Constraints on the Final Fermions of an Exotic Higgs Decay
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Jet Quenching in Quark Gluon Plasma: flavor Tomography at RHIC and LHC by the CUJET Model
Jet quenching in Quark Gluon Plasma: flavor tomography at RHIC and LHC by the CUJET model Alessandro Buzzatti Submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the Graduate School of Arts and Sciences Columbia University 2013 c 2013 Alessandro Buzzatti All Rights Reserved Abstract Jet quenching in Quark Gluon Plasma: flavor tomography at RHIC and LHC by the CUJET model Alessandro Buzzatti A new jet tomographic model and numerical code, CUJET, is developed in this thesis and applied to the phenomenological study of the Quark Gluon Plasma produced in Heavy Ion Collisions. Contents List of Figures iv Acknowledgments xxvii Dedication xxviii Outline 1 1 Introduction 4 1.1 Quantum ChromoDynamics . .4 1.1.1 History . .4 1.1.2 Asymptotic freedom and confinement . .7 1.1.3 Screening mass . 10 1.1.4 Bag model . 12 1.1.5 Chiral symmetry breaking . 15 1.1.6 Lattice QCD . 19 1.1.7 Phase diagram . 28 1.2 Quark Gluon Plasma . 30 i 1.2.1 Initial conditions . 32 1.2.2 Thermalized plasma . 36 1.2.3 Finite temperature QFT . 38 1.2.4 Hydrodynamics and collective flow . 45 1.2.5 Hadronization and freeze-out . 50 1.3 Hard probes . 55 1.3.1 Nuclear effects . 57 2 Energy loss 62 2.1 Radiative energy loss models . 63 2.2 Gunion-Bertsch incoherent radiation . 67 2.3 Opacity order expansion . 69 2.3.1 Gyulassy-Wang model . 70 2.3.2 GLV . 74 2.3.3 Multiple gluon emission . 78 2.3.4 Multiple soft scattering . -
Mesons Modeled Using Only Electrons and Positrons with Relativistic Onium Theory Ray Fleming [email protected]
All mesons modeled using only electrons and positrons with relativistic onium theory Ray Fleming [email protected] All mesons were investigated to determine if they can be modeled with the onium model discovered by Milne, Feynman, and Sternglass with only electrons and positrons. They discovered the relativistic positronium solution has the mass of a neutral pion and the relativistic onium mass increases in steps of me/α and me/2α per particle which is consistent with known mass quantization. Any pair of particles or resonances can orbit relativistically and particles and resonances can collocate to form increasingly complex resonances. Pions are positronium, kaons are pionium, D mesons are kaonium, and B mesons are Donium in the onium model. Baryons, which are addressed in another paper, have a non-relativistic nucleon combined with mesons. The results of this meson analysis shows that the compo- sition, charge, and mass of all mesons can be accurately modeled. Of the 220 mesons mod- eled, 170 mass estimates are within 5 MeV/c2 and masses of 111 of 121 D, B, charmonium, and bottomonium mesons are estimated to within 0.2% relative error. Since all mesons can be modeled using only electrons and positrons, quarks and quark theory are unnecessary. 1. Introduction 2. Method This paper is a report on an investigation to find Sternglass and Browne realized that a neutral pion whether mesons can be modeled as combinations of (π0), as a relativistic electron-positron pair, can orbit a only electrons and positrons using onium theory. A non-relativistic particle or resonance in what Browne companion paper on baryons is also available. -
B2.IV Nuclear and Particle Physics
B2.IV Nuclear and Particle Physics A.J. Barr February 13, 2014 ii Contents 1 Introduction 1 2 Nuclear 3 2.1 Structure of matter and energy scales . 3 2.2 Binding Energy . 4 2.2.1 Semi-empirical mass formula . 4 2.3 Decays and reactions . 8 2.3.1 Alpha Decays . 10 2.3.2 Beta decays . 13 2.4 Nuclear Scattering . 18 2.4.1 Cross sections . 18 2.4.2 Resonances and the Breit-Wigner formula . 19 2.4.3 Nuclear scattering and form factors . 22 2.5 Key points . 24 Appendices 25 2.A Natural units . 25 2.B Tools . 26 2.B.1 Decays and the Fermi Golden Rule . 26 2.B.2 Density of states . 26 2.B.3 Fermi G.R. example . 27 2.B.4 Lifetimes and decays . 