DOCSLIB.ORG

Heavy P-Wave Quarkonium Production Via Higgs Decays

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
Heavy P-Wave Quarkonium Production Via Higgs Decays PHYSICAL REVIEW D 98, 036014 (2018) Heavy P-wave quarkonium production via Higgs decays † ‡ Qi-Li Liao,1,* Ya Deng,1, Yan Yu, 1, Guang-Chuan Wang,1 and Guo-Ya Xie2 1College of Mobile Telecommunications Chongqing University of Posts and Telecom, Chongqing 401520, People’s Republic of China 2Chongqing University of Posts and Telecom, Chongqing 400065, People’s Republic of China (Received 6 July 2018; published 21 August 2018) The production of the heavy quarkonium, i.e., jðcb¯Þ½ni (or jðbc¯Þ½ni), jðcc¯Þ½ni, and jðbb¯Þ½ni- ¯ 0 0 quarkonium [jðQQ Þ½ni-quarkonium for short], through Higgs H boson semiexclusive decays is evaluated within the nonrelativistic quantum chromodynamics (NRQCD) framework, where [n] stands ¯ 0 1 ¯ 0 3 for the production of the two color-singlet S-wave states, jðQQ Þ½ S01i and jðQQ Þ½ S11i, the production ¯ 0 1 ¯ 0 3 of the four color-singlet P-wave states, i.e., jðQQ Þ½ P01i, jðQQ Þ½ PJ1i (with J ¼½0; 1; 2). Moreover, according to the velocity scaling rule of the NRQCD, the production of the two color-octet components, ¯ 0 1 ¯ 0 3 jðQQ Þg½ S08i and jðQQ Þg½ S18i, are also taken into account. The “improved trace technology” to derive the simplified analytic expressions at the amplitude level is adopted, which shall be useful for dealing with these decay channels. If all higher heavy quarkonium states decay completely to the ground states, 0 ¯ 1 0 1 it should be obtained ΓðH → jðcbÞ½ S01iÞ ¼ 15.14 KeV, ΓðH → jðcc¯Þ½ S01iÞ ¼ 1.547 KeV, and 0 ¯ 1 5 4 ΓðH → jðbbÞ½ S01iÞ ¼ 1.311 KeV. The production of 5.6 × 10 Bc meson, 4.7 × 10 charmonium meson, and 4.9 × 104 bottomonium meson per year in Higgs decays at the HE/HL-LHC can be obtained. DOI: 10.1103/PhysRevD.98.036014 I. INTRODUCTION eþe− → H0Z0 and the WþW− fusion process eþe− → ν ν¯ 0 Since the Higgs boson of the standard model (SM) has e eH . The cross section for the Higgs-strahlungpffiffiffi process is dominant at the low energy. For s ¼ 500 GeV, the been found by CMS [1] and ATLAS [2] at the Large Hadron þ − Collider (LHC) in July 2012. The lots of experimental cross section for the W W fusion is dominant. The cross 0 0 þ − → þ − 0 results and review papers on the Higgs boson production and section for the Z Z fusion process e e e e H increases significantly with the center-of-mass (c.m.) decay were obtained by the CMS and ATLAS at the LHC 0 0 [3–5]. With the growingly accumulated date, the properties energy increasing,pffiffiffi and can exceeds that of Z H production of a new particle are consistent with those of Higgs boson around s ¼ 1 TeV. These processes can be well used to predicted by SM [6,7]. Though the LHC offers obvious test the Higgs-gauge couplings. The Higgs self-coupling advantages in proving very high energy and very large rates can be studied through the double Higgs boson production þ − → 0 0 0 þ − → ν ν¯ 0 0 in typical reactions, the measuring precision will be processes e e Z H H and e e e eH H at the restricted due to the complicated background. ILC. The absolute values of the Higgs coupling to bosons, The most precise measurements will be performed in the gluons and heavy fermions can also be measured. When clean environment of the future electron-positron collider updated to the Super Proton-Proton Collider (SPPC), for the proposed Higgs factory, like the International Linear researchers can even measure the Higgs self-coupling, Collider (ILC) [8] and the Circular Electron-Positron which is regarded as the holy grail of experimental particle Collider (CEPC) [9]. It is well known that the main physics high