LEPTON UNIVERSALITY by J

Total Page:16

File Type:pdf, Size:1020Kb

LEPTON UNIVERSALITY by J LEPTON UNIVERSALITY by J. RITCHIE PATTERSON “You know, it would be sufficient to really understand the electron.” —Albert Einstein LL OF US ARE FAMILIAR with the electron as the small companion of Athe atomic nucleus. It is the atomic nucleus that gives ordinary matter its weight, but the electron is responsible for the space that matter fills, for while it is small, the electron rules vast territories. The electron was first discovered thanks to the electric charge that it carries, and we rediscover the electron whenever we happen to get an electrical shock. BEAMLINE 7 Indeed, the root “electro-” comes As far as we know, the electron, It tells us that the electron is small from the Greek word meaning am- muon and tau are fundamental indeed: the agreement would be ber, so named because amber tends particles, and unlike molecules or spoiled if the radius of the elec- − to accumulate electric charge when atoms, they cannot be broken down tron were greater than about 10 14 rubbed, just as we do when we shuf- into smaller components. This is not centimeters. fle across a wool rug. the first time that we have thought Colliders provide an even more While the electron is unique in the we have found the fundamental powerful microscope into the elec- role that it plays in ordinary mat- building blocks of nature, and in the tron’s structure. By studying the ter, it is actually part of a trio. The past we have often been wrong. Or- deflections of electrons and anti- electron’s partners, called the muon dinary matter turned out to be made electrons when they collide with one and the tau, have the same electric of molecules, molecules of atoms, another, experimenters in Japan charge and seem to share its other atoms of nuclei and electrons, nuclei and Europe have probed the electron − properties as well. All its properties, of protons and neutrons, and, most on a scale as small as 10 17 cm, but that is, except one: their masses are recently, protons and neutrons of they see no sign of substructure. very different. The muon is heavier quarks. But the electron, muon and Equally precise studies of the muon than the electron by a factor of about tau appear to be indivisible: we see also yield null results. We know 200, while the tau is heavier by the no sign of constituents and they are much less about the tau, but so far, whopping factor of 3500. These three minuscule in size. In fact, surprising it too appears to be free of smaller particles are three of twelve known as it may seem, they may be point- constituents. fundamental particles of nature. like, with no spatial extent at all. The muon, which we write as µ, How do we measure the size of HE ELECTRON, MUON and was discovered in 1947 in cosmic the electron? Just as the electron tau are not alone. Each has a rays. At the time of its discovery, has electric charge, it also has an in- Tpartner called a neutrino, ν ν ν physicists had untangled quantum trinsic angular momentum that is written as e, µ and τ respectively. mechanics and understood atomic constant in time. We call this angu- The neutrinos are massless or near- structure and the nucleus. The puz- lar momentum “spin” and measure ly so, are electrically neutral, and are zles of nature had apparently been it in units of Planck’s constant h, insensitive to the strong force that solved, and many physicists were which, like the speed of light, is a binds atomic nuclei. As a result they ready to declare victory and retire. fundamental constant of nature. The are rarely detected. When they were The appearance of a new particle spin of the electron (and the muon first proposed by Wolfgang Pauli came as a surprise, and not an en- and tau) is h/2 . Like all circulating in order to explain the apparent tirely welcome one. As I. I. Rabi said electric charges, the electron’s spin loss of energy and momentum in at the time, “Who ordered this?” generates a magnetic field similar to radioactive decays, he apologized, “I The tau (τ) is a much more recent the one around the earth, the have done a terrible thing, I have discovery. It was found in 1975 by strength of which depends on the postulated a particle that cannot be a group led by Martin Perl at the spatial distribution of its charge. Cal- detected.” SPEAR particle accelerator at SLAC. culations of this magnetic field have Neutrinos may be hard to detect, This group observed that the col- been carried out for the electron us- but they are not rare. In fact, they are lision of an electron with