27 2.B.5 The flux factor . 28 2.B.6 Luminosity . 28 2.C Shell Model § ............................. 29 2.D Gamma decays § ............................ 29 3 Hadrons 33 3.1 Introduction . 33 3.1.1 Pions . 33 3.1.2 Baryon number conservation . 34 3.1.3 Delta baryons . 35 3.2 Linear Accelerators . 36 iii CONTENTS CONTENTS 3.3 Symmetries . 36 3.3.1 Baryons . 37 3.3.2 Mesons . 37 3.3.3 Quark flow diagrams . 38 3.3.4 Strangeness . 39 3.3.5 Pseudoscalar octet . 40 3.3.6 Baryon octet . 40 3.4 Colour . 41 3.5 Heavier quarks . 43 3.6 Charmonium . 45 3.7 Hadron decays . 47 Appendices 48 3.A Isospin § ................................ 49 3.B Discovery of the Omega § ...................... -
Ions, Protons, and Photons As Signatures of Monopoles
universe Article Ions, Protons, and Photons as Signatures of Monopoles Vicente Vento Departamento de Física Teórica-IFIC, Universidad de Valencia-CSIC, 46100 Burjassot (Valencia), Spain; [email protected] Received: 8 October 2018; Accepted: 1 November 2018; Published: 7 November 2018 Abstract: Magnetic monopoles have been a subject of interest since Dirac established the relationship between the existence of monopoles and charge quantization. The Dirac quantization condition bestows the monopole with a huge magnetic charge. The aim of this study was to determine whether this huge magnetic charge allows monopoles to be detected by the scattering of charged ions and protons on matter where they might be bound. We also analyze if this charge favors monopolium (monopole–antimonopole) annihilation into many photons over two photon decays. 1. Introduction The theoretical justification for the existence of classical magnetic poles, hereafter called monopoles, is that they add symmetry to Maxwell’s equations and explain charge quantization. Dirac showed that the mere existence of a monopole in the universe could offer an explanation of the discrete nature of the electric charge. His analysis leads to the Dirac Quantization Condition (DQC) [1,2] eg = N/2, N = 1, 2, ..., (1) where e is the electron charge, g the monopole magnetic charge, and we use natural units h¯ = c = 1 = 4p#0. Monopoles have been a subject of experimental interest since Dirac first proposed them in 1931. In Dirac’s formulation, monopoles are assumed to exist as point-like particles and quantum mechanical consistency conditions lead to establish the value of their magnetic charge. Because of of the large magnetic charge as a consequence of Equation (1), monopoles can bind in matter [3]. -
Differences Between Quark and Gluon Jets As Seen at LEP 1 Introduction
UA0501305 Differences between Quark and Gluon jets as seen at LEP Marek Tasevsky CERN, CH-1211 Geneva 28, Switzerland E-mail: [email protected] Abstract The differences between quark and gluon jets are stud- ied using LEP results on jet widths, scale dependent multi- plicities, ratios of multiplicities, slopes and curvatures and fragmentation functions. It is emphasized that the ob- served differences stem primarily from the different quark and gluon colour factors. 1 Introduction The physics of the differences between quark and gluonjets contin- uously attracts an interest of both, theorists and experimentalists. Hadron production can be described by parton showers (successive gluon emissions and splittings) followed by formation of hadrons which cannot be described perturbatively. The gluon emission, being dominant process in the parton showers, is proportional to the colour factor associated with the coupling of the emitted gluon to the emitter. These colour factors are CA = 3 when the emit- ter is a gluon and Cp = 4/3 when it is a quark. Consequently, U6 the multiplicity from a gluon source is (asymptotically) 9/4 higher than from a quark source. In QCD calculations, the jet properties are usually defined in- clusively, by the particles in hemispheres of quark-antiquark (qq) or gluon-gluon (gg) systems in an overall colour singlet rather than by a jet algorithm. In contrast to the experimental results which often depend on a jet finder employed (biased jets), the inclusive jets do not depend on any jet finder (unbiased jets). 2 Results 2.1 Jet Widths As a consequence of the greater radiation of soft gluons in a gluon jet compared to a quark jet, gluon jets are predicted to be broader. -