luminosity/energy (HL/HE-LHC) scenarios production processes of the Higgs boson in electron- are designed forpffiffiffi the LHC [10,11]. Running at center-of- positron collider collisions are the Higgs-strahlung process mass energy s ¼ 14 TeV, cross-section of the Higgs boson production at the LHC is about 55 pb (gluon-gluon * fusion process dominates). Given that the integrated lumi- [email protected] −1 8 † 1 65 10 [email protected] nosity is 3 ab , the HL-LHC would produce . × ‡ [email protected] pHiggsffiffiffi events [11]. While at the HE-LHC who runs at s ¼ 33 TeV, the cross-section of the Higgs boson pro- Published by the American Physical Society under the terms of duction would be about 200 pb, hence the Higgs boson the Creative Commons Attribution 4.0 International license. 6 0 108 Further distribution of this work must maintain attribution to events per year can be obtained . × . the author(s) and the published article’s title, journal citation, With the above mentioned excellent platforms, rare and DOI. Funded by SCOAP3. Higgs boson decay processes, like the heavy quarkonium 2470-0010=2018=98(3)=036014(9) 036014-1 Published by the American Physical Society LIAO, DENG, YU, WANG, and XIE PHYS. REV. D 98, 036014 (2018) 1 3 1 3 production in the Higgs boson decays, might be observed for NRQCD, where [n] stands for 1 S0, 1 S1, 1 P0, n PJ the first time. Pioneer investigation on the search of H0 → (J ¼½0; 1; 2). To deal with heavy quarkonium production J=Ψγ and H0 → ϒðnSÞγ has been carried out by ATLAS through H0 semiexclusive decays, one needs to derive the [12]. Theoretically, some related calculations have been pQCD calculable squared amplitudes. But the analytical done [13–17]. Within the nonrelativistic quantum chromo- expression for the usual squared amplitude jΣj2 becomes dynamics (NRQCD) formulism [18] and light-cone meth- too complex and lengthy for more (massive) particles in the ods [19], both direct and indirect production mechanism and final states and for higher-level Fock states to be generated relativistic corrections to H0 → J=Ψγ and H0 → ϒðnSÞγ for the emergence of massive-fermion lines in the Feynman à are studied [16]. In Ref. [20], the Bc (Bc) meson production diagrams, especially to derive the amplitudes of the via Higgs boson decays under the NRQCD [18] is system- P-wave states. To solve the problem, the “improved trace atic investigated. Where both the quantum chromodynamics technology” is suggested and developed in the literature (QCD) and the quantum electrodynamics (QED) contribu- [37–43]; it deals with the process directly at the amplitude à tions are included. It is found that the production of Bc (Bc) level. We will continue to adopt improved trace technology meson through the QED contributions is very smaller to derive the analytical expression for all the above- Γð 0 → jð ¯Þ½ i þ ¯ Þ mentioned decay channels. than through the QCD, e.g., H bc n bc QED= 0 −5 The rest of the paper is organized as follows. We ΓðH → jðbc¯Þ½ni þ bc¯ Þ ∼ 10 . In comparison with QCD introduce the calculation techniques for the H0 boson the QCD one, QED contribution is negligible for production ¯ 0 semiexclusive decays to jðQQ Þ½ni-quarkonium within the heavy quarkonium through the Higgs boson decays. So it the NRQCD formulism in Sec. II. In Sec. III, we calculate is only studied the QCD contribution for the Higgs boson the production of jðcb¯Þ½ni (or jðbc¯Þ½ni), jðcc¯Þ½ni, and decays production the heavy quarkonium in this paper. jð ¯Þ½ i 0 The LHCb, ATLAS, and CMS Collaboration experi- bb n -quarkonium through H decay channels, i.e., H0 → jðcb¯Þ½ni þ cb¯ , H0 → jðcc¯Þ½ni þ cc¯ , and H0 → ments have published studies of the Bc meson production ¯ ¯ and