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Color Breaking in the Quantum Leaped Stop Decay
Color breaking in the quantum leaped stop decay Imre Czövek [email protected] Abstract. The superfield propagator contains a measurable quantum leap, which comes from the definition of SUSY. In the sfermion -> Goldstino + fermion vertex change: 1. the spin of sparticle with discrete 1/2, 2. the Grassman superspace with the Goldstino shift operator. 3. the spacetime as the result of extra dimensional leap. The leap nature of SUSY transformations appears in the squark decay, it is the analog definition of SUSY. The quantum leaped outgoing propagators are determined and break locally the energy and the charge. Like to the teleportation the entangled pairs are here the b quark and the Goldstino. The dominant stop production is from gluons. The stop-antistop pair decay to quantum leaped b (c or t) quark, and the decay break the color. I get for the (color breaking) quantum leap: 10^-18 m. 10^-11 m color breaking would be needed for a color breaking chain reaction. The open question is: Are the colliders producing supersymmetry charge? Because some charges in QGP can make long color breaking and a chain reaction. A long color broken QGP state in the re-Big Bang theory could explain the near infinite energy and the near infinite mass of the universe: - at first was random color QGP in the flat space-time, - at twice the color restoration in the curved space-time, which eats the Goldstinos, - and finally the baryon genesis. The re Big Bang make a supernova like collapse and a flat explosion of Universe. This explanation of SUSY hides the Goldstone fermion in the extra dimensions, the Goldstino propagate only in superspace and it is a not observable dark matter. -
1 Standard Model: Successes and Problems
Searching for new particles at the Large Hadron Collider James Hirschauer (Fermi National Accelerator Laboratory) Sambamurti Memorial Lecture : August 7, 2017 Our current theory of the most fundamental laws of physics, known as the standard model (SM), works very well to explain many aspects of nature. Most recently, the Higgs boson, predicted to exist in the late 1960s, was discovered by the CMS and ATLAS collaborations at the Large Hadron Collider at CERN in 2012 [1] marking the first observation of the full spectrum of predicted SM particles. Despite the great success of this theory, there are several aspects of nature for which the SM description is completely lacking or unsatisfactory, including the identity of the astronomically observed dark matter and the mass of newly discovered Higgs boson. These and other apparent limitations of the SM motivate the search for new phenomena beyond the SM either directly at the LHC or indirectly with lower energy, high precision experiments. In these proceedings, the successes and some of the shortcomings of the SM are described, followed by a description of the methods and status of the search for new phenomena at the LHC, with some focus on supersymmetry (SUSY) [2], a specific theory of physics beyond the standard model (BSM). 1 Standard model: successes and problems The standard model of particle physics describes the interactions of fundamental matter particles (quarks and leptons) via the fundamental forces (mediated by the force carrying particles: the photon, gluon, and weak bosons). The Higgs boson, also a fundamental SM particle, plays a central role in the mechanism that determines the masses of the photon and weak bosons, as well as the rest of the standard model particles. -
Color Screening in Quantum Chromodynamics Arxiv
