Physics at the Tevatron: Lecture I
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Symmetry and Gravity
universe Article Making a Quantum Universe: Symmetry and Gravity Houri Ziaeepour 1,2 1 Institut UTINAM, CNRS UMR 6213, Observatoire de Besançon, Université de Franche Compté, 41 bis ave. de l’Observatoire, BP 1615, 25010 Besançon, France; [email protected] or [email protected] 2 Mullard Space Science Laboratory, University College London, Holmbury St. Mary, Dorking GU5 6NT, UK Received: 05 September 2020; Accepted: 17 October 2020; Published: 23 October 2020 Abstract: So far, none of attempts to quantize gravity has led to a satisfactory model that not only describe gravity in the realm of a quantum world, but also its relation to elementary particles and other fundamental forces. Here, we outline the preliminary results for a model of quantum universe, in which gravity is fundamentally and by construction quantic. The model is based on three well motivated assumptions with compelling observational and theoretical evidence: quantum mechanics is valid at all scales; quantum systems are described by their symmetries; universe has infinite independent degrees of freedom. The last assumption means that the Hilbert space of the Universe has SUpN Ñ 8q – area preserving Diff.pS2q symmetry, which is parameterized by two angular variables. We show that, in the absence of a background spacetime, this Universe is trivial and static. Nonetheless, quantum fluctuations break the symmetry and divide the Universe to subsystems. When a subsystem is singled out as reference—observer—and another as clock, two more continuous parameters arise, which can be interpreted as distance and time. We identify the classical spacetime with parameter space of the Hilbert space of the Universe. -
Consequences of Kaluza-Klein Covariance
CONSEQUENCES OF KALUZA-KLEIN COVARIANCE Paul S. Wesson Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada Space-Time-Matter Consortium, http://astro.uwaterloo.ca/~wesson PACs: 11.10Kk, 11.25Mj, 0.45-h, 04.20Cv, 98.80Es Key Words: Classical Mechanics, Quantum Mechanics, Gravity, Relativity, Higher Di- mensions Addresses: Mail to Waterloo above; email: [email protected] Abstract The group of coordinate transformations for 5D noncompact Kaluza-Klein theory is broader than the 4D group for Einstein’s general relativity. Therefore, a 4D quantity can take on different forms depending on the choice for the 5D coordinates. We illustrate this by deriving the physical consequences for several forms of the canonical metric, where the fifth coordinate is altered by a translation, an inversion and a change from spacelike to timelike. These cause, respectively, the 4D cosmological ‘constant’ to be- come dependent on the fifth coordinate, the rest mass of a test particle to become measured by its Compton wavelength, and the dynamics to become wave-mechanical with a small mass quantum. These consequences of 5D covariance – whether viewed as positive or negative – help to determine the viability of current attempts to unify gravity with the interactions of particles. 1. Introduction Covariance, or the ability to change coordinates while not affecting the validity of the equations, is an essential property of any modern field theory. It is one of the found- ing principles for Einstein’s theory of gravitation, general relativity. However, that theory is four-dimensional, whereas many theories which seek to unify gravitation with the interactions of particles use higher-dimensional spaces. -
Supersymmetry Searches at the Tevatron