of the double J=Ψ production [12,21,22]. Since its jðbbÞ½ni þ bb, with new parameters [37] for the jð ¯ 0Þ½ i discovery by the CDF Collaboration [23], the Bc meson QQ n -quarkonium, an estimation of events at the being the unique “doubly heavy-flavored” meson in the SM HL/HE-LHC. Then we make some discussions on has aroused great interest. The direct hadronic production the theoretical uncertainties of the decays widths by the jð ¯Þ½ i of the Bc meson has been studied systematically in masses of the cb n -quarkonium. The final section is Refs. [24–29]. Therefore, investigation of the heavy quar- reserved for a summary. konium production through H0 decays is worthwhile and meaningful. The heavy quarkonium is presumed to be a II. CALCULATION TECHNIQUES nonrelativistic bound state of the heavy quark and anti- AND FORMULATION quark. The study of the heavy quarkonium, e.g., jðbc¯Þ½ni The H0 boson decays semiexclusive processes for the (or jðcb¯Þ½ni), jðcc¯Þ½ni, and jðbb¯Þ½ni-quarkonium, can heavy quarkonium production can be analogous dealt with, help us to achieve a deeper understanding of the QCD in 0 → jð ¯Þ½ i þ ¯ 0 → jð ¯Þ½ i þ ¯ 0 → both the perturbative and nonperturbative sectors. A very i.e., H cb n cb (or H bc n bc), H jð ¯Þ½ i þ ¯ 0 → jð ¯Þ½ i þ ¯ practical theoretical tool to deal with the processes involv- cc n cc, and H bb n bb. According to the ing heavy quarkonium is the NRQCD [18], in which the NRQCD factorization formula [18], the square of the low-energy interactions are organized by the expansion in semiexclusive amplitude can be written as the production v, where v stands for the typical relative velocity of the of the perturbatively calculable short-distance coefficients heavy quark and antiquark inside of the heavy quarkonium.
Load more

Recommended publications
  • Effective Field Theories for Quarkonium
    Effective Field Theories for Quarkonium recent progress Antonio Vairo Technische Universitat¨ Munchen¨ Outline 1. Scales and EFTs for quarkonium at zero and finite temperature 2.1 Static energy at zero temperature 2.2 Charmonium radiative transitions 2.3 Bottomoniun thermal width 3. Conclusions Scales and EFTs Scales Quarkonia, i.e. heavy quark-antiquark bound states, are systems characterized by hierarchies of energy scales. These hierarchies allow systematic studies. They follow from the quark mass M being the largest scale in the system: • M ≫ p • M ≫ ΛQCD • M ≫ T ≫ other thermal scales The non-relativistic expansion • M ≫ p implies that quarkonia are non-relativistic and characterized by the hierarchy of scales typical of a non-relativistic bound state: M ≫ p ∼ 1/r ∼ Mv ≫ E ∼ Mv2 The hierarchy of non-relativistic scales makes the very difference of quarkonia with heavy-light mesons, which are just characterized by the two scales M and ΛQCD. Systematic expansions in the small heavy-quark velocity v may be implemented at the Lagrangian level by constructing suitable effective field theories (EFTs). ◦ Brambilla Pineda Soto Vairo RMP 77 (2004) 1423 Non-relativistic Effective Field Theories LONG−RANGE SHORT−RANGE Caswell Lepage PLB 167(86)437 QUARKONIUM QUARKONIUM / QED ◦ ◦ Lepage Thacker NP PS 4(88)199 QCD/QED ◦ Bodwin et al PRD 51(95)1125, ... M perturbative matching perturbative matching ◦ Pineda Soto PLB 420(98)391 µ ◦ Pineda Soto NP PS 64(98)428 ◦ Brambilla et al PRD 60(99)091502 Mv NRQCD/NRQED ◦ Brambilla et al NPB 566(00)275 ◦ Kniehl et al NPB 563(99)200 µ ◦ Luke Manohar PRD 55(97)4129 ◦ Luke Savage PRD 57(98)413 2 non−perturbative perturbative matching Mv matching ◦ Grinstein Rothstein PRD 57(98)78 ◦ Labelle PRD 58(98)093013 ◦ Griesshammer NPB 579(00)313 pNRQCD/pNRQED ◦ Luke et al PRD 61(00)074025 ◦ Hoang Stewart PRD 67(03)114020, ..
