introduction g 2
play

Introduction g -2 ): A particle with spin has a magnetic moment ( - PowerPoint PPT Presentation

Nov 30, 2023 โ€ข277 likes โ€ข551 views

FERMILAB-SLIDES-18-043-PPD Electric Field Effect s s on th e e Muon Anomalou s s Precession n - 2 Frequency i n n the Fermila b b Muo n 2 Experiment Wanwei Wu Department of Physics and Astronomy University of Mississippi (on behalf of the

  1. FERMILAB-SLIDES-18-043-PPD Electric Field Effect s s on th e e Muon Anomalou s s Precession n ๐’‰ - 2 Frequency i n n the Fermila b b Muo n 2 Experiment Wanwei Wu Department of Physics and Astronomy University of Mississippi (on behalf of the Muon ๐‘• -2 Collaboration) APS April Meeting, Columbus, OH Session X08, Tuesday, April 17, 2018 This document was prepared by [Muon g-2 Collaboration] using the resources of the Fermi National Accelerator Laboratory (Fermilab), a U.S. Department of Energy, Office of Science, HEP User Facility. Fermilab is managed by Fermi Research Alliance, LLC (FRA), acting under Contract No. DE-AC02-07CH11359

  2. Introduction g -2 โƒ‘ ): A particle with spin has a magnetic moment ( ๐œˆ โƒ— ) aligned with its spin ( ๐‘‡ โƒ— = ๐‘• ๐‘Ÿ โƒ— ๐œˆ 2๐‘› ๐‘‡ Dirac, 1928 Dirac Theory predicts that ๐‘• = 2. However, experiments showed that ๐‘• โ‰  2. /01 Anomalous Magnetic Dipole Moment: ๐‘ = 1 . Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 2

  3. Introduction g -2: Standard Model (SM) QED : Dirac term Vacuum polarization Schwinger term EW : Hadron : 567 + ๐‘ 2 34 = ๐‘ 2 69 + ๐‘ 2 :;< = 116591828(50)ร—10 0FF ๐‘ 2 Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 3

  4. Introduction g -2: New Physics (Beyond the SM) ๐‘ 2 represents a sum New Physics over all physics, it is proportional to: sensitive to a wide range of potential new physics. SM: 116591828(50)ร—10 0FF ~3.3๐œ BNL ๐‘• -2: 116592080(63) HIH ร—10 0FF Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 4

  5. Fermilab Muon g-2 Experiment Big Picture! Spin rotation of a muon in a magnetic field โ€ข Spin precession frequency โ€ข Cyclotron rotation frequency Muon anomalous precession frequency: Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 5

  6. Fermilab Muon g-2 Experiment Big Picture! Weak focusing muon storage ringโ€” Electrostatic quadrupoles provide vertical focusing Super conducting coil +27.2 kV -27.2 kV -27.2 kV +27.2 kV Super conducting coil Super conducting coil Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 6

  7. Fermilab Muon g-2 Experiment Big Picture! Electrostatic focusing โ€ข Cyclotron rotation frequency โ€ข Spin precession frequency Muon anomalous precession frequency: Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 7

  8. Fermilab Muon g-2 Experiment Big Picture! โƒ— M ๐ถ = 0 , the second term vanishes. Assuming ๐›พ - By choosing ๐›ฟ = 29.3 , the third term vanishes. The corresponding - momentum (3.904 GeV/c)/radius (711.2 cm) is then called โ€œmagicโ€ momentum/radius. ๐‘Ÿ ๐œ• ; = ๐œ• 3 โˆ’ ๐œ• R = ๐‘ 2 ๐‘› ๐ถ We measure ๐œ• ; by using the decay positron signals and measure ๐ถ - 12 T U by observing the Larmor frequency of stationary protons ( ๐œ• S = โ„ ) with NMR probes. For our final analysis, we can solve for ๐‘ 2 and rewrite it as (using - ๐œˆ W = ๐‘• W ๐‘“โ„/4๐‘› W ) : ๐œˆ S ๐‘› 2 ๐‘ 2 = ๐œ• ; ๐‘• W ๐œ• S ๐œˆ W ๐‘› W 2 Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 8

  9. Electric Field Electrostatic Quadrupole System if electrostatic quadrupole (ESQ) plates misaligned ESQ plates introduce E-field multipoles closed-orbit distortion muon loss โƒ— M ๐ถ ) corrections shifts in E-field and pitch ( ๐›พ โ€ฆโ€ฆ Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 9