an anti- ing the theory of quantum electro- produced abundantly in the sun, and electron (or “positron”) sometimes dynamics (QED) with the assumption more than 1013 pass through your produced particles in a configuration that the electron is pointlike. The re- body each second, and then contin- inconsistent with all known process- sults agree with the experimental ue though the earth and out the other es. Instead, it was exactly what one value within one part in one billion. side. Of these, only one per year would expect if new particles were This is the most precise test of the- interacts in your body, leaving a being produced that were similar to ory and experiment in physics, and brief ripple in its wake. Like the elec- electrons, but much heavier. the agreement is a triumph for QED. tron, muon and tau, the neutrinos 8 SPRING 1995 are believed to be carbon copies of “up” quarks and one “down” quark one another. All have the same spin while a neutron is made of one “up” νe νµ ντ and the same weak charge, and like quark and two “down” quarks). All µ τ the electron, muon and tau, they are other particles that we have observed ( e ) ( ) ( ) believed to be fundamental particles. (other than the leptons), such as the ν π What links the e and e as part- meson, are bound states of the u c t ners? In radioactive decays, we see quarks. d s b that the e is always accompanied by Like the leptons, the six quarks ( ) ( ) ( ) ν ν ν a e, but never, say, by a µ or a τ . seem to come in pairs, and their That the neutrino species are distinct masses range from very small in the The known fundamental particles was first demonstrated in 1962 by first generation to very large in the of nature. The upper six particles are Leon Lederman, Mel Schwartz, Jack third generation. In fact, the top the leptons and the lower six are the Steinberger and their collaborators quark weighs about as much as a quarks. Both the leptons and the quarks in an experiment which earned them gold nucleus. Why there should be are arranged into three generations of the Nobel prize. three generations, and the relation- two particles each (shown in brackets). ship between the lepton and quark HESE SIX PARTICLES, the elec- generations, are mysteries. tron, muon and tau plus their Could there be a fourth generation Tthree neutrinos are known as of quarks or leptons waiting to be “leptons,” a name derived from the discovered? Current evidence sug- Greek word λεπτοσ meaning small gests not. Data from the LEP accel- or light. (Had early particle physicists erator at CERN in Geneva, Switzer- known about the weighty τ, they land have shown that there are only might have chosen a different name!) three species of light (or massless) ν ν High energy physicists like to arrange neutrinos: these are the e, µ, and the leptons in a special way (see fig- ντ. Thus, if an additional generation ure on right), and refer to each lepton exists, its neutrino must be very mas- and its neutrino as a generation. The sive—a marked departure from the generations are ordered by the masses generations that we now know. of the charged leptons. In addition to the leptons, there is ORCES THAT CONTROL the in- another set of particles called quarks. teractions between particles are Quarks are similar to leptons, but un- Fas essential to nature as the par- like leptons, can interact via the ticles themselves. We know of four strong force. We know of six kinds forces: gravity; electromagnetism; (or “flavors”) of quark: “down,” “up,” the “strong” force, which binds to- “strange,” “charm,” “bottom,” and gether quarks into protons, neutrons, “top.” All of these are produced pro- π mesons or other, less common, par- lifically at accelerators except the ticles; and the “weak” force, which “top” quark, for which the first di- is responsible for the decay of ra- rect evidence was reported last year dioactive nuclei and for much of the by particle physicists at the Fermi activity in the sun. National Accelerator Laboratory lo- All of the forces operate in about cated outside Chicago. Quarks are the same way. Associated with each the building blocks of protons and one is a charge: electric charge for neutrons (a proton is made of two electromagnetism, mass for gravity, BEAM LINE 9 A particle physicist’s view of electromagnetic interactions. In the upper figure (a) two (a) charged particles, each represented by a solid line, scatter. A photon carrying e– e– energy and momentum is emitted by one and absorbed by the other. The lower figure (b) shows the less familiar annihilation of an electron and anti-electron.