    [Show full text]
  • Quarkonium Interactions in QCD1
    CERN-TH/95-342 BI-TP 95/41 Quarkonium Interactions in QCD1 D. KHARZEEV Theory Division, CERN, CH-1211 Geneva, Switzerland and Fakult¨at f¨ur Physik, Universit¨at Bielefeld, D-33501 Bielefeld, Germany CONTENTS 1. Introduction 1.1 Preview 1.2 QCD atoms in external fields 2. Operator Product Expansion for Quarkonium Interactions 2.1 General idea 2.2 Wilson coefficients 2.3 Sum rules 2.4 Absorption cross sections 3. Scale Anomaly, Chiral Symmetry and Low-Energy Theorems 3.1 Scale anomaly and quarkonium interactions 3.2 Low energy theorem for quarkonium interactions with pions 3.3 The phase of the scattering amplitude 4. Quarkonium Interactions in Matter 4.1 Nuclear matter 4.2 Hadron gas 4.3 Deconfined matter 5. Conclusions and Outlook 1Presented at the Enrico Fermi International School of Physics on “Selected Topics in Non-Perturbative QCD”, Varenna, Italy, June 1995; to appear in the Proceedings. 1 Introduction 1.1 Preview Heavy quarkonia have proved to be extremely useful for understanding QCD. The large mass of heavy quarks allows a perturbation theory analysis of quarkonium decays [1] (see [2] for a recent review). Perturbation theory also provides a rea- sonable first approximation to the correlation functions of quarkonium currents; deviations from the predictions of perturbation theory can therefore be used to infer an information about the nature of non-perturbative effects. This program was first realized at the end of the seventies [3]; it turned out to be one of the first steps towards a quantitative understanding of the QCD vacuum. The natural next step is to use heavy quarkonia to probe the properties of excited QCD vacuum, which may be produced in relativistic heavy ion collisions; this was proposed a decade ago [4].
    [Show full text]
  • Understanding the J/Psi Production Mechanism at PHENIX Todd Kempel Iowa State University
    Iowa State University Capstones, Theses and Graduate Theses and Dissertations Dissertations 2010 Understanding the J/psi Production Mechanism at PHENIX Todd Kempel Iowa State University Follow this and additional works at: https://lib.dr.iastate.edu/etd Part of the Physics Commons Recommended Citation Kempel, Todd, "Understanding the J/psi Production Mechanism at PHENIX" (2010). Graduate Theses and Dissertations. 11649. https://lib.dr.iastate.edu/etd/11649 This Dissertation is brought to you for free and open access by the Iowa State University Capstones, Theses and Dissertations at Iowa State University Digital Repository. It has been accepted for inclusion in Graduate Theses and Dissertations by an authorized administrator of Iowa State University Digital Repository. For more information, please contact [email protected]. Understanding the J= Production Mechanism at PHENIX by Todd Kempel A dissertation submitted to the graduate faculty in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY Major: Nuclear Physics Program of Study Committee: John G. Lajoie, Major Professor Kevin L De Laplante S¨orenA. Prell J¨orgSchmalian Kirill Tuchin Iowa State University Ames, Iowa 2010 Copyright c Todd Kempel, 2010. All rights reserved. ii TABLE OF CONTENTS LIST OF TABLES . v LIST OF FIGURES . vii CHAPTER 1. Overview . 1 CHAPTER 2. Quantum Chromodynamics . 3 2.1 The Standard Model . 3 2.2 Quarks and Gluons . 5 2.3 Asymptotic Freedom and Confinement . 6 CHAPTER 3. The Proton . 8 3.1 Cross-Sections and Luminosities . 8 3.2 Deep-Inelastic Scattering . 10 3.3 Structure Functions and Bjorken Scaling . 12 3.4 Altarelli-Parisi Evolution .