SUPERSYMMETRY SEARCHES AT THE TEVATRON For CDF and DØ collaborations R. Demina Department of Physics and Astronomy, University of Rochester, Rochester, USA, 14627 CDF and DØ collaborations analyzed up to 200 pb-1 of the delivered data in search for different supersymmetry signatures, so far with negative results. We present results on searches for chargino and neutralino associated production, squarks and gluinos, sbottom quarks, gauge mediated SUSY breaking and long lived heavy particles. Supersymmetry1 is a popular extension of the Standard Model originally suggested over 25 years ago. It postulates the symmetry between fermionic and bosonic degrees of freedom. As a result a variety of hypothetical particles is introduced. With presently available experimental data physicists were able to prove that if supersymmetric particles exist they must be heavier than their Standard Model partners2. In other words the Supersymmetry is broken. One possible exception is supersymmetric top quark (stop), which still has a chance to be lighter or of the same mass as top quark. With 2-4 fb-1 of data Tevatron experiments will be able to extend the limit on stop mass above that of top quark or discover it and thus establish the Supersymmetry3. Theory suggests several possible scenarios of Supersymmetry breaking mediated by gravitational or gauge interactions. In gravity mediated scenarios the number of free parameters in the model is reduced to five because of the unification of masses and couplings imposed at the grand unification scale. These parameters are M0 (M½) – masses of all bosons (fermions) at GUT scale, A0- trilinear coupling and µ0 – something Higgs and tan(β) – ratio of vacuum expectations of the Higgs doublet. -
Naturalness and New Approaches to the Hierarchy Problem
Naturalness and New Approaches to the Hierarchy Problem PiTP 2017 Nathaniel Craig Department of Physics, University of California, Santa Barbara, CA 93106 No warranty expressed or implied. This will eventually grow into a more polished public document, so please don't disseminate beyond the PiTP community, but please do enjoy. Suggestions, clarifications, and comments are welcome. Contents 1 Introduction 2 1.0.1 The proton mass . .3 1.0.2 Flavor hierarchies . .4 2 The Electroweak Hierarchy Problem 5 2.1 A toy model . .8 2.2 The naturalness strategy . 13 3 Old Hierarchy Solutions 16 3.1 Lowered cutoff . 16 3.2 Symmetries . 17 3.2.1 Supersymmetry . 17 3.2.2 Global symmetry . 22 3.3 Vacuum selection . 26 4 New Hierarchy Solutions 28 4.1 Twin Higgs / Neutral naturalness . 28 4.2 Relaxion . 31 4.2.1 QCD/QCD0 Relaxion . 31 4.2.2 Interactive Relaxion . 37 4.3 NNaturalness . 39 5 Rampant Speculation 42 5.1 UV/IR mixing . 42 6 Conclusion 45 1 1 Introduction What are the natural sizes of parameters in a quantum field theory? The original notion is the result of an aggregation of different ideas, starting with Dirac's Large Numbers Hypothesis (\Any two of the very large dimensionless numbers occurring in Nature are connected by a simple mathematical relation, in which the coefficients are of the order of magnitude unity" [1]), which was not quantum in nature, to Gell- Mann's Totalitarian Principle (\Anything that is not compulsory is forbidden." [2]), to refinements by Wilson and 't Hooft in more modern language. -
UC Berkeley UC Berkeley Electronic Theses and Dissertations
UC Berkeley UC Berkeley Electronic Theses and Dissertations Title Discoverable Matter: an Optimist’s View of Dark Matter and How to Find It Permalink https://escholarship.org/uc/item/2sv8b4x5 Author Mcgehee Jr., Robert Stephen Publication Date 2020 Peer reviewed|Thesis/dissertation eScholarship.org Powered by the California Digital Library University of California Discoverable Matter: an Optimist’s View of Dark Matter and How to Find It by Robert Stephen Mcgehee Jr. A dissertation submitted in partial satisfaction of the requirements for the degree of Doctor of Philosophy in Physics in the Graduate Division of the University of California, Berkeley Committee in charge: Professor Hitoshi Murayama, Chair Professor Alexander Givental Professor Yasunori Nomura Summer 2020 Discoverable Matter: an Optimist’s View of Dark Matter and How to Find It Copyright 2020 by Robert Stephen Mcgehee Jr. 1 Abstract Discoverable Matter: an Optimist’s View of Dark Matter and How to Find It by Robert Stephen Mcgehee Jr. Doctor of Philosophy in Physics University of California, Berkeley Professor Hitoshi Murayama, Chair An abundance of evidence from diverse cosmological times and scales demonstrates that 85% of the matter in the Universe is comprised of nonluminous, non-baryonic dark matter. Discovering its fundamental nature has become one of the greatest outstanding problems in modern science. Other persistent problems in physics have lingered for decades, among them the electroweak hierarchy and origin of the baryon asymmetry. Little is known about the solutions to these problems except that they must lie beyond the Standard Model. The first half of this dissertation explores dark matter models motivated by their solution to not only the dark matter conundrum but other issues such as electroweak naturalness and baryon asymmetry. -