Color Screening in Quantum Chromodynamics Alexei Bazavov, Johannes H. Weber Department of Computational Mathematics, Science and Engineering and Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USA October 6, 2020 Abstract We review lattice studies of the color screening in the quark-gluon plasma. We put the phenomena related to the color screening into the context of similar aspects of other physical systems (electromag- netic plasma or cold nuclear matter). We discuss the onset of the color screening and its signature and significance in the QCD transi- tion region, and elucidate at which temperature and to which extent the weak-coupling picture based on hard thermal loop expansion, po- tential nonrelativistic QCD, or dimensionally-reduced QCD quantita- tively captures the key properties of the color screening. We discuss the different regimes pertaining to the color screening and thermal arXiv:2010.01873v1 [hep-lat] 5 Oct 2020 dissociation of the static quarks in depth for various spatial correla- tion functions that are studied on the lattice, and clarify the status of their asymptotic screening masses. We finally discuss the screening correlation functions of dynamical mesons with a wide range of flavor and spin content, and how they conform with expectations for low- and high-temperature behavior. 1 Contents 1 Introduction3 2 Field theoretical foundations7 2.1 Partition function and Lagrangian . .7 2.2 Finite temperature field theory . 11 2.3 Lattice regularization . 14 2.4 Renormalization and weak coupling . 17 2.5 Light quarks . 19 2.6 Heavy quarks . 21 2.7 Implementation of QCD on the lattice . -
Supersymmetric Particle Searches
Citation: K.A. Olive et al. (Particle Data Group), Chin. Phys. C38, 090001 (2014) (URL: http://pdg.lbl.gov) Supersymmetric Particle Searches A REVIEW GOES HERE – Check our WWW List of Reviews A REVIEW GOES HERE – Check our WWW List of Reviews SUPERSYMMETRIC MODEL ASSUMPTIONS The exclusion of particle masses within a mass range (m1, m2) will be denoted with the notation “none m m ” in the VALUE column of the 1− 2 following Listings. The latest unpublished results are described in the “Supersymmetry: Experiment” review. A REVIEW GOES HERE – Check our WWW List of Reviews CONTENTS: χ0 (Lightest Neutralino) Mass Limit 1 e Accelerator limits for stable χ0 − 1 Bounds on χ0 from dark mattere searches − 1 χ0-p elastice cross section − 1 eSpin-dependent interactions Spin-independent interactions Other bounds on χ0 from astrophysics and cosmology − 1 Unstable χ0 (Lighteste Neutralino) Mass Limit − 1 χ0, χ0, χ0 (Neutralinos)e Mass Limits 2 3 4 χe ,eχ e(Charginos) Mass Limits 1± 2± Long-livede e χ± (Chargino) Mass Limits ν (Sneutrino)e Mass Limit Chargede Sleptons e (Selectron) Mass Limit − µ (Smuon) Mass Limit − e τ (Stau) Mass Limit − e Degenerate Charged Sleptons − e ℓ (Slepton) Mass Limit − q (Squark)e Mass Limit Long-livede q (Squark) Mass Limit b (Sbottom)e Mass Limit te (Stop) Mass Limit eHeavy g (Gluino) Mass Limit Long-lived/lighte g (Gluino) Mass Limit Light G (Gravitino)e Mass Limits from Collider Experiments Supersymmetrye Miscellaneous Results HTTP://PDG.LBL.GOV Page1 Created: 8/21/2014 12:57 Citation: K.A. Olive et al. -
Search for Long-Lived Stopped R-Hadrons Decaying out of Time with Pp Collisions Using the ATLAS Detector
PHYSICAL REVIEW D 88, 112003 (2013) Search for long-lived stopped R-hadrons decaying out of time with pp collisions using the ATLAS detector G. Aad et al.* (ATLAS Collaboration) (Received 24 October 2013; published 3 December 2013) An updated search is performed for gluino, top squark, or bottom squark R-hadrons that have come to rest within the ATLAS calorimeter, and decay at some later time to hadronic jets and a neutralino, using 5.0 and 22:9fbÀ1 of pp collisions at 7 and 8 TeV, respectively. Candidate decay events are triggered in selected empty bunch crossings of the LHC in order to remove pp collision backgrounds. Selections based on jet shape and muon system activity are applied to discriminate signal events from cosmic ray and beam-halo muon backgrounds. In the absence of an excess of events, improved limits are set on gluino, stop, and sbottom masses for different decays, lifetimes, and neutralino masses. With a neutralino of mass 100 GeV, the analysis excludes gluinos with mass below 832 GeV (with an expected lower limit of 731 GeV), for a gluino lifetime between 10 s and 1000 s in the generic R-hadron model with equal branching ratios for decays to qq~0 and g~0. Under the same assumptions for the neutralino mass and squark lifetime, top squarks and bottom squarks in the Regge R-hadron model are excluded with masses below 379 and 344 GeV, respectively. DOI: 10.1103/PhysRevD.88.112003 PACS numbers: 14.80.Ly R-hadrons may change their properties through strong I. -