Recommended publications
  • The Five Common Particles
    The Five Common Particles The world around you consists of only three particles: protons, neutrons, and electrons. Protons and neutrons form the nuclei of atoms, and electrons glue everything together and create chemicals and materials. Along with the photon and the neutrino, these particles are essentially the only ones that exist in our solar system, because all the other subatomic particles have half-lives of typically 10-9 second or less, and vanish almost the instant they are created by nuclear reactions in the Sun, etc. Particles interact via the four fundamental forces of nature. Some basic properties of these forces are summarized below. (Other aspects of the fundamental forces are also discussed in the Summary of Particle Physics document on this web site.) Force Range Common Particles It Affects Conserved Quantity gravity infinite neutron, proton, electron, neutrino, photon mass-energy electromagnetic infinite proton, electron, photon charge -14 strong nuclear force ≈ 10 m neutron, proton baryon number -15 weak nuclear force ≈ 10 m neutron, proton, electron, neutrino lepton number Every particle in nature has specific values of all four of the conserved quantities associated with each force. The values for the five common particles are: Particle Rest Mass1 Charge2 Baryon # Lepton # proton 938.3 MeV/c2 +1 e +1 0 neutron 939.6 MeV/c2 0 +1 0 electron 0.511 MeV/c2 -1 e 0 +1 neutrino ≈ 1 eV/c2 0 0 +1 photon 0 eV/c2 0 0 0 1) MeV = mega-electron-volt = 106 eV. It is customary in particle physics to measure the mass of a particle in terms of how much energy it would represent if it were converted via E = mc2.
    [Show full text]
  • The Particle World
    The Particle World ² What is our Universe made of? This talk: ² Where does it come from? ² particles as we understand them now ² Why does it behave the way it does? (the Standard Model) Particle physics tries to answer these ² prepare you for the exercise questions. Later: future of particle physics. JMF Southampton Masterclass 22–23 Mar 2004 1/26 Beginning of the 20th century: atoms have a nucleus and a surrounding cloud of electrons. The electrons are responsible for almost all behaviour of matter: ² emission of light ² electricity and magnetism ² electronics ² chemistry ² mechanical properties . technology. JMF Southampton Masterclass 22–23 Mar 2004 2/26 Nucleus at the centre of the atom: tiny Subsequently, particle physicists have yet contains almost all the mass of the discovered four more types of quark, two atom. Yet, it’s composite, made up of more pairs of heavier copies of the up protons and neutrons (or nucleons). and down: Open up a nucleon . it contains ² c or charm quark, charge +2=3 quarks. ² s or strange quark, charge ¡1=3 Normal matter can be understood with ² t or top quark, charge +2=3 just two types of quark. ² b or bottom quark, charge ¡1=3 ² + u or up quark, charge 2=3 Existed only in the early stages of the ² ¡ d or down quark, charge 1=3 universe and nowadays created in high energy physics experiments. JMF Southampton Masterclass 22–23 Mar 2004 3/26 But this is not all. The electron has a friend the electron-neutrino, ºe. Needed to ensure energy and momentum are conserved in ¯-decay: ¡ n ! p + e + º¯e Neutrino: no electric charge, (almost) no mass, hardly interacts at all.
    [Show full text]
  • Decays of the Tau Lepton*
    SLAC - 292 UC - 34D (E) DECAYS OF THE TAU LEPTON* Patricia R. Burchat Stanford Linear Accelerator Center Stanford University Stanford, California 94305 February 1986 Prepared for the Department of Energy under contract number DE-AC03-76SF00515 Printed in the United States of America. Available from the National Techni- cal Information Service, U.S. Department of Commerce, 5285 Port Royal Road, Springfield, Virginia 22161. Price: Printed Copy A07, Microfiche AOl. JC Ph.D. Dissertation. Abstract Previous measurements of the branching fractions of the tau lepton result in a discrepancy between the inclusive branching fraction and the sum of the exclusive branching fractions to final states containing one charged particle. The sum of the exclusive branching fractions is significantly smaller than the inclusive branching fraction. In this analysis, the branching fractions for all the major decay modes are measured simultaneously with the sum of the branching fractions constrained to be one. The branching fractions are measured using an unbiased sample of tau decays, with little background, selected from 207 pb-l of data accumulated with the Mark II detector at the PEP e+e- storage ring. The sample is selected using the decay products of one member of the r+~- pair produced in e+e- annihilation to identify the event and then including the opposite member of the pair in the sample. The sample is divided into subgroups according to charged and neutral particle multiplicity, and charged particle identification. The branching fractions are simultaneously measured using an unfold technique and a maximum likelihood fit. The results of this analysis indicate that the discrepancy found in previous experiments is possibly due to two sources.