  10. Electric Field OPERA-3D: 3-Dimension Map Electric Potential at the end of plates (zone map) V=27.2kV, from Downstream theta=0ยฐ Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 10

  11. Electric Field Correction Fast Rotation Analysis - Muons are injected into the storage ring as a bunchโ€”radial distribution - Muons at inner equilibrium radii will go steadily ahead of those at outer equilibrium radii -> debunching - Modulation of decay positron count (fast rotation signals) can be used to study the debunching - Fast rotation analysis: use a model of the time evolution of the bunch structure to obtain the momentum (radial) distribution of decayed muons Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 11

  12. Fast Rotation Analysis ๐›™ ๐Ÿ‘ ๐๐ฃ๐จ๐ฃ๐ง๐ฃ๐ด๐›๐ฎ๐ฃ๐ฉ๐จ ๐๐Ÿ๐ฎ๐ข๐ฉ๐ž Two bin sets: โ€ฆโ€ฆ Radial bins (i) (Lx=90 mm) Time bins (j) (i.e., 50 bins w/width=1.8mm) (positron count histogram) Note: The geometry factors ๐›พ [\ are known functions of ring geometry and the apparent time structure of the injected bunch (injection zero time and beam revolution time). Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 12

  13. Fast Rotation Analysis Toy MCโ€”Injection Pulse & Signals Counts/[ns] counts Time [ns] Time [ฮผs] Signals seen by Detector Injection Pulse Counts/[ns] Counts/[ns] Bunch overlap Time [ฮผs] Time [ฮผs] Signals seen by Detector ( early time ) Signals seen by Detector ( late time ) Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 13

  14. Fast Rotation Analysis Toy MCโ€” ๐’– ๐Ÿ and ๐‘ผ ๐‘ซ Fit the arrival time of bunches by number of turns to find out the injection zero time and beam revolution time ๐‘ข ๐‘ž๐‘“๐‘๐‘™ = ๐‘œ๐‘ˆ R + ๐‘ข s Arrival time of bunch by turns Arrival time of bunch [us] counts/1[ns] Time [ฮผs] Number of turns Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 14

  15. Fast Rotation Analysis Toy MCโ€”Radial Distribution Apply the ๐œ“ 1 minimization analysis and solve for the radial (momentum) bin contents: With this distribution, we are able to evaluate the electric field corrections to g-2. (๐‘ฆ W = ๐‘† wW;x โˆ’ ๐‘† s , ๐‘† s is the โ€œmagicโ€ radius; ) Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 15

  16. Fast Rotation Analysis Toy MCโ€”Check the Results counts Time [ฮผs] Red: Original Data Blue: Fast Rotation Results counts counts Early time Late time Time [ฮผs] Time [ฮผs] Time [ฮผs] Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 16

  17. Conclusion (๐‘ฆ W = ๐‘† wW;x โˆ’ ๐‘† s , ๐‘† s is the โ€œmagicโ€ radius; ) ยง The electric field plays a very important role in the Fermilab Muon g-2 Experiment in many ways, i.e., muon orbits, muon losses, E-field correction. ยง The electric field has a significant effect on the muon anomalous precession frequency: - We need to align the electrostatic quadrupole plates very carefully; - We need to know the 3D electric field map; - We need to know the muon momentum/radius distribution through the so-called fast rotation analysis. ยง The Experiment is running and it will be a great time to study muon anomaly including its electric field corrections. โ€”Thank You! Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 17

  18. Backup Backup Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 18

  19. Measurement of ๐’ƒ ๐‚ in History Backup Goals: Accuracy: 0.14 ppm Deviation: โ‰ฅ 5๐œ Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 19

  20. Backup Big Picture! Straw Trackers Kicker Modules Pions with p = 3.11 GeV/c are collected from target and Central sent to beamline Orbit Storage Ring Calorimeters: *24 around the ring Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 20

  21. Backup Big Picture! For our final analysis, we can solve for ๐‘ 2 and rewrite it as (using - ๐œˆ W = ๐‘• W ๐‘“โ„/4๐‘› W ) : ๐œˆ S ๐‘› 2 ๐‘ 2 = ๐œ• ; ๐‘• W ๐œ• S ๐œˆ W ๐‘› W 2 About 1.5ร—10 FF Statistical Error Run duration 17 ยฑ 5 months (100 ppb) decay positron ๐‘ 2 Systematic Error fixed probes, Trolley calibration, (140 ppb) on ๐œ• S (70 ppb) trolley measurements of B , etc. 20 ppb Lost Muons < 30 ppb CBO Systematic Error on ๐œ• ; (70 ppb) โƒ— M ๐ถ โ‰  0 ) 30 ppb E and Pitch ( ๐›พ Others Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 21