Introduction to QCD and Jet I
Introduction to QCD and Jet I Bo-Wen Xiao Pennsylvania State University and Institute of Particle Physics, Central China Normal University Jet Summer School McGill June 2012 1 / 38 Overview of the Lectures Lecture 1 - Introduction to QCD and Jet QCD basics Sterman-Weinberg Jet in e+e− annihilation Collinear Factorization and DGLAP equation Basic ideas of kt factorization Lecture 2 - kt factorization and Dijet Processes in pA collisions kt Factorization and BFKL equation Non-linear small-x evolution equations. Dijet processes in pA collisions (RHIC and LHC related physics) Lecture 3 - kt factorization and Higher Order Calculations in pA collisions No much specific exercise. 1. filling gaps of derivation; 2. Reading materials. 2 / 38 Outline 1 Introduction to QCD and Jet QCD Basics Sterman-Weinberg Jets Collinear Factorization and DGLAP equation Transverse Momentum Dependent (TMD or kt) Factorization 3 / 38 References: R.D. Field, Applications of perturbative QCD A lot of detailed examples. R. K. Ellis, W. J. Stirling and B. R. Webber, QCD and Collider Physics CTEQ, Handbook of Perturbative QCD CTEQ website. John Collins, The Foundation of Perturbative QCD Includes a lot new development. Yu. L. Dokshitzer, V. A. Khoze, A. H. Mueller and S. I. Troyan, Basics of Perturbative QCD More advanced discussion on the small-x physics. S. Donnachie, G. Dosch, P. Landshoff and O. Nachtmann, Pomeron Physics and QCD V. Barone and E. Predazzi, High-Energy Particle Diffraction 4 / 38 Introduction to QCD and Jet QCD Basics QCD QCD Lagrangian a a a b c with F = @µA @ν A gfabcA A . µν ν − µ − µ ν Non-Abelian gauge field theory. -
STRANGE MESON SPECTROSCOPY in Km and K$ at 11 Gev/C and CHERENKOV RING IMAGING at SLD *
SLAC-409 UC-414 (E/I) STRANGE MESON SPECTROSCOPY IN Km AND K$ AT 11 GeV/c AND CHERENKOV RING IMAGING AT SLD * Youngjoon Kwon Stanford Linear Accelerator Center Stanford University Stanford, CA 94309 January 1993 Prepared for the Department of Energy uncer contract number DE-AC03-76SF005 15 Printed in the United States of America. Available from the National Technical Information Service, U.S. Department of Commerce, 5285 Port Royal Road, Springfield, Virginia 22161. * Ph.D. thesis ii Abstract This thesis consists of two independent parts; development of Cherenkov Ring Imaging Detector (GRID) system and analysis of high-statistics data of strange meson reactions from the LASS spectrometer. Part I: The CIUD system is devoted to charged particle identification in the SLAC Large Detector (SLD) to study e+e- collisions at ,/Z = mzo. By measuring the angles of emission of the Cherenkov photons inside liquid and gaseous radiators, r/K/p separation will be achieved up to N 30 GeV/c. The signals from CRID are read in three coordinates, one of which is measured by charge-division technique. To obtain a N 1% spatial resolution in the charge- division, low-noise CRID preamplifier prototypes were developed and tested re- sulting in < 1000 electrons noise for an average photoelectron signal with 2 x lo5 gain. To help ensure the long-term stability of CRID operation at high efficiency, a comprehensive monitoring and control system was developed. This system contin- uously monitors and/or controls various operating quantities such as temperatures, pressures, and flows, mixing and purity of the various fluids. -
Lecture 2 - Energy and Momentum