    [Show full text]
  • Lepton Flavor and Number Conservation, and Physics Beyond the Standard Model
    Lepton Flavor and Number Conservation, and Physics Beyond the Standard Model Andr´ede Gouv^ea1 and Petr Vogel2 1 Department of Physics and Astronomy, Northwestern University, Evanston, Illinois, 60208, USA 2 Kellogg Radiation Laboratory, Caltech, Pasadena, California, 91125, USA April 1, 2013 Abstract The physics responsible for neutrino masses and lepton mixing remains unknown. More ex- perimental data are needed to constrain and guide possible generalizations of the standard model of particle physics, and reveal the mechanism behind nonzero neutrino masses. Here, the physics associated with searches for the violation of lepton-flavor conservation in charged-lepton processes and the violation of lepton-number conservation in nuclear physics processes is summarized. In the first part, several aspects of charged-lepton flavor violation are discussed, especially its sensitivity to new particles and interactions beyond the standard model of particle physics. The discussion concentrates mostly on rare processes involving muons and electrons. In the second part, the sta- tus of the conservation of total lepton number is discussed. The discussion here concentrates on current and future probes of this apparent law of Nature via searches for neutrinoless double beta decay, which is also the most sensitive probe of the potential Majorana nature of neutrinos. arXiv:1303.4097v2 [hep-ph] 29 Mar 2013 1 1 Introduction In the absence of interactions that lead to nonzero neutrino masses, the Standard Model Lagrangian is invariant under global U(1)e × U(1)µ × U(1)τ rotations of the lepton fields. In other words, if neutrinos are massless, individual lepton-flavor numbers { electron-number, muon-number, and tau-number { are expected to be conserved.
    [Show full text]
  • Neutrino Opacity I. Neutrino-Lepton Scattering*
    PHYSICAL REVIEW VOLUME 136, NUMBER 4B 23 NOVEMBER 1964 Neutrino Opacity I. Neutrino-Lepton Scattering* JOHN N. BAHCALL California Institute of Technology, Pasadena, California (Received 24 June 1964) The contribution of neutrino-lepton scattering to the total neutrino opacity of matter is investigated; it is found that, contrary to previous beliefs, neutrino scattering dominates the neutrino opacity for many astro­ physically important conditions. The rates for neutrino-electron scattering and antineutrino-electron scatter­ ing are given for a variety of conditions, including both degenerate and nondegenerate gases; the rates for some related reactions are also presented. Formulas are given for the mean scattering angle and the mean energy loss in neutrino and antineutrino scattering. Applications are made to the following problems: (a) the detection of solar neutrinos; (b) the escape of neutrinos from stars; (c) neutrino scattering in cosmology; and (d) energy deposition in supernova explosions. I. INTRODUCTION only been discussed for the special situation of electrons 13 14 XPERIMENTS1·2 designed to detect solar neu­ initially at rest. · E trinos will soon provide crucial tests of the theory In this paper, we investigate the contribution of of stellar energy generation. Other neutrino experiments neutrino-lepton scattering to the total neutrino opacity have been suggested as a test3 of a possible mechanism of matter and show, contrary to previous beliefs, that for producing the high-energy electrons that are inferred neutrino-lepton scattering dominates the neutrino to exist in strong radio sources and as a means4 for opacity for many astrophysically important conditions. studying the high-energy neutrinos emitted in the decay Here, neutrino opacity is defined, analogously to photon of cosmic-ray secondaries.
