Discovering the Quantum Universe
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Report of the Supersymmetry Theory Subgroup
Report of the Supersymmetry Theory Subgroup J. Amundson (Wisconsin), G. Anderson (FNAL), H. Baer (FSU), J. Bagger (Johns Hopkins), R.M. Barnett (LBNL), C.H. Chen (UC Davis), G. Cleaver (OSU), B. Dobrescu (BU), M. Drees (Wisconsin), J.F. Gunion (UC Davis), G.L. Kane (Michigan), B. Kayser (NSF), C. Kolda (IAS), J. Lykken (FNAL), S.P. Martin (Michigan), T. Moroi (LBNL), S. Mrenna (Argonne), M. Nojiri (KEK), D. Pierce (SLAC), X. Tata (Hawaii), S. Thomas (SLAC), J.D. Wells (SLAC), B. Wright (North Carolina), Y. Yamada (Wisconsin) ABSTRACT Spacetime supersymmetry appears to be a fundamental in- gredient of superstring theory. We provide a mini-guide to some of the possible manifesta- tions of weak-scale supersymmetry. For each of six scenarios These motivations say nothing about the scale at which nature we provide might be supersymmetric. Indeed, there are additional motiva- tions for weak-scale supersymmetry. a brief description of the theoretical underpinnings, Incorporation of supersymmetry into the SM leads to a so- the adjustable parameters, lution of the gauge hierarchy problem. Namely, quadratic divergences in loop corrections to the Higgs boson mass a qualitative description of the associated phenomenology at future colliders, will cancel between fermionic and bosonic loops. This mechanism works only if the superpartner particle masses comments on how to simulate each scenario with existing are roughly of order or less than the weak scale. event generators. There exists an experimental hint: the three gauge cou- plings can unify at the Grand Uni®cation scale if there ex- I. INTRODUCTION ist weak-scale supersymmetric particles, with a desert be- The Standard Model (SM) is a theory of spin- 1 matter tween the weak scale and the GUT scale. -
The Standard Model of Particle Physics and Beyond
Clases de Master FisyMat, Desarrollos Actuales The Standard Model of particle physics and Beyond Date and time: 02/03 to 07/04/2021 15:30–17:00 Video/Sala CAJAL Organizer and Lecturer: Abdelhak Djouadi ([email protected]) You can find the pdfs of the lectures at: https://www.ugr.es/˜adjouadi/ 6. Supersymmetric theories 6.1 Basics of Supersymmetry 6.2 The minimal Supesymmetric Standard Model 6.3 The constrained MSSM’s 6.4 The superparticle spectrum 6.5 The Higgs sector of the MSSM 6.6 Beyond the MSSM 1 6.1 Basics of Supersymmetry Here, we give only basic facts needed later in the phenomenological discussion. For details on theoretical issues, see basic textbooks like Drees, Godbole, Roy. SUperSYmmetry: is a symmetry that relates scalars/vector bosons and fermions. The SUSY generators transform fermions into bosons and vice–versa, namely: FermionQ > Boson > , Boson > Fermion > Q| | Q| | must be an anti–commuting (and thus rather complicated) object. Q † is also a distinct symmetry generator: Q † Fermion > Boson > , † Boson > Fermion > Q | | Q | | Highly restricted [e.g., no go theorem] theories and in 4-dimension with chiral fermions: 1 , † carry spin– with left- and right- helicities and they should obey Q Q 2 .... The SUSY algebra: which schematically is given by µ , † = P , , =0 , †, † =0, {Qµ Q } µ {Q Q} a {Q Qa } [P , ]=0, [P , †]=0, [T , ]=0, [T , †]=0 Q Q Q Q P µ: is the generator of space–time transformations. T a are the generators of internal (gauge) symmetries. SUSY: unique extension of the Poincar´egroup of space–time symmetry to include ⇒ a four–dimensional Quantum Field Theory.. -
Gaugino-Induced Quark and Lepton Masses in a Truly Minimal Left-Right