Lecture 2 - Energy and Momentum E. Daw February 16, 2012 1 Energy In discussing energy in a relativistic course, we start by consid- ering the behaviour of energy in the three regimes we worked with last time. In the first regime, the particle velocity v is much less than c, or more precisely β < 0:3. In this regime, the rest energy ER that the particle has by virtue of its non{zero rest mass is much greater than the kinetic energy T which it has by virtue of its kinetic energy. The rest energy is given by Einstein's famous equation, 2 ER = m0c (1) So, here is an example. An electron has a rest mass of 0:511 MeV=c2. What is it's rest energy?. The important thing here is to realise that there is no need to insert a factor of (3×108)2 to convert from rest mass in MeV=c2 to rest energy in MeV. The units are such that 0.511 is already an energy in MeV, and to get to a mass you would need to divide by c2, so the rest mass is (0:511 MeV)=c2, and all that is left to do is remove the brackets. If you divide by 9 × 1016 the answer is indeed a mass, but the units are eV m−2s2, and I'm sure you will appreciate why these units are horrible. Enough said about that. Now, what about kinetic energy? In the non{relativistic regime β < 0:3, the kinetic energy is significantly smaller than the rest 1 energy. -
Monte Carlo Methods in Particle Physics Bryan Webber University of Cambridge IMPRS, Munich 19-23 November 2007
Monte Carlo Methods in Particle Physics Bryan Webber University of Cambridge IMPRS, Munich 19-23 November 2007 Monte Carlo Methods 3 Bryan Webber Structure of LHC Events 1. Hard process 2. Parton shower 3. Hadronization 4. Underlying event Monte Carlo Methods 3 Bryan Webber Lecture 3: Hadronization Partons are not physical 1. Phenomenological particles: they cannot models. freely propagate. 2. Confinement. Hadrons are. 3. The string model. 4. Preconfinement. Need a model of partons' 5. The cluster model. confinement into 6. Underlying event hadrons: hadronization. models. Monte Carlo Methods 3 Bryan Webber Phenomenological Models Experimentally, two jets: Flat rapidity plateau and limited Monte Carlo Methods 3 Bryan Webber Estimate of Hadronization Effects Using this model, can estimate hadronization correction to perturbative quantities. Jet energy and momentum: with mean transverse momentum. Estimate from Fermi motion Jet acquires non-perturbative mass: Large: ~ 10 GeV for 100 GeV jets. Monte Carlo Methods 3 Bryan Webber Independent Fragmentation Model (“Feynman—Field”) Direct implementation of the above. Longitudinal momentum distribution = arbitrary fragmentation function: parameterization of data. Transverse momentum distribution = Gaussian. Recursively apply Hook up remaining soft and Strongly frame dependent. No obvious relation with perturbative emission. Not infrared safe. Not a model of confinement. Monte Carlo Methods 3 Bryan Webber Confinement Asymptotic freedom: becomes increasingly QED-like at short distances. QED: + – but at long distances, gluon self-interaction makes field lines attract each other: QCD: linear potential confinement Monte Carlo Methods 3 Bryan Webber Interquark potential Can measure from or from lattice QCD: quarkonia spectra: String tension Monte Carlo Methods 3 Bryan Webber String Model of Mesons Light quarks connected by string. -
Deep Inelastic Scattering
Particle Physics Michaelmas Term 2011 Prof Mark Thomson e– p Handout 6 : Deep Inelastic Scattering Prof. M.A. Thomson Michaelmas 2011 176 e– p Elastic Scattering at Very High q2 ,At high q2 the Rosenbluth expression for elastic scattering becomes •From e– p elastic scattering, the proton magnetic form factor is at high q2 Phys. Rev. Lett. 23 (1969) 935 •Due to the finite proton size, elastic scattering M.Breidenbach et al., at high q2 is unlikely and inelastic reactions where the proton breaks up dominate. e– e– q p X Prof. M.A. Thomson Michaelmas 2011 177 Kinematics of Inelastic Scattering e– •For inelastic scattering the mass of the final state hadronic system is no longer the proton mass, M e– •The final state hadronic system must q contain at least one baryon which implies the final state invariant mass MX > M p X For inelastic scattering introduce four new kinematic variables: ,Define: Bjorken x (Lorentz Invariant) where •Here Note: in many text books W is often used in place of MX Proton intact hence inelastic elastic Prof. M.A. Thomson Michaelmas 2011 178 ,Define: e– (Lorentz Invariant) e– •In the Lab. Frame: q p X So y is the fractional energy loss of the incoming particle •In the C.o.M. Frame (neglecting the electron and proton masses): for ,Finally Define: (Lorentz Invariant) •In the Lab. Frame: is the energy lost by the incoming particle Prof. M.A. Thomson Michaelmas 2011 179 Relationships between Kinematic Variables •Can rewrite the new kinematic variables in terms of the squared centre-of-mass energy, s, for the electron-proton collision e– p Neglect mass of electron •For a fixed centre-of-mass energy, it can then be shown that the four kinematic variables are not independent. -