Solving the Hierarchy Problem
solving the hierarchy problem Joseph Lykken Fermilab/U. Chicago puzzle of the day: why is gravity so weak? answer: because there are large or warped extra dimensions about to be discovered at colliders puzzle of the day: why is gravity so weak? real answer: don’t know many possibilities may not even be a well-posed question outline of this lecture • what is the hierarchy problem of the Standard Model • is it really a problem? • what are the ways to solve it? • how is this related to gravity? what is the hierarchy problem of the Standard Model? • discuss concepts of naturalness and UV sensitivity in field theory • discuss Higgs naturalness problem in SM • discuss extra assumptions that lead to the hierarchy problem of SM UV sensitivity • Ken Wilson taught us how to think about field theory: “UV completion” = high energy effective field theory matching scale, Λ low energy effective field theory, e.g. SM energy UV sensitivity • how much do physical parameters of the low energy theory depend on details of the UV matching (i.e. short distance physics)? • if you know both the low and high energy theories, can answer this question precisely • if you don’t know the high energy theory, use a crude estimate: how much do the low energy observables change if, e.g. you let Λ → 2 Λ ? degrees of UV sensitivity parameter UV sensitivity “finite” quantities none -- UV insensitive dimensionless couplings logarithmic -- UV insensitive e.g. gauge or Yukawa couplings dimension-full coefs of higher dimension inverse power of cutoff -- “irrelevant” operators e.g. -
The Large Hadron Collider Lyndon Evans CERN – European Organization for Nuclear Research, Geneva, Switzerland
34th SLAC Summer Institute On Particle Physics (SSI 2006), July 17-28, 2006 The Large Hadron Collider Lyndon Evans CERN – European Organization for Nuclear Research, Geneva, Switzerland 1. INTRODUCTION The Large Hadron Collider (LHC) at CERN is now in its final installation and commissioning phase. It is a two-ring superconducting proton-proton collider housed in the 27 km tunnel previously constructed for the Large Electron Positron collider (LEP). It is designed to provide proton-proton collisions with unprecedented luminosity (1034cm-2.s-1) and a centre-of-mass energy of 14 TeV for the study of rare events such as the production of the Higgs particle if it exists. In order to reach the required energy in the existing tunnel, the dipoles must operate at 1.9 K in superfluid helium. In addition to p-p operation, the LHC will be able to collide heavy nuclei (Pb-Pb) with a centre-of-mass energy of 1150 TeV (2.76 TeV/u and 7 TeV per charge). By modifying the existing obsolete antiproton ring (LEAR) into an ion accumulator (LEIR) in which electron cooling is applied, the luminosity can reach 1027cm-2.s-1. The LHC presents many innovative features and a number of challenges which push the art of safely manipulating intense proton beams to extreme limits. The beams are injected into the LHC from the existing Super Proton Synchrotron (SPS) at an energy of 450 GeV. After the two rings are filled, the machine is ramped to its nominal energy of 7 TeV over about 28 minutes. In order to reach this energy, the dipole field must reach the unprecedented level for accelerator magnets of 8.3 T. -
Three Extra Mirror Or Sequential Families: a Case for Heavy Higgs and Inert Doublet