UCRHEP-T354 ULB-TH/03-16 NSF-KITP-03-32 May 2003 Gaugino-induced quark and lepton masses in a truly minimal left-right model J.-M. Fr`ere1,3 and Ernest Ma2,3 1 Service de Physique Th´eorique, Universit´eLibre de Bruxelles, B-1050 Brussels, Belgium 2 Physics Department, University of California, Riverside, California 92521, USA 3 Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106, USA arXiv:hep-ph/0305155v2 20 Aug 2003 Abstract It has recently been proposed that all fundamental fermion masses (whether Dirac or Majorana) come from effective dimension-five operators in the context of a truly minimal left-right model. We show how a particularly economical scheme emerges in a supersymmetric framework, where chiral symmetry breaking originates in the gaugino sector. In the Standard Model of particle interactions, the spontaneous breaking of the SU(2)L × U(1)Y gauge symmetry to U(1)em is achieved through the vacuum expectation value of the scalar doublet Φ = (φ+,φ0). At the same time, since left-handed quarks and leptons are doublets under SU(2)L U(1)Y whereas right-handed quarks and leptons are singlets, chiral × symmetry is also broken by φ0 , thus allowing quarks and leptons to acquire the usual Dirac h i masses. The only exception is the neutrino which gets a small Majorana mass through the unique dimension-five operator [1, 2] fij 0 + 0 + Λ = (νiφ eiφ )(νjφ ejφ )+ H.c. (1) L 2Λ − − Suppose we now extend the standard-model gauge symmetry to SU(3)C SU(2)L × × SU(2)R U(1)B L [3], then the spontaneous breaking of SU(2)R U(1)B L to U(1)Y is × − × − simply achieved by the scalar doublet + 0 ΦR =(φ ,φ ) (1, 1, 2, 1), (2) R R ∼ where the notation refers to the dimension of the non-Abelian representation or the value of the Abelian charge B L or Y in the convention − 1 Y Q = I3L + I3R + (B L)= I3L + , (3) 2 − 2 while the corresponding field + 0 ΦL =(φ ,φ ) (1, 2, 1, 1), (4) L L ∼ becomes the same as the usual scalar doublet of the Standard Model, and breaks SU(2)L × U(1)Y in turn to U(1)em. -
Table of Contents (Print)
PERIODICALS PHYSICAL REVIEW Dä For editorial and subscription correspondence, Postmaster send address changes to: please see inside front cover (ISSN: 1550-7998) APS Subscription Services P.O. Box 41 Annapolis Junction, MD 20701 THIRD SERIES, VOLUME 90, NUMBER 5 CONTENTS D1 SEPTEMBER 2014 RAPID COMMUNICATIONS Measurement of the electric charge of the top quark in tt¯ events (8 pages) ........................................................ 051101(R) V. M. Abazov et al. (D0 Collaboration) BRST-symmetry breaking and Bose-ghost propagator in lattice minimal Landau gauge (5 pages) ............................. 051501(R) Attilio Cucchieri, David Dudal, Tereza Mendes, and Nele Vandersickel ARTICLES pffiffiffi Search for supersymmetry in events with four or more leptons in s ¼ 8 TeV pp collisions with the ATLAS detector (33 pages) ................................................................................................................................. 052001 G. Aad et al. (ATLAS Collaboration) pffiffiffi Low-mass vector-meson production at forward rapidity in p þ p collisions at s ¼ 200 GeV (12 pages) .................. 052002 A. Adare et al. (PHENIX Collaboration) Measurement of Collins asymmetries in inclusive production of charged pion pairs in eþe− annihilation at BABAR (26 pages) 052003 J. P. Lees et al. (BABAR Collaboration) Measurement of the Higgs boson mass from the H → γγ and H → ZZÃ → 4l channels in pp collisions at center-of-mass energies of 7 and 8 TeV with the ATLAS detector (35 pages) ................................................................... 052004 G. Aad et al. (ATLAS Collaboration) pffiffiffi Search for high-mass dilepton resonances in pp collisions at s ¼ 8 TeV with the ATLAS detector (30 pages) .......... 052005 G. Aad et al. (ATLAS Collaboration) Search for low-mass dark matter with CsI(Tl) crystal detectors (6 pages) .......................................................... 052006 H. -
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. -
Printed Here