    [Show full text]
  • Strange Hadrocharmonium ∗ M.B
    Physics Letters B 798 (2019) 135022 Contents lists available at ScienceDirect Physics Letters B www.elsevier.com/locate/physletb Strange hadrocharmonium ∗ M.B. Voloshin a,b,c, a William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, MN 55455, USA b School of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455, USA c Institute of Theoretical and Experimental Physics, Moscow, 117218, Russia a r t i c l e i n f o a b s t r a c t Article history: It has been recently suggested that the charged charmoniumlike resonances Zc (4100) and Zc (4200) Received 23 May 2019 are two states of hadrocharmonium, related by the charm quark spin symmetry in the same way Received in revised form 12 August 2019 as the lowest charmonium states ηc and J/ψ. It is pointed out here that in this picture one might Accepted 16 September 2019 expect existence of their somewhat heavier strange counterparts, Zcs, decaying to ηc K and J/ψ K . Some Available online 11 October 2019 expected properties of such charmoniumlike strange resonances are discussed that set benchmarks for Editor: B. Grinstein their search in the decays of the strange Bs mesons. © 2019 The Author. Published by Elsevier B.V. This is an open access article under the CC BY license 3 (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP . Numerous new resonances recently uncovered near the open down to about 4220 MeV), has been recently invoked [11]for de- charm and open bottom thresholds, the so-called XYZ states, ap- scription of the charged charmoniumlike resonances Zc(4100) and parently do not fit in the standard quark-antiquark template and Zc(4200) observed respectively in the decay channels ηcπ [12] 1 contain light constituents in addition to a heavy quark-antiquark and J/ψπ [13].
    [Show full text]
  • Effective Field Theories of Heavy-Quark Mesons
    Effective Field Theories of Heavy-Quark Mesons A thesis submitted to The University of Manchester for the degree of Doctor of Philosophy (PhD) in the faculty of Engineering and Physical Sciences Mohammad Hasan M Alhakami School of Physics and Astronomy 2014 Contents Abstract 10 Declaration 12 Copyright 13 Acknowledgements 14 1 Introduction 16 1.1 Ordinary Mesons......................... 21 1.1.1 Light Mesons....................... 22 1.1.2 Heavy-light Mesons.................... 24 1.1.3 Heavy-Quark Mesons................... 28 1.2 Exotic cc¯ Mesons......................... 31 1.2.1 Experimental and theoretical studies of the X(3872). 34 2 From QCD to Effective Theories 41 2.1 Chiral Symmetry......................... 43 2.1.1 Chiral Symmetry Breaking................ 46 2.1.2 Effective Field Theory.................. 57 2.2 Heavy Quark Spin Symmetry.................. 65 2.2.1 Motivation......................... 65 2.2.2 Heavy Quark Effective Theory.............. 69 3 Heavy Hadron Chiral Perturbation Theory 72 3.1 Self-Energies of Charm Mesons................. 78 3.2 Mass formula for non-strange charm mesons.......... 89 3.2.1 Extracting the coupling constant of even and odd charm meson transitions..................... 92 2 4 HHChPT for Charm and Bottom Mesons 98 4.1 LECs from Charm Meson Spectrum............... 99 4.2 Masses of the charm mesons within HHChPT......... 101 4.3 Linear combinations of the low energy constants........ 106 4.4 Results and Discussion...................... 108 4.5 Prediction for the Spectrum of Odd- and Even-Parity Bottom Mesons............................... 115 5 Short-range interactions between heavy mesons in frame- work of EFT 126 5.1 Uncoupled Channel........................ 127 5.2 Two-body scattering with a narrow resonance........
    [Show full text]
  • Angular Decay Coefficients of J/Psi Mesons at Forward Rapidity from P Plus P Collisions at Square Root =510 Gev
    BNL-113789-2017-JA Angular decay coefficients of J/psi mesons at forward rapidity from p plus p collisions at square root =510 GeV PHENIX Collaboration Submitted to Physical Review D April 13, 2017 Physics Department Brookhaven National Laboratory U.S. Department of Energy USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26) Notice: This manuscript has been authored by employees of Brookhaven Science Associates, LLC under Contract No. DE- SC0012704 with the U.S. Department of Energy. The publisher by accepting the manuscript for publication acknowledges that the United States Government retains a non-exclusive, paid-up, irrevocable, world-wide license to publish or reproduce the published form of this manuscript, or allow others to do so, for United States Government purposes. DISCLAIMER This report was prepared as an account of work sponsored by an agency of the United States Government. Neither the United States Government nor any agency thereof, nor any of their employees, nor any of their contractors, subcontractors, or their employees, makes any warranty, express or implied, or assumes any legal liability or responsibility for the accuracy, completeness, or any third party’s use or the results of such use of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights. Reference herein to any specific commercial product, process, or service by trade name, trademark, manufacturer, or otherwise, does not necessarily constitute or imply its endorsement, recommendation, or favoring by the United States Government or any agency thereof or its contractors or subcontractors. The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States Government or any agency thereof.
