. 2, including the Standard Model and the possibility to expand the model with supersymmetry. The experimental set-up that was used to produce data, which is the Large Hadron Collider and the ATLAS detector, is described in Chpt. 3. The methods to reconstruct physics objects from the raw detector data are described in Chpt. 4. A search for top squarks was conducted with data taken in 2015 and 2016 at ps = 13TeV [4] with major contributions by the author; this is described in Chpt. 5, including the strategies to define search regions with a high potential purity of signal events, the methods to estimate Standard Model backgrounds, the evaluation of systematic uncertainties and finally the results and interpretation of the search. Only part of the Run-2 data was analysed in this context yet, a search with the full dataset is yet to follow this thesis; Chpt. 6 describes studies of new methods to improve the sensitivity that were conducted by the author. A conclusive summary is then given in Chpt. 7. 2 2 Theory background This chapter describes the theory behind the physics discussed in this thesis. Our current best knowledge about elementary particle physics is the Standard Model, which is described in Sec. 2.1. Section 2.2 then describes Supersymmetry as a possible extension to the Standard Model, which has the potential to solve several of the shortcomings (discussed in Sec. 2.2.1) that the Standard Model has despite its undeniable usefulness. 2.1 The Standard Model The Standard Model of particle physics (SM) describes our current understanding of all known fundamental particles and their interactions, with the exception of gravity. It is a quantum field theory (QFT), a framework that combines special relativity and quantum mechanics. The basic principles and notations of QFT are described in [5]. The SM emerged in the 1960s and 1970s as a result of the work of many physicists describing the strong interaction and the electroweak theory, which is a unified description of the electromagnetic and the weak interaction. The SM has since been extremely successful in making predictions and withstanding experimental tests and is still our best description of fundamental particles and interactions. The description given here is a summary of information that can be found in [5–7], if not stated otherwise. 3 2 Theory background 2.1.1 Structure The strong and electroweak interaction are described by the exchange of spin-1 particles (gauge bosons) which are quanta of gauge fielda. These bosons can carry mass as well as charges. QFT is based on Lagrangian mechanics and makes use of Hamilton’s principle. This means that a system behaves always in a way so that the action functional Z 4 S = d x L F;¶m F (2.1) becomes extremal. A system is therefore completely described by its Lagrangian density L , in the following simply called Lagrangian, which is a function of the quantum field F(x) at a space-time point x, and its first derivative ¶m F(x). The Euler-Lagrange equation gives the equations of motion: " # ¶L ¶ ¶L : m = 0 (2.2) ¶F − ¶x ¶ ¶m F The SM is a gauge theory, which means that the Lagrangian must be invariant under a continuous group of local transformations (Lie group). According to the Noether Theorem, each symmetry (under global or local transformation) is always associated with a conserved quantity [8]. The SM is composed of the theory of Quantum Chromodynamics (QCD), which describes the strong interaction [9], and the Glashow-Salam-Weinberg theory of electroweak interaction [10,11]. QCD is described by the Lie group SU(3), with the colour charge C being the conserved quantity of this symmetry. The electroweak theory imposes a SU(2) U(1) ⊗ symmetry. The SU(2) group is associated with the conservation of the third component of the weak isospin T3; the U(1) group leads to conservation of the weak hypercharge YW .