  22. Backup Polarized Muon Beam ยง Muon is produced polarized : in-flight decay, both โ€œforwardโ€ and โ€œbackwardโ€ muons are highly polarized Pion decay modes: -- http://pdg.lbl.gov/2014/listings/rpp2014-list-pi-plus-minus.pdf Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 22

  23. Backup Beam Resonances March 22 Lost Muons Quad scan for beam resonance studyโ€”Lost Muons Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 23

  24. Backup Decay Positron Signal BNL gโ€“2 PRD 2006 Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 24

  25. Backup Fast Rotation Analysis counts Decay positron energy histogram Energy Cut to select the decay positron signal Energy [MeV] counts counts Decay positron time histogram (after energy cut) Time [ฮผs] Time [ฮผs] If we can functionalize the Real situations: a lot of backgrounds, backgrounds, we can remove them in i.e., muon lifetime, g-2 frequency, fast rotation analysis, i.e., ๐œ and ๐œ• ; CBO, Muon losses โ€ฆ. Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 25

  26. Backup Fast Rotation Analysis Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 26

  27. Backup Fast Rotation Analysis Example (bunch # 0): Radius distribution Peak at 711.5 cm Tuesday, 4/17/2018 Wanwei Wu / APS April Meeting 27

Download Presentation
Download Policy: The content available on the website is offered to you 'AS IS' for your personal information and use only. It cannot be commercialized, licensed, or distributed on other websites without prior consent from the author. To download a presentation, simply click this link. If you encounter any difficulties during the download process, it's possible that the publisher has removed the file from their server.

Recommend

INTRODUCTION INTRODUCTION INTRODUCTION INTRODUCTION INTRODUCTION INTRODUCTION INTRODUCTION

INTRODUCTION INTRODUCTION INTRODUCTION INTRODUCTION INTRODUCTION INTRODUCTION INTRODUCTION

TRAINING COURSE ON SOCIAL PROTECTION &amp; FORMALIZATION TRINIDAD AND TOBAGO MARCH 15, 2017 INTRODUCTION INTRODUCTION INTRODUCTION INTRODUCTION INTRODUCTION INTRODUCTION INTRODUCTION INTRODUCTION Design of the NIS Assistance from the

547 views โ€ข 23 slides
INTRODUCTION Introduction 2/42 INTRODUCTION Alternations I am giving bread to the

INTRODUCTION Introduction 2/42 INTRODUCTION Alternations I am giving bread to the

Patterns of variation in the expression of case and agreement Andrs Brny Leiden University Centre for Linguistics 9 November 2019, BaSIS Workshop a.barany@hum.leidenuniv.nl INTRODUCTION Introduction 2/42 INTRODUCTION

1.37k views โ€ข 42 slides
Introduction Introduction Introduction Introduction Outline Motivation Failures

Introduction Introduction Introduction Introduction Outline Motivation Failures

Introduction Introduction Introduction Introduction Outline Motivation Failures Definition and concepts Process and product properties Principles SE Approaches Motivation Software and the economy The economies of

1.03k views โ€ข 49 slides
Introduction Introduction Introduction Nationwide Cause for Concern 1

Introduction Introduction Introduction Nationwide Cause for Concern 1

Introduction Introduction Introduction Nationwide Cause for Concern 1 https://www.cdc.gov/std/stats17/infographic.htm Introduction Epidemiology in Western Colorado CPHE Surveillance Data Report, May 2018 Chlamydia Epidemiology in Western

977 views โ€ข 39 slides
DAQ introduction Purpose of this talk : (1) Introduction for those who have not been in every

DAQ introduction Purpose of this talk : (1) Introduction for those who have not been in every

DAQ introduction Purpose of this talk : (1) Introduction for those who have not been in every meeting (2) Some ideas of diagrams for section 7.1 (Introduction) of TP. Giles Barr 25 Jan 2018, Pembroke College On DUNE, the reality is there is a