    [Show full text]
  • Two-Loop Correction to the Leptonic Decay of Quarkonium
    CERN-TH/97-353 hep-ph/9712302 December 1997 Two-lo op Correction to the Leptonic Decay of Quarkonium M. Beneke and A. Signer Theory Division, CERN, CH-1211 Geneva 23 and V.A. Smirnov Nuclear Physics Institute, Moscow State University, 119889 Moscow, Russia Abstract Applying asymptotic expansions at threshold, we compute the two-lo op QCD cor- + rection to the short-distance co ecient that governs the leptonic decay ! l l of a S -wave quarkonium state and discuss its impact on the relation b etween the quarkonium non-relativistic wave function at the origin and the quarkonium decay constant in full QCD. PACS Nos.: 13.20.Gd, 12.38.Bx Quarkonium decays played an imp ortant role in establishing Quantum Chromo dynamics (QCD) as a weakly interacting theory at short distances. Calculations of heavy quarko- nium decays usually pro ceed under the assumption that the heavy quark-antiquark b ound state is non-relativistic and that the decay amplitude factorizes into the b ound state wave function at the origin and a short-distance quark-antiquark annihilation am- plitude. One can then explain the small width of the S -wave spin-triplet charmonium state J= , b ecause it can decay only through electro-magnetic annihilation or annihila- tion into at least three gluons [1]. Today's understanding of quarkonium b ound states has re ned this picture and allows us to calculate relativistic corrections systematically at the exp ense of intro ducing further non-p erturbative parameters that characterize the b ound state. Such calculations can be done most transparently in the framework of a non-relativistic e ective eld theory (NRQCD) [2,3] that implements the factoriza- tion of contributions to the (partial) decay widths from di erent length scales.
    [Show full text]
  • Thesis, We Take Σψ Directly from Experimental Data
    QUARKONIUM TRANSPORT THEORY IN ULTRA-RELATIVISTIC HEAVY-ION COLLISIONS A Dissertation by XIAOJIAN DU Submitted to the Office of Graduate and Professional Studies of Texas A&M University in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY Chair of Committee, Ralf Rapp Committee Members, Siu Ah Chin Che-Ming Ko Saskia Mioduszewski Frank Sottile Head of Department, Grigory Rogachev August 2019 Major Subject: Physics Copyright 2019 Xiaojian Du ABSTRACT The study of the fundamental strong interaction is an important vehicle for advancing our understanding of nuclear physics. Quarkonia, bound states of heavy quark-antiquark pairs, are promising probes for studying the strong force, in particular its confining prop- erty which constrains quarks and gluons to hadrons. Ultrarelativistic heavy-ion collisions (URHICs) are the only experimental method that can screen the strong force by creating a hot and dense medium. The suppression of quarkonia observed in URHICs is believed to be due to the formation of a deconfined quark-gluon plasma (QGP), a medium with un- bound quarks and gluons. In order to study this phenomenon, we utilize a transport model to describe the evolution of quarkonium states in URHICs. This model calculates the sup- pression of heavy quarkonia, as well as recombination of heavy quark-antiquark pairs, in the medium. For charmonium, in particular, the recombination is essential for describing the momentum and energy dependencies of their spectra. Based on the fact that different binding energies lead to different dissociation temperatures, a “sequential regeneration” of excited and ground-state charmonia is proposed and implemented to compare to experi- mental data in nuclear collisions.