PHYSICAL REVIEW C VOLUME 55, NUMBER 2 FEBRUARY 1997 Selected Abstracts from Physical Review D Abstracts of papers published in Physical Review D which may be of interest to our readers are printed here. Superlight neutralino as a dark matter particle candidate. V. A. Constraints on big bang nucleosynthesis ~BBN! and on cosmo- Bednyakov, Max-Planck-Institut fu¨r Kernphysik, Postfach 103980, logical parameters from conflicting deuterium observations in dif- D-69029, Heidelberg, Germany and Laboratory of Nuclear Prob- ferent high redshift QSO systems are discussed. The high deuterium lems, Joint Institute for Nuclear Research, Moscow region, 141980 observations by Carswell et al., Songaila et al., and Rugers and Dubna, Russia; H. V. Klapdor-Kleingrothaus, Max-Planck-Institut Hogan are consistent with 4He and 7Li observations and standard fu¨r Kernphysik, Postfach 103980, D-69029, Heidelberg, Germany; BBN (Nn 53! and allows Nn<3.6 at 95% C.L., but are inconsistent S. G. Kovalenko, Max-Planck-Institut fu¨r Kernphysik, Postfach with local observations of D and 3He in the context of conventional 103980, D-69029, Heidelberg, Germany and Laboratory of Nuclear theories of stellar and galactic evolution. In contrast, the low deu- Problems, Joint Institute for Nuclear Research, Moscow region, terium observations by Tytler, Fan, and Burles and Burles and 141980 Dubna, Russia. ~Received 2 August 1996! Tytler are consistent with the constraints from local galactic obser- We address the question of how light the lightest supersymmetric vations, but require Nn51.960.3 at 68% C.L., excluding standard particle neutralino can be to be a reliable cold dark matter ~CDM! BBN at 99.9% C.L., unless the systematic uncertainties in the 4 particle candidate. -
Anomalous Muon Magnetic Moment, Supersymmetry, Naturalness, LHC Search Limits and the Landscape
OU-HEP-210415 Anomalous muon magnetic moment, supersymmetry, naturalness, LHC search limits and the landscape Howard Baer1∗, Vernon Barger2†, Hasan Serce1‡ 1Homer L. Dodge Department of Physics and Astronomy, University of Oklahoma, Norman, OK 73019, USA 2Department of Physics, University of Wisconsin, Madison, WI 53706 USA Abstract The recent measurement of the muon anomalous magnetic moment aµ ≡ (g − 2)µ=2 by the Fermilab Muon g − 2 experiment sharpens an earlier discrepancy between theory and the BNL E821 experiment. We examine the predicted ∆aµ ≡ aµ(exp) − aµ(th) in the context of supersymmetry with low electroweak naturalness (restricting to models which give a plausible explanation for the magnitude of the weak scale). A global analy- sis including LHC Higgs mass and sparticle search limits points to interpretation within the normal scalar mass hierarchy (NSMH) SUSY model wherein first/second generation matter scalars are much lighter than third generation scalars. We present a benchmark model for a viable NSMH point which is natural, obeys LHC Higgs and sparticle mass constraints and explains the muon magnetic anomaly. Aside from NSMH models, then we find the (g − 2)µ anomaly cannot be explained within the context of natural SUSY, where a variety of data point to decoupled first/second generation scalars. The situation is worse within the string landscape where first/second generation matter scalars are pulled arXiv:2104.07597v2 [hep-ph] 16 May 2021 to values in the 10 − 50 TeV range. An alternative interpretation for SUSY models with decoupled scalar masses is that perhaps the recent lattice evaluation of the hadronic vac- uum polarization could be confirmed which leads to a Standard Model theory-experiment agreement in which case there is no anomaly. -
Mass Degeneracy of the Higgsinos
CERN–TH/95–337 Mass Degeneracy of the Higgsinos Gian F. Giudice1 and Alex Pomarol Theory Division, CERN CH-1211 Geneva 23, Switzerland Abstract The search for charginos and neutralinos at LEP2 can become problematic if these particles are almost mass degenerate with the lightest neutralino. Unfortunately this is the case in the region where these particles are higgsino-like. We show that, in this region, radiative corrections to the higgsino mass splittings can be as large as the tree-level values, if the mixing between the two stop states is large. We also show that the degree of degeneracy of the higgsinos substantially increases if a large phase is present in the higgsino mass term µ. CERN–TH/95–337 December 1995 1On leave of absence from INFN Sezione di Padova, Padua, Italy. The search for charginos (˜χ+) at LEP2 is one of the most promising ways of discovering low-energy supersymmetry. If theχ ˜+ decays into the lightest neutralino (˜χ0) and a