474 views โ€ข 10 slides
INTRODUCTION cf. Schneider, Chapter 1 INTRODUCTION THEY ARE OUT TO GET YOU INTRODUCTION WHAT

INTRODUCTION cf. Schneider, Chapter 1 INTRODUCTION THEY ARE OUT TO GET YOU INTRODUCTION WHAT

ADVANCED COMPUTER SECURITY INTRODUCTION cf. Schneider, Chapter 1 INTRODUCTION THEY ARE OUT TO GET YOU INTRODUCTION WHAT IS SECURITY? A systems security policies describe What the system is supposed to do Store and provide access

479 views โ€ข 16 slides
Overview Introduction to SMIL Introduction to W3C and XML Introduction to SMIL

Overview Introduction to SMIL Introduction to W3C and XML Introduction to SMIL

Overview Introduction to SMIL Introduction to W3C and XML Introduction to SMIL Writing a SMIL file Adding Media Objects Martin Halvey Clipping media files January 2008 Timing and Synchronising Layout World Wide

387 views โ€ข 14 slides
14 Introduction Introduction Bad guys can put malware into Example: hosts

14 Introduction Introduction Bad guys can put malware into Example: hosts

Introduction Introduction source Encapsulation ISO/OSI reference model message M application segment H t H t M transport network datagram H n H n H t M presentation: allow applications to frame link H l H n H t M interpret

583 views โ€ข 4 slides
Previous Lecture Introduction to SMIL 2 Introduction to W3C and XML Introduction to SMIL

Previous Lecture Introduction to SMIL 2 Introduction to W3C and XML Introduction to SMIL

Previous Lecture Introduction to SMIL 2 Introduction to W3C and XML Introduction to SMIL Writing a SMIL file Adding Media Objects Martin Halvey Clipping media files January 2008 Timing and Synchronising Layout

322 views โ€ข 8 slides
Lecture 1 Andreas Habegger Introduction Zynq Introduction Zynq Introduction Zynq PS vs. PL

Lecture 1 Andreas Habegger Introduction Zynq Introduction Zynq Introduction Zynq PS vs. PL

Introduction Zynq Lecture 1 Andreas Habegger Introduction Zynq Introduction Zynq Introduction Zynq PS vs. PL Processing System Processor Peripherals Data Buses AXI Bus Conclusion BTE5380 - Embedded Systems Octobre 2014 Andreas Habegger

1.81k views โ€ข 30 slides
2018.06 01 SMILE5 Introduction S E 5 02 Alpha Cloud M I L 03 Company Introduction 04

2018.06 01 SMILE5 Introduction S E 5 02 Alpha Cloud M I L 03 Company Introduction 04

2018.06 01 SMILE5 Introduction S E 5 02 Alpha Cloud M I L 03 Company Introduction 04 Project References S E 5 PART.1 SMILE5 Introduction M I L Introduction STORION-SMILE5 Residential Energy Storage System Inverter 5kW Output Input

1.06k views โ€ข 25 slides
Introduction to CICS Course introduction Course introduction What is CICS? What is an

Introduction to CICS Course introduction Course introduction What is CICS? What is an

Introduction to CICS Course introduction Course introduction What is CICS? What is an application server? Why use an application server? Course introduction Services provided by CICS How CICS applications are defined Scaling CICS to meet

1.84k views โ€ข 146 slides
Network Visualization Introduction Presented by Shahed Introduction Introduction Basic

Network Visualization Introduction Presented by Shahed Introduction Introduction Basic

Network Visualization Introduction Presented by Shahed Introduction Introduction Basic building blocks Node Links (relationship between nodes) Spatial information Network data

584 views โ€ข 9 slides
Introduction Introduction (1) Main argument of the paper: universities are not only

Introduction Introduction (1) Main argument of the paper: universities are not only

Le jugement des pairs comme outil de management des universits Peer-review as a management tool Christine Musselin (CSO, Sciences Po et CNRS) Avril 2013, Lirrsistible ascension du capitalisme acadmique Introduction Introduction (1)

590 views โ€ข 28 slides
Introduction Introduction to storage and to storage and filesystems filesystems Introduction

Introduction Introduction to storage and to storage and filesystems filesystems Introduction

Moreno Baricevic Gilberto Daz Axel Kohlmeyer Stefano Cozzini ULA ICTP CNR-IOM DEMOCRITOS Merida, VENEZUELA Trieste, ITALY Trieste, ITALY Introduction Introduction to storage and to storage and filesystems filesystems Introduction