Three Extra Mirror or Sequential Families: a Case for Heavy Higgs and Inert Doublet Homero Mart´ınez,1 Alejandra Melfo,2, 3 Fabrizio Nesti,4 and Goran Senjanovi´c2 1CEA, Saclay, DSM-IRFU-SPP, France 2ICTP, Trieste, Italy 3U. de Los Andes, M´erida, Venezuela 4U. di Ferrara, Ferrara, Italy (Dated: October 24, 2018) We study the possibility of the existence of extra fermion families and an extra Higgs doublet. We find that requiring the extra Higgs doublet to be inert leaves space for three extra families, allowing for mirror fermion families and a dark matter candidate at the same time. The emerging scenario is very predictive: it consists of a Standard Model Higgs boson, with mass above 400 GeV, heavy new quarks between 340 and 500 GeV, light extra neutral leptons, and an inert scalar with a mass below MZ . PACS numbers: 14.65.Jk, 12.60.Fr, 14.60.Hi, 14.60.St Introduction. It may not be well known that the idea with regard to high precision analysis they behave exactly of parity restoration in weak interactions is as old as as ordinary fermions, and thus a reader who is uncom- the suggestion of its breakdown. In their classic paper, fortable with the above setbacks can view our study as Lee and Yang [1] proposed the existence of what we will referring to the more general question of whether the SM call mirror fermions, so as to make the world left-right can host three (or more) extra families. symmetric at high energies. By this they meant another If one defines the SM by its structure, i.e. -
Bright Prospects for Tevatron Run II
INTERNATIONAL JOURNAL OF HIGH-ENERGY PHYSICS CERN COURIER VOLUME 43 NUMBER 1 JANUARY/FEBRUARY 2003 Bright prospects for Tevatron Run II JLAB Virginia laboratory delivers terahertz light p6 ^^^J Modular and expandable power supplies WÊ H Communications via TCP/IP içert. n_.___910S.CAEN '^^^*aBOKS^^^^ • ÊÊÊ WÊÊÊSêSê É TÏSjj à OPC Server to ease integration in DCS J Directly interfaced to JCOP Framework p " j^pj ^ ^^^^ Wa9neticFie,dand^ ^^HTJHj^^^^^^^^^^^^^^^^^^^^^^E' ' tfHl far IM Éfefi-*il * CAEN: your largest choice of HV & LV )^ H MULTICHANNEL POWER SUPPLIES CONTENTS Covering current developments in high- energy physics and related fields worldwide CERN Courier (ISSN 0304-288X) is distributed to member state governments, institutes and laboratories affiliated with CERN, and to their personnel. It is published monthly, except for January and August, in English and French editions. The views expressed are CERN not necessarily those of the CERN management. Editors James Gillies and Christine Sutton CERN, 1211 Geneva 23, Switzerland Email [email protected] Fax+41 (22) 782 1906 Web cerncourier.com COURIER Advisory Board R Landua (Chairman), F Close, E Lillest0l, VOLUME 43 NUMBER 1 JANUARY/FEBRUARY 2003 H Hoffmann, C Johnson, K Potter, P Sphicas Laboratory correspondents: Argonne National Laboratory (US): D Ayres Brookhaven, National Laboratory (US): PYamin Cornell University (US): D G Cassel DESY Laboratory (Germany): Ilka Flegel, P Waloschek Fermi National Accelerator Laboratory (US): Judy Jackson GSI Darmstadt (Germany): G Siegert INFN -
Tevatron Accelerator Physics and Operation Highlights A
FERMILAB-CONF-11-129-APC TEVATRON ACCELERATOR PHYSICS AND OPERATION HIGHLIGHTS A. Valishev for the Tevatron group, FNAL, Batavia, IL 60510, U.S.A. Abstract Table 1: Integrated luminosity performance by fiscal year. The performance of the Tevatron collider demonstrated FY07 FY08 FY09 FY10 continuous growth over the course of Run II, with the peak luminosity reaching 4×1032 cm-2 s-1, and the weekly Total integral (fb-1) 1.3 1.8 1.9 2.47 -1 integration rate exceeding 70 pb . This report presents a review of the most important advances that contributed to Until the middle of calendar year 2009, the luminosity this performance improvement, including beam dynamics growth was dominated by improvements of the antiproton modeling, precision optics measurements and stability production rate [2], which remains stable since. control, implementation of collimation during low-beta Performance improvements over the last two years squeeze. Algorithms employed for optimization of the became possible because of implementation of a few luminosity integration are presented and the lessons operational changes, described in the following section. learned from high-luminosity operation are discussed. Studies of novel accelerator physics concepts at the Tevatron are described, such as the collimation techniques using crystal collimator and hollow electron beam, and compensation of beam-beam effects. COLLIDER RUN II PERFORMANCE Tevatron collider Run II with proton-antiproton collisions at the center of mass energy of 1.96 TeV started in March 2001. Since then, 10.5 fb-1 of integrated luminosity has been delivered to CDF and D0 experiments (Fig. 1). All major technical upgrades of the accelerator complex were completed by 2007 [1]. -