Introduction to Supersymmetry
Introduction to Supersymmetry Pre-SUSY Summer School Corpus Christi, Texas May 15-18, 2019 Stephen P. Martin Northern Illinois University [email protected] 1 Topics: Why: Motivation for supersymmetry (SUSY) • What: SUSY Lagrangians, SUSY breaking and the Minimal • Supersymmetric Standard Model, superpartner decays Who: Sorry, not covered. • For some more details and a slightly better attempt at proper referencing: A supersymmetry primer, hep-ph/9709356, version 7, January 2016 • TASI 2011 lectures notes: two-component fermion notation and • supersymmetry, arXiv:1205.4076. If you find corrections, please do let me know! 2 Lecture 1: Motivation and Introduction to Supersymmetry Motivation: The Hierarchy Problem • Supermultiplets • Particle content of the Minimal Supersymmetric Standard Model • (MSSM) Need for “soft” breaking of supersymmetry • The Wess-Zumino Model • 3 People have cited many reasons why extensions of the Standard Model might involve supersymmetry (SUSY). Some of them are: A possible cold dark matter particle • A light Higgs boson, M = 125 GeV • h Unification of gauge couplings • Mathematical elegance, beauty • ⋆ “What does that even mean? No such thing!” – Some modern pundits ⋆ “We beg to differ.” – Einstein, Dirac, . However, for me, the single compelling reason is: The Hierarchy Problem • 4 An analogy: Coulomb self-energy correction to the electron’s mass A point-like electron would have an infinite classical electrostatic energy. Instead, suppose the electron is a solid sphere of uniform charge density and radius R. An undergraduate problem gives: 3e2 ∆ECoulomb = 20πǫ0R 2 Interpreting this as a correction ∆me = ∆ECoulomb/c to the electron mass: 15 0.86 10− meters m = m + (1 MeV/c2) × . -
Elementary Particle Physics from Theory to Experiment
Elementary Particle Physics From Theory to Experiment Carlos Wagner Physics Department, EFI and KICP, Univ. of Chicago HEP Division, Argonne National Laboratory Society of Physics Students, Univ. of Chicago, Nov. 10, 2014 Particle Physics studies the smallest pieces of matter, 1 1/10.000 1/100.000 1/100.000.000 and their interactions. Friday, November 2, 2012 Forces and Particles in Nature Gravitational Force Electromagnetic Force Attractive force between 2 massive objects: Attracts particles of opposite charge k e e F = 1 2 d2 1 G = 2 MPl Forces within atoms and between atoms Proportional to product of masses + and - charges bind together Strong Force and screen each other Assumes interaction over a distance d ==> comes from properties of spaceAtoms and timeare made fromElectrons protons, interact with protons via quantum neutrons and electrons. Strong nuclear forceof binds e.m. energy together : the photons protons and neutrons to form atoms nuclei Strong nuclear force binds! togethers! =1 m! = 0 protons and neutrons to form nuclei protonD. I. S. of uuelectronsd formedwith Modeled protons by threeor by neutrons a theoryquarks, based bound on together Is very weak unless one ofneutron theat masses high energies is huge,udd shows by thatthe U(1)gluons gauge of thesymmetry strong interactions like the earth protons and neutrons SU (3) c are not fundamental Friday,p November! u u d 2, 2012 formed by three quarks, bound together by n ! u d d the gluons of the strong interactions Modeled by a theory based on SU ( 3 ) C gauge symmetry we see no free quarks Very strong at large distances confinement " in nature ! Weak Force Force Mediating particle transformations Observation of Beta decay demands a novel interaction Weak Force Short range forces exist only inside the protons 2 and neutrons, with massive force carriers: gauge bosons ! W and Z " MW d FW ! e / d Similar transformations explain the non-observation of heavier elementary particles in our everyday experience. -