virtual W +, it can be discovered at LEP2 (with a L = 500 pb−1) whenever its production cross R section is larger than about 0.1–0.3pbandmχ˜0 is within the range mχ˜0 ∼> 20 GeV and mχ˜+ − mχ˜0 ∼> 5–10 GeV [1]. Therefore, the chargino can be discovered almost up to the LEP2 kinematical limit, unless one of the following three conditions occurs: i) The sneutrino (˜ν) is light and the chargino is mainly gaugino-like. In this case theν ˜ t-channel exchange interferes destructively with the gauge-boson exchange and can reduce the chargino production cross section below the minimum values required for observability, 0.1–0.3 pb. -
Arxiv:Astro-Ph/0010112 V2 10 Apr 2001
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by CERN Document Server NYU-TH-00/09/05 Preprint typeset using LATEX style emulateapj v. 14/09/00 NEUTRON STARS WITH A STABLE, LIGHT SUPERSYMMETRIC BARYON SHMUEL BALBERG1,GLENNYS R. FARRAR2 AND TSVI PIRAN3 NYU-TH-00/09/05 ABSTRACT ¼ If a light gluino exists, the lightest gluino-containing baryon, the Ë , is a possible candidate for self-interacting ¼ ª =ª 6 ½¼ Ñ dÑ b dark matter. In this scenario, the simplest explanation for the observed ratio is that Ë ¼ ¾ Ë 9¼¼ MeVc ; this is not at present excluded by particle physics. Such an could be present in neutron stars, with hyperon formation serving as an intermediate stage. We calculate equilibrium compositions and equation of ¼ state for high density matter with the Ë , and find that for a wide range of parameters the properties of neutron ¼ stars with the Ë are consistent with observations. In particular, the maximum mass of a nonrotating star is ¼ ½:7 ½:8 Å Ë ¬ , and the presence of the is helpful in reconciling observed cooling rates with hyperon formation. Subject headings: dark matter–dense matter–elementary particles–equation of state–stars: neutron 1. INTRODUCTION also Farrar & Gabadadze (2000) and references therein. The lightest supersymmetric “Ê-hadrons” are the spin-1/2 The interiors of neutron stars offer a unique meeting point ¼ gg Ê ~ bound state ( or glueballino) and the spin-0 baryon between astrophysics on one hand and nuclear and particle ¼ ¼ g~ Ë Ë Ùd× bound state, the .The is thus a boson with baryon physics on the other. -
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. -
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) × . -
Beyond the Standard Model
Beyond the Standard Model Mihoko M. Nojiri Theory Center, IPNS, KEK, Tsukuba, Japan, and Kavli IPMU, The University of Tokyo, Kashiwa, Japan Abstract A Brief review on the physics beyond the Standard Model. 1 Quest of BSM Although the standard model of elementary particles(SM) describes the high energy phenomena very well, particle physicists have been attracted by the physics beyond the Standard Model (BSM). There are very good reasons about this; 1. The SM Higgs sector is not natural. 2. There is no dark matter candidate in the SM. 3. Origin of three gauge interactions is not understood in the SM. 4. Cosmological observations suggest an inflation period in the early universe. The non-zero baryon number of our universe is not consistent with the inflation picture unless a new interaction is introduced. The Higgs boson candidate was discovered recently. The study of the Higgs boson nature is extremely important for the BSM study. The Higgs boson is a spin 0 particle, and the structure of the radiative correction is quite different from those of fermions and gauge bosons. The correction of the Higgs boson mass is proportional to the cut-off scale, called “quadratic divergence". If the cut-off scale is high, the correction becomes unacceptably large compared with the on-shell mass of the Higgs boson. This is often called a “fine turning problem". Note that such quadratic divergence does not appear in the radiative correction to the fermion and gauge boson masses. They are protected by the chiral and gauge symmetries, respectively. The problem can be solved if there are an intermediate scale where new particles appears, and the radiative correction from the new particles compensates the SM radiative correction.