Particle Physics Dr Victoria Martin, Spring Semester 2012 Lecture 11: Mesons and Baryons
Particle Physics Dr Victoria Martin, Spring Semester 2012 Lecture 11: Mesons and Baryons !Measuring Jets !Fragmentation !Mesons and Baryons !Isospin and hypercharge !SU(3) flavour symmetry !Heavy Quark states 1 From Tuesday: Summary • In QCD, the coupling strength "S decreases at high momentum transfer (q2) increases at low momentum transfer. • Perturbation theory is only useful at high momentum transfer. • Non-perturbative techniques required at low momentum transfer. • At colliders, hard scatter produces quark, anti-quarks and gluons. • Fragmentation (hadronisation) describes how partons produced in hard scatter become final state hadrons. Need non-perturbative techniques. • Final state hadrons observed in experiments as jets. Measure jet pT, !, ! • Key measurement at lepton collider, evidence for NC=3 colours of quarks. + 2 σ(e e− hadrons) e R = → = N q σ(e+e µ+µ ) c e2 − → − • Next lecture: mesons and baryons! Griffiths chapter 5. 2 6 41. Plots of cross sections and related quantities + σ and R in e e− Collisions -2 10 ω φ J/ψ -3 10 ψ(2S) ρ Υ -4 ρ ! 10 Z -5 10 [mb] σ -6 R 10 -7 10 -8 10 2 1 10 10 Υ 3 10 J/ψ ψ(2S) Z 10 2 φ ω to theR Fermilab accelerator complex. In addition, both the CDF [11] and DØ detectors [12] 10 were upgraded. The resultsρ reported! here utilize an order of magnitude higher integrated luminosity1 than reported previously [5]. ρ -1 10 2 II. PERTURBATIVE1 QCD 10 10 √s [GeV] + + + + Figure 41.6: World data on the total cross section of e e− hadrons and the ratio R(s)=σ(e e− hadrons, s)/σ(e e− µ µ−,s). -
Fragmentation and Hadronization 1 Introduction
Fragmentation and Hadronization Bryan R. Webber Theory Division, CERN, 1211 Geneva 23, Switzerland, and Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE, U.K.1 1 Introduction Hadronic jets are amongst the most striking phenomena in high-energy physics, and their importance is sure to persist as searching for new physics at hadron colliders becomes the main activity in our field. Signatures involving jets almost always have the largest cross sections, but are the most difficult to interpret and to distinguish from background. Insight into the properties of jets is therefore doubly valuable: both as a test of our understanding of strong interaction dy- namics and as a tool for extracting new physics signals in multi-jet channels. In the present talk, I shall concentrate on jet fragmentation and hadroniza- tion, the topic of jet production having been covered admirably elsewhere [1, 2]. The terms fragmentation and hadronization are often used interchangeably, but I shall interpret the former strictly as referring to inclusive hadron spectra, for which factorization ‘theorems’2 are available. These allow predictions to be made without any detailed assumptions concerning hadron formation. A brief review of the relevant theory is given in Section 2. Hadronization, on the other hand, will be taken here to refer specifically to the mechanism by which quarks and gluons produced in hard processes form the hadrons that are observed in the final state. This is an intrinsically non- perturbative process, for which we only have models at present. The main models are reviewed in Section 3. In Section 4 their predictions, together with other less model-dependent expectations, are compared with the latest data on single- particle yields and spectra.