    [Show full text]
  • How to Make Sense of the XYZ Mesons from QCD
    How to Make Sense of the XYZ Mesons from QCD Eric Braaten Ohio State University arXiv:1401.7351, arXiv:1402.0438 (with C. Langmack and D. H. Smith) supported by Department of Energy How to Make Sense of the XYZ Mesons from QCD (using the Born-Oppenheimer Approximation) ● constituent models for XYZ mesons ● Born-Oppenheimer_ approximation for QQ_ hybrid mesons Juge, Kuti, Morningstsar for QQ tetraquark mesons ● hadronic transitions of XYZ mesons XYZ Mesons _ _ ● more than 2 dozen new cc and bb mesons discovered since 2003 ● seem to require additional constituents ● some of them are tetraquark mesons ● many of them are surprisingly narrow ● a major challenge to our understanding of the QCD spectrum! Models for XYZ Mesons three basic categories _ ● conventional quarkonium QQ _ ● Q Q quarkonium hybrid g _ Q q_ ● quarkonium tetraquark q Q Models for XYZ Mesons Quarkonium Tetraquarks _ Q q ● compact tetraquark _ q Q _ _ ● meson molecule Qq qQ _ _ ● diquark-onium Qq qQ q _ ● hadro-quarkonium QQ_ q q _ ● quarkonium adjoint meson QQ_ q Models for XYZ Mesons ● little connection with fundamental theory QCD constituents: degrees of freedom from QCD interactions: purely phenomenological ● some success in describing individual XYZ mesons ● no success in describing pattern of XYZ mesons Models for XYZ Mesons Approaches within QCD fundamental fields: quarks and gluons parameters: αs, quark masses ● Lattice QCD Prelovsek, Leskovec, Mohler, … ● QCD Sum Rules? ● Born-Oppenheimer approximation _ Born-Oppenheimer Approximation for Quarkonium Hybrids ● pioneered
    [Show full text]
  • Pentaquark and Tetraquark States Arxiv:1903.11976V2 [Hep-Ph]
    Pentaquark and Tetraquark states 1 2 3 4;5 6;7;8 Yan-Rui Liu, ∗ Hua-Xing Chen, ∗ Wei Chen, ∗ Xiang Liu, y Shi-Lin Zhu z 1School of Physics, Shandong University, Jinan 250100, China 2School of Physics, Beihang University, Beijing 100191, China 3School of Physics, Sun Yat-Sen University, Guangzhou 510275, China 4School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, China 5Research Center for Hadron and CSR Physics, Lanzhou University and Institute of Modern Physics of CAS, Lanzhou 730000, China 6School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China 7Collaborative Innovation Center of Quantum Matter, Beijing 100871, China 8Center of High Energy Physics, Peking University, Beijing 100871, China April 2, 2019 Abstract The past seventeen years have witnessed tremendous progress on the experimental and theo- retical explorations of the multiquark states. The hidden-charm and hidden-bottom multiquark systems were reviewed extensively in Ref. [1]. In this article, we shall update the experimental and theoretical efforts on the hidden heavy flavor multiquark systems in the past three years. Espe- cially the LHCb collaboration not only confirmed the existence of the hidden-charm pentaquarks but also provided strong evidence of the molecular picture. Besides the well-known XYZ and Pc states, we shall discuss more interesting tetraquark and pentaquark systems either with one, two, three or even four heavy quarks. Some very intriguing states include the fully heavy exotic arXiv:1903.11976v2 [hep-ph] 1 Apr 2019 tetraquark states QQQ¯Q¯ and doubly heavy tetraquark states QQq¯q¯, where Q is a heavy quark.