String Phenomenology 1 Minimal Supersymmetric Standard Model
Swedish String/Supergravity Course 2008 String Phenomenology Marcus Berg 1 Minimal Supersymmetric Standard Model A good reference is Martin [2], a review that was first posted on hep-ph in 1997 but which has been updated three times, most recently in 2006. The MSSM consists of a number of chiral and vector supermultiplets, one for each existing quark or 1 lepton or gauge boson Aµ in the Standard Model (SM): spin: 0 1/2 1 N = 1 chiral supermultiplet φ N = 1 vector supermultiplet λ Aµ The new fields, the superpartners of and Aµ, are denoted by tildes and called "s-" for the new scalars, ~, and "-ino" for the new fermions, A~: 0 1/2 1 squarks, sleptons −! ~ − quarks, leptons gauginos−! A~ Aµ − gauge bosons This is just the generic notation; usually one is more specific. So for example, one N = 1 chiral mul- tiplet has the t quark as the fermionic field, and the scalar superpartner is the "stop", t~. We impose that the superpartner masses are around the TeV scale, or even a little lower. The scale of superpartner masses is not \derived" in any real sense2 in the MSSM, but from the point of view of particle phenomenology, an MSSM-like theory with only very heavy superpartners would be indistinguishable from the nonsuper- symmetric standard model at any experiments done in the foreseeable future, so why bother? In fact, even string theorists should have some favored scenario what will happen at near-future experiments and observations, so let's try to understand where people who do experiments for a living have put their money. -
Physics Beyond Colliders at CERN: Beyond the Standard Model
EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH (CERN) CERN-PBC-REPORT-2018-007 Physics Beyond Colliders at CERN Beyond the Standard Model Working Group Report J. Beacham1, C. Burrage2,∗, D. Curtin3, A. De Roeck4, J. Evans5, J. L. Feng6, C. Gatto7, S. Gninenko8, A. Hartin9, I. Irastorza10, J. Jaeckel11, K. Jungmann12,∗, K. Kirch13,∗, F. Kling6, S. Knapen14, M. Lamont4, G. Lanfranchi4,15,∗,∗∗, C. Lazzeroni16, A. Lindner17, F. Martinez-Vidal18, M. Moulson15, N. Neri19, M. Papucci4,20, I. Pedraza21, K. Petridis22, M. Pospelov23,∗, A. Rozanov24,∗, G. Ruoso25,∗, P. Schuster26, Y. Semertzidis27, T. Spadaro15, C. Vallée24, and G. Wilkinson28. Abstract: The Physics Beyond Colliders initiative is an exploratory study aimed at exploiting the full scientific potential of the CERN’s accelerator complex and scientific infrastructures through projects complementary to the LHC and other possible future colliders. These projects will target fundamental physics questions in modern particle physics. This document presents the status of the proposals presented in the framework of the Beyond Standard Model physics working group, and explore their physics reach and the impact that CERN could have in the next 10-20 years on the international landscape. arXiv:1901.09966v2 [hep-ex] 2 Mar 2019 ∗ PBC-BSM Coordinators and Editors of this Report ∗∗ Corresponding Author: [email protected] 1 Ohio State University, Columbus OH, United States of America 2 University of Nottingham, Nottingham, United Kingdom 3 Department of Physics, University of Toronto, Toronto, -
Arxiv:1711.04534V4 [Hep-Ph]
UCI-HEP-TR-2017-15 Millicharged Scalar Fields, Massive Photons and the Breaking of SU(3)C U(1)EM × Jennifer Rittenhouse West∗ Department of Physics and Astronomy, University of California, Irvine, CA 92697, USA and SLAC National Accelerator Laboratory, Stanford University, Stanford, California 94309, USA (Dated: April 10, 2019) Under the assumption that the current epoch of the Universe is not special, i.e. is not the final state of a long history of processes in particle physics, the cosmological fate of SU(3)C × U(1)EM is investigated. Spontaneous symmetry breaking of U(1)EM at the temperature of the Universe today is carried out. The charged scalar field φEM which breaks the symmetry is found to be ruled out for the charge of the electron, q = e. − Scalar fields with millicharges are viable and limits on their masses and charges are found to be q . 