    [Show full text]
  • First Determination of the Electric Charge of the Top Quark
    First Determination of the Electric Charge of the Top Quark PER HANSSON arXiv:hep-ex/0702004v1 1 Feb 2007 Licentiate Thesis Stockholm, Sweden 2006 Licentiate Thesis First Determination of the Electric Charge of the Top Quark Per Hansson Particle and Astroparticle Physics, Department of Physics Royal Institute of Technology, SE-106 91 Stockholm, Sweden Stockholm, Sweden 2006 Cover illustration: View of a top quark pair event with an electron and four jets in the final state. Image by DØ Collaboration. Akademisk avhandling som med tillst˚and av Kungliga Tekniska H¨ogskolan i Stock- holm framl¨agges till offentlig granskning f¨or avl¨aggande av filosofie licentiatexamen fredagen den 24 november 2006 14.00 i sal FB54, AlbaNova Universitets Center, KTH Partikel- och Astropartikelfysik, Roslagstullsbacken 21, Stockholm. Avhandlingen f¨orsvaras p˚aengelska. ISBN 91-7178-493-4 TRITA-FYS 2006:69 ISSN 0280-316X ISRN KTH/FYS/--06:69--SE c Per Hansson, Oct 2006 Printed by Universitetsservice US AB 2006 Abstract In this thesis, the first determination of the electric charge of the top quark is presented using 370 pb−1 of data recorded by the DØ detector at the Fermilab Tevatron accelerator. tt¯ events are selected with one isolated electron or muon and at least four jets out of which two are b-tagged by reconstruction of a secondary decay vertex (SVT). The method is based on the discrimination between b- and ¯b-quark jets using a jet charge algorithm applied to SVT-tagged jets. A method to calibrate the jet charge algorithm with data is developed. A constrained kinematic fit is performed to associate the W bosons to the correct b-quark jets in the event and extract the top quark electric charge.
    [Show full text]
  • Review of Lepton Universality Tests in B Decays
    January 4, 2019 Review of Lepton Universality tests in B decays Simone Bifani∗, S´ebastienDescotes-Genony, Antonio Romero Vidalz, Marie-H´el`ene Schunex Abstract Several measurements of tree- and loop-level b-hadron decays performed in the recent years hint at a possible violation of Lepton Universality. This article presents an experimental and theoretical overview of the current status of the field. arXiv:1809.06229v2 [hep-ex] 3 Jan 2019 Published in Journal of Physics G: Nuclear and Particle Physics, Volume 46, Number 2 ∗University of Birmingham, School of Physics and Astronomy Edgbaston, Birmingham B15 2TT, United Kingdom yLaboratoire de Physique Th´eorique(UMR 8627), CNRS, Universit´eParis-Sud, Universit´eParis-Saclay, 91405 Orsay, France zInstituto Galego de F´ısicade Altas Enerx´ıas(IGFAE), Universidade de Santiago de Compostela, Santiago de Compostela, Spain xLaboratoire de l'Acc´el´erateurLin´eaire,CNRS/IN2P3, Universit´eParis-Sud, Universit´eParis-Saclay, 91440 Orsay, France Contents 1 Introduction 1 2 Lepton Universality in the Standard Model 2 3 Overview of Lepton Universality tests beyond the B sector 3 3.1 Electroweak sector . .4 3.2 Decays of pseudoscalar mesons . .5 3.3 Purely leptonic decays . .7 3.4 Quarkonia decays . .7 3.5 Summary . .7 4 Theoretical treatment of b-quark decays probing Lepton Universality 8 4.1 Effective Hamiltonian . .8 4.2 Hadronic quantities . 10 4.3 Lepton Universality observables . 13 5 Experiments at the B-factories and at the Large Hadron Collider 13 5.1 B-factories . 13 5.2 Large Hadron Collider . 16 5.3 Complementarity between the B-factories and the LHC .