Top Quark Physics in the Large Hadron Collider Era
Top Quark Physics in the Large Hadron Collider era Michael Russell Particle Physics Theory Group, School of Physics & Astronomy, University of Glasgow September 2017 arXiv:1709.10508v2 [hep-ph] 31 Jan 2018 A thesis submitted in fulfilment of the requirements for the degree of Doctor of Philosophy Abstract We explore various aspects of top quark phenomenology at the Large Hadron Collider and proposed future machines. After summarising the role of the top quark in the Standard Model (and some of its well-known extensions), we discuss the formulation of the Standard Model as a low energy effective theory. We isolate the sector of this effective theory that pertains to the top quark and that can be probed with top observables at hadron colliders, and present a global fit of this sector to currently available data from the LHC and Tevatron. Various directions for future improvement are sketched, including analysing the potential of boosted observables and future colliders, and we highlight the importance of using complementary information from different colliders. Interpretational issues related to the validity of the effective field theory formulation are elucidated throughout. Finally, we present an application of artificial neural network algorithms to identifying highly- boosted top quark events at the LHC, and comment on further refinements of our analysis that can be made. 2 Acknowledgements First and foremost I must thank my supervisors, Chris White and Christoph Englert, for their endless support, inspiration and encouragement throughout my PhD. They always gave me enough freedom to mature as a researcher, whilst providing the occasional neces- sary nudge to keep me on the right track. -
MIT at the Large Hadron Collider—Illuminating the High-Energy Frontier
Mit at the large hadron collider—Illuminating the high-energy frontier 40 ) roland | klute mit physics annual 2010 gunther roland and Markus Klute ver the last few decades, teams of physicists and engineers O all over the globe have worked on the components for one of the most complex machines ever built: the Large Hadron Collider (LHC) at the CERN laboratory in Geneva, Switzerland. Collaborations of thousands of scientists have assembled the giant particle detectors used to examine collisions of protons and nuclei at energies never before achieved in a labo- ratory. After initial tests proved successful in late 2009, the LHC physics program was launched in March 2010. Now the race is on to fulfill the LHC’s paradoxical mission: to complete the Stan- dard Model of particle physics by detecting its last missing piece, the Higgs boson, and to discover the building blocks of a more complete theory of nature to finally replace the Standard Model. The MIT team working on the Compact Muon Solenoid (CMS) experiment at the LHC stands at the forefront of this new era of particle and nuclear physics. The High Energy Frontier Our current understanding of the fundamental interactions of nature is encap- sulated in the Standard Model of particle physics. In this theory, the multitude of subatomic particles is explained in terms of just two kinds of basic building blocks: quarks, which form protons and neutrons, and leptons, including the electron and its heavier cousins. From the three basic interactions described by the Standard Model—the strong, electroweak and gravitational forces—arise much of our understanding of the world around us, from the formation of matter in the early universe, to the energy production in the Sun, and the stability of atoms and mit physics annual 2010 roland | klute ( 41 figure 1 A photograph of the interior, central molecules.