1.19k views โ€ข 51 slides
JABLOTRON JA-100 introduction November 2011 Introduction Todays goals First introduction of

JABLOTRON JA-100 introduction November 2011 Introduction Todays goals First introduction of

JABLOTRON JA-100 introduction November 2011 Introduction Todays goals First introduction of the brand new JA-100 alarm system Visions Basic architecture System components Setting Help us with final validations You are the FIRST ones

1.69k views โ€ข 111 slides
Tubelike Wormholes and Charge Confinement Talk at the 7th Mathematical Physics Meeting, Belgrade,

Tubelike Wormholes and Charge Confinement Talk at the 7th Mathematical Physics Meeting, Belgrade,

Tubelike Wormholes and Charge Confinement Talk at the 7th Mathematical Physics Meeting, Belgrade, Sept 09-19, 2012 Eduardo Guendelman 1 , Alexander Kaganovich 1 , Emil Nissimov 2 , Svetlana Pacheva 2 1 Department of Physics, Ben-Gurion University

698 views โ€ข 42 slides
Excitation of E1Pygmy in Inelastic Proton Scattering and RCNP Activities Atsushi Tamii

Excitation of E1Pygmy in Inelastic Proton Scattering and RCNP Activities Atsushi Tamii

Excitation of E1Pygmy in Inelastic Proton Scattering and RCNP Activities Atsushi Tamii Research Center for Nuclear Physics (RCNP) Osaka University, Japan COMEX5 5th International Conference on Collective Motion in Nuclei under

1.27k views โ€ข 105 slides
Debye Relaxation Model MSE/EE 590 Discussion 1 Pressure Broadening and Debyes Relaxation

Debye Relaxation Model MSE/EE 590 Discussion 1 Pressure Broadening and Debyes Relaxation

Debye Relaxation Model MSE/EE 590 Discussion 1 Pressure Broadening and Debyes Relaxation Equation P. Debye, Polar Molecules, The Chemical Catalog Company, Inc., New York, 1929. Section 18, pp. 89-95. Polar Liquids under the Influence of High

334 views โ€ข 9 slides
Gas Laws: Real Gases Real Gases Real gases deviate from ideal gas law Quantify deviations

Gas Laws: Real Gases Real Gases Real gases deviate from ideal gas law Quantify deviations

Gas Laws: Real Gases Real Gases Real gases deviate from ideal gas law Quantify deviations using compressibility factor, Z. Z = PVbar/RT Z = 1 for ideal gas Need corrections to account for non- ideal behavior. Gas

322 views โ€ข 9 slides
Electric field quench and turbulent meson condensation in AdS/CFT Keio University, Japan Keiju

Electric field quench and turbulent meson condensation in AdS/CFT Keio University, Japan Keiju

Electric field quench and turbulent meson condensation in AdS/CFT Keio University, Japan Keiju Murata with K.Hashimoto, S.Kinoshita, T.Oka K,Hashimoto,S.Kinoshita,KM,T.Oka, Electric Field Quench in AdS/CFT, arXiv:1407.0798, accepted

281 views โ€ข 11 slides
Check out electric field java applet ... link is on class website

Check out electric field java applet ... link is on class website

Check out electric field java applet ... link is on class website

274 views โ€ข 16 slides
Remember These? Carbon monoxide rigid rotator Zeeman effect in the Sun Jerry Gilfoyle Radiation

Remember These? Carbon monoxide rigid rotator Zeeman effect in the Sun Jerry Gilfoyle Radiation

Remember These? Carbon monoxide rigid rotator Zeeman effect in the Sun Jerry Gilfoyle Radiation 1 / 13 Remember These? Carbon monoxide rigid rotator Zeeman effect in the Sun To explain these we invoked selection rules: l = 1, m =

521 views โ€ข 28 slides
2 At Home: Kinect IR Camera RGB Camera There are some problems with cameras 3 Illumination

2 At Home: Kinect IR Camera RGB Camera There are some problems with cameras 3 Illumination

2 At Home: Kinect IR Camera RGB Camera There are some problems with cameras 3 Illumination 4 Occlusion 5 Bandwidth 6 Power Consumtion 7 Cost 8 Privacy? 9 Other Sensing Methods? Vision is one of our main senses What else

706 views โ€ข 55 slides

More recommend