    [Show full text]
  • Opportunities for Neutrino Physics at the Spallation Neutron Source (SNS)
    Opportunities for Neutrino Physics at the Spallation Neutron Source (SNS) Paper submitted for the 2008 Carolina International Symposium on Neutrino Physics Yu Efremenko1,2 and W R Hix2,1 1University of Tennessee, Knoxville TN 37919, USA 2Oak Ridge National Laboratory, Oak Ridge TN 37981, USA E-mail: [email protected] Abstract. In this paper we discuss opportunities for a neutrino program at the Spallation Neutrons Source (SNS) being commissioning at ORNL. Possible investigations can include study of neutrino-nuclear cross sections in the energy rage important for supernova dynamics and neutrino nucleosynthesis, search for neutrino-nucleus coherent scattering, and various tests of the standard model of electro-weak interactions. 1. Introduction It seems that only yesterday we gathered together here at Columbia for the first Carolina Neutrino Symposium on Neutrino Physics. To my great astonishment I realized it was already eight years ago. However by looking back we can see that enormous progress has been achieved in the field of neutrino science since that first meeting. Eight years ago we did not know which region of mixing parameters (SMA. LMA, LOW, Vac) [1] would explain the solar neutrino deficit. We did not know whether this deficit is due to neutrino oscillations or some other even more exotic phenomena, like neutrinos decay [2], or due to the some other effects [3]. Hints of neutrino oscillation of atmospheric neutrinos had not been confirmed in accelerator experiments. Double beta decay collaborations were just starting to think about experiments with sensitive masses of hundreds of kilograms. Eight years ago, very few considered that neutrinos can be used as a tool to study the Earth interior [4] or for non- proliferation [5].
    [Show full text]
  • Neutrino Physics
    SLAC Summer Institute on Particle Physics (SSI04), Aug. 2-13, 2004 Neutrino Physics Boris Kayser Fermilab, Batavia IL 60510, USA Thanks to compelling evidence that neutrinos can change flavor, we now know that they have nonzero masses, and that leptons mix. In these lectures, we explain the physics of neutrino flavor change, both in vacuum and in matter. Then, we describe what the flavor-change data have taught us about neutrinos. Finally, we consider some of the questions raised by the discovery of neutrino mass, explaining why these questions are so interesting, and how they might be answered experimentally, 1. PHYSICS OF NEUTRINO OSCILLATION 1.1. Introduction There has been a breakthrough in neutrino physics. It has been discovered that neutrinos have nonzero masses, and that leptons mix. The evidence for masses and mixing is the observation that neutrinos can change from one type, or “flavor”, to another. In this first section of these lectures, we will explain the physics of neutrino flavor change, or “oscillation”, as it is called. We will treat oscillation both in vacuum and in matter, and see why it implies masses and mixing. That neutrinos have masses means that there is a spectrum of neutrino mass eigenstates νi, i = 1, 2,..., each with + a mass mi. What leptonic mixing means may be understood by considering the leptonic decays W → νi + `α of the W boson. Here, α = e, µ, or τ, and `e is the electron, `µ the muon, and `τ the tau. The particle `α is referred to as the charged lepton of flavor α.