    [Show full text]
  • G. A. Kozlov on Leptonic Decay of a Heavy Quarkonium with a Higgs-Boson Emission
    ¨¸Ó³ ¢ —Ÿ. 2009. ’. 6, º 1(150). ‘. 37Ä40 ”ˆ‡ˆŠ ‹…Œ…’›• —‘’ˆ– ˆ ’Œƒ Ÿ„. ’…ˆŸ ON LEPTONIC DECAY OF A HEAVY QUARKONIUM WITH A HIGGS-BOSON EMISSION G. A. Kozlov Joint Institute for Nuclear Research, Dubna A leptonic (¯ll) decay of a heavy quarkÄantiquark bound state T (QQ¯ ) with a Higgs-boson H emission is investigated. The applying of the low-energy theorem to mesonÄHiggs coupling allows one to estimate the probability of the decay T (QQ¯ ) → llH¯ . Only a simple version of the Standard Model extension containing two-Higgs doublet is considered. ‚ · ¡μÉ¥ ¨¸¸²¥¤Ê¥É¸Ö ²¥¶Éμ´´Ò° (¯ll) · ¸¶ ¤ ÉÖ¦¥²μ£μ ±¢ ·±- ´É¨±¢ ·±μ¢μ£μ ¸¢Ö§ ´´μ£μ ¸μ¸Éμ- Ö´¨Ö T (QQ¯ ) ¸ Ô³¨¸¸¨¥° ¡μ§μ´ •¨££¸ H. ·¨³¥´¥´¨¥ ´¨§±μÔ´¥·£¥É¨Î¥¸±μ° É¥μ·¥³Ò ± ±μ´¸É ´É¥ ¸¢Ö§¨ ±¢ ·±μ´¨Ö ¸ ̨££¸μ¢¸±¨³ ¡μ§μ´μ³ ¶μ§¢μ²Ö¥É ¢Ò¶μ²´¨ÉÓ μÍ¥´±Ê · ¸¶ ¤ T (QQ¯ ) → llH¯ .‚ ¸É ÉÓ¥ · ¸¸³ É·¨¢ ¥É¸Ö ²¨ÏÓ ¶·μ¸É Ö ¢¥·¸¨Ö · ¸Ï¨·¥´¨Ö ‘É ´¤ ·É´μ° ³μ¤¥²¨, ¸μ¤¥·¦ Ð Ö ¤¢ÊÌ- ̨££¸μ¢¸±¨° ¤Ê¡²¥É. PACS: 11.10.St, 12.60.Fr It is well known that some extensions of the Standard Model (SM) admit the existence of new physical bound states (hadrons), composed of heavy quarks and antiquarks including the 4th generation quarks (Q4) [1]. The question of the existence of 4th generation fermions (f4) is among the most important, intriguing and not solved yet ones in the modern elementary particle physics. We know that, e. g., the heterotic string phenomenology in E6 model leads to the 4th generation of leptons (l4)andQ4 with a relatively stable massive neutrino of 4th generation (ν4) [2].
    [Show full text]
  • Theoretical Interpretation of the XYZ Mesons
    Theoretical Interpretation of the XYZ Mesons Eric Braaten Ohio State University 1 Theoretical Interpretation of the XYZ Mesons Introduction New results on XYZ states ... ... from hadron collider experiments Sebastien Neubert ... from e+e− collider experiments Changzheng Yuan 2 Theoretical Interpretation of the XYZ Mesons Outline Models for XYZ Mesons quarkonium quarkonium hybrids quarkonium tetraquarks QCD Theory Lattice QCD Lattice NRQCD Born-Oppenheimer approximation 3 _ Discovery of Tetraquark bb Mesons! + + Zb (10610), Zb (10650) Belle 2011 + + both decay into Υ(nS) π and hb(nP)_ π _ ⟹ constituents are b b u d 120 ) (e) 2 100 80 Zb 60 Zb′ 40 20 (Events/4 MeV/c 0 10.58 10.62 10.66 10.70 10.74 2 M(Y(3S))max, (GeV/c ) 4 _ Discovery of Tetraquark cc Mesons! + Zc (3900) BESIII April_ _2013 decays into J/ψ π+ ⟹ constituents are c c u d Data 100 2 Zc Total fit Background fit 80 PHSP MC Sideband 60 40 20 Events / 0.01 GeV/c 0 3.7 3.8 3.9 4.0 ± 2 Mmax( J/) (GeV/c ) + Zc (4020) BESIII June 2013_ _ + decays into hc(nP) π ⟹ constituents are c c u d 5 _ _ New cc Mesons above DD threshold TABLE I: State M (MeV) Γ(MeV) J PC Decay modes 1st observation neutral cc¯ mesons X(3823) 3823.1 1.9 < 24 ?? χ γ Belle 2013 ± − c1 X(3872) 3871.68 0.17 < 1.21++ J/ ⇡+⇡ , J/ ⇡+⇡ ⇡0 Belle 2003 ± − − D0D¯ 0⇡0, D0D¯ 0γ J/ γ, (2S) γ X(3915) 3917.5 1.9 20 50++ J/ !, γγ Belle 2004 ± ± χ (2P ) 3927.2 2.6 24 62++ DD¯, γγ Belle 2005 c2 ± ± +9 +27 ?+ ¯ X(3940) 3942 8 37 17 ? D⇤D Belle 2007 − − G(3900) 3943 21 52 11 1 DD¯ BABAR 2007 ± ± −− 15 neutral +121 + Y (4008) 4008 49
    [Show full text]