10 3e and −5 mφEM . 10 eV. Furthermore, it is possible that U(1)EM has already been broken at temperatures higher −18 than T = 2.7K given the nonzero limits on the mass of the photon. A photon mass of mγ = 10 eV, the ∼ −13 current upper limit, is found to require a spontaneous symmetry breaking scalar mass of mφEM 10 eV with charge q = 10−6e, well within the allowed parameter space of the model. Finally, the cosmological fate of the strong interaction is studied. SU(3)C is tested for complementarity in which the confinement phase of QCD + colored scalars is equivalent to a spontaneously broken SU(3) gauge theory. -
A Study of Mesons and Glueballs
A Study of Mesons and Glueballs Tapashi Das Department of Physics Gauhati University This thesis is submitted to Gauhati University as requirement for the degree of Doctor of Philosophy Faculty of Science July 2017 Scanned by CamScanner Scanned by CamScanner Scanned by CamScanner Scanned by CamScanner Abstract The main work of the thesis is devoted to the study of heavy flavored mesons using a QCD potential model. Chapter 1 deals with the brief introduction of the theory of Quantum Chro- modynamics (QCD), potential models and the use of perturbation theory. In Chapter 2, the improved potential model is introduced and the solution of the non-relativistic Schro¨dinger’s equation for a Coulomb-plus-linear potential, V(r) = 4αs + br + c, Cornell potential has − 3r been conducted. The first-order wave functions are obtained using Dalgarno’s method. We explicitly consider two quantum mechanical aspects in our improved model: (a) the scale factor ‘c’ in the potential should not affect the wave function of the system even while applying the perturbation theory and (b) the choice of perturbative piece of the Hamiltonian (confinement or linear) should determine the effective radial separation between the quarks and antiquarks. Therefore for the validation of the quantum mechanical idea, the constant factor ‘c’ is considered to be zero and a cut-off rP is obtained from the theory. The model is then tested to calculate the masses, form factors, charge radii, RMS radii of mesons. In Chapter 3, the Isgur-Wise function and its derivatives of semileptonic decays of heavy-light mesons in both HQET limit (m ∞) and finite mass limit are calculated. -
Observability of R-Hadrons at the LHC
1 Observability of R-Hadrons at the LHC Andrea Rizzi, ETH Zuerich, CMS Collaboration Moriond QCD, 17-24/03/2007 O u t l i n e 2 ● Introduction to R-hadrons ● R-hadrons hadronic interactions ● LHC production ● Detector signature ● Trigger ● Slow particles mass measurement H e a v y S t a b l e C h a r g e d P a r t i c l e s 3 ● Some theories extending the SM predict new HSCP (hep-ph/0611040) – Gauge Mediated SuSY breaking => stau – Split Supersymmetry ● very high mass for scalars ● gluino is long lived – Other models: GDM, AMSB, extrDim, stable stop, 4th gen fermions ● To be clear: – heavy = mass in 100 GeV – few TeV region – stable = ctau > few meters (stable for LHC exp) ● LHC detectors are not designed for such particles I n t r o d u c t i o n t o R - h a d r o n s ● If new heavy stable particles are coloured they will form new 4 hadrons ● gluinos or stops are example of such particles ● New hadrons formed with new SuSY particles are called R-hadrons ● Several different states can be formed : Gluino: stop: baryons ~gqqq baryons ~tqq antibaryons ~g qbar qbar qbar antiparyons ~tbar qbar qbar mesons ~g q qbar mesons ~t qbar glue-balls ~g g antimesons ~tbar q ● Some are charged, some are neutral ● The charge can change in hadronic interactions with matter while crossing the detector (by “replacing” the light quarks bounded to the heavy parton) ● Simulation of hadronic interactions is crucial to understand LHC detectability H a d r o n i c i n t e r a c t i o n s ● Some models have been proposed to understand R-hadrons / matter interaction