    [Show full text]
  • Muon Neutrino Mass Without Oscillations
    The Distant Possibility of Using a High-Luminosity Muon Source to Measure the Mass of the Neutrino Independent of Flavor Oscillations By John Michael Williams [email protected] Markanix Co. P. O. Box 2697 Redwood City, CA 94064 2001 February 19 (v. 1.02) Abstract: Short-baseline calculations reveal that if the neutrino were massive, it would show a beautifully structured spectrum in the energy difference between storage ring and detector; however, this spectrum seems beyond current experimental reach. An interval-timing paradigm would not seem feasible in a short-baseline experiment; however, interval timing on an Earth-Moon long baseline experiment might be able to improve current upper limits on the neutrino mass. Introduction After the Kamiokande and IMB proton-decay detectors unexpectedly recorded neutrinos (probably electron antineutrinos) arriving from the 1987A supernova, a plethora of papers issued on how to use this happy event to estimate the mass of the neutrino. Many of the estimates based on these data put an upper limit on the mass of the electron neutrino of perhaps 10 eV c2 [1]. When Super-Kamiokande and other instruments confirmed the apparent deficit in electron neutrinos from the Sun, and when a deficit in atmospheric muon- neutrinos likewise was observed, this prompted the extension of the kaon-oscillation theory to neutrinos, culminating in a flavor-oscillation theory based by analogy on the CKM quark mixing matrix. The oscillation theory was sensitive enough to provide evidence of a neutrino mass, even given the low statistics available at the largest instruments. J. M. Williams Neutrino Mass Without Oscillations (2001-02-19) 2 However, there is reason to doubt that the CKM analysis validly can be applied physically over the long, nonvirtual propagation distances of neutrinos [2].
    [Show full text]
  • 1 Drawing Feynman Diagrams
    1 Drawing Feynman Diagrams 1. A fermion (quark, lepton, neutrino) is drawn by a straight line with an arrow pointing to the left: f f 2. An antifermion is drawn by a straight line with an arrow pointing to the right: f f 3. A photon or W ±, Z0 boson is drawn by a wavy line: γ W ±;Z0 4. A gluon is drawn by a curled line: g 5. The emission of a photon from a lepton or a quark doesn’t change the fermion: γ l; q l; q But a photon cannot be emitted from a neutrino: γ ν ν 6. The emission of a W ± from a fermion changes the flavour of the fermion in the following way: − − − 2 Q = −1 e µ τ u c t Q = + 3 1 Q = 0 νe νµ ντ d s b Q = − 3 But for quarks, we have an additional mixing between families: u c t d s b This means that when emitting a W ±, an u quark for example will mostly change into a d quark, but it has a small chance to change into a s quark instead, and an even smaller chance to change into a b quark. Similarly, a c will mostly change into a s quark, but has small chances of changing into an u or b. Note that there is no horizontal mixing, i.e. an u never changes into a c quark! In practice, we will limit ourselves to the light quarks (u; d; s): 1 DRAWING FEYNMAN DIAGRAMS 2 u d s Some examples for diagrams emitting a W ±: W − W + e− νe u d And using quark mixing: W + u s To know the sign of the W -boson, we use charge conservation: the sum of the charges at the left hand side must equal the sum of the charges at the right hand side.
    [Show full text]
  • PSI Muon-Neutrino and Pion Masses
    Around the Laboratories More penguins. The CLEO detector at Cornell's CESR electron-positron collider reveals a clear excess signal of photons from rare B particle decays, once the parent upsilon 4S resonance has been taken into account. The convincing curve is the theoretically predicted spectrum. could be at the root of the symmetry breaking mechanism which drives the Standard Model. PSI Muon-neutrino and pion masses wo experiments at the Swiss T Paul Scherrer Institute (PSI) in Villigen have recently led to more precise values for two important physics quantities - the masses of the muon-type neutrino and of the charged pion. The first of these experiments - B. Jeckelmann et al. (Fribourg Univer­ sity, ETH and Eidgenoessisches Amt fuer Messwesen) was originally done about a decade ago. To fix the negative-pion mass, a high-precision crystal spectrometer measured the energy of the X-rays emitted in the 4f-3d transition of pionic magnesium atoms. The result (JECKELMANN 86 in the graph, page 16), with smaller seen in neutral kaon decay. can emerge. Drawing physics conclu­ errors than previous charged-pion CP violation - the disregard at the sions from the K* example was mass measurements, dominated the few per mil level of a invariance of therefore difficult. world average. physics with respect to a simultane­ Now the CLEO group has collected In view of more recent measure­ ous left-right reversal and particle- all such events producing a photon ments on pionic magnesium, a re- antiparticle switch - has been known with energy between 2.2 and 2.7 analysis shows that the measured X- for thirty years.
    [Show full text]