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Title: Extraction of the proton radius from electron-proton scattering data

Abstract

We perform a new analysis of electron-proton scattering data to determine the proton electric and magnetic radii, enforcing model-independent constraints from form factor analyticity. A wide-ranging study of possible systematic effects is performed. An improved analysis is developed that rebins data taken at identical kinematic settings and avoids a scaling assumption of systematic errors with statistical errors. Employing standard models for radiative corrections, our improved analysis of the 2010 Mainz A1 Collaboration data yields a proton electric radius r E = 0.895(20) fm and magnetic radius r M = 0.776(38) fm. A similar analysis applied to world data (excluding Mainz data) implies r E = 0.916(24) fm and r M = 0.914(35) fm. The Mainz and world values of the charge radius are consistent, and a simple combination yields a value r E = 0.904(15) fm that is 4σ larger than the CREMA Collaboration muonic hydrogen determination. The Mainz and world values of the magnetic radius differ by 2.7σ, and a simple average yields r M = 0.851(26) fm. As a result, the circumstances under which published muonic hydrogen and electron scattering data could be reconciled are discussed, including a possible deficiency in the standard radiative correction model which requiresmore » further analysis.« less

Authors:
 [1];  [2];  [3]
  1. The Univ. of Chicago, Chicago, IL (United States); Technion-Israel Institute of Technology, Haifa (Israel)
  2. Argonne National Lab. (ANL), Argonne, IL (United States)
  3. The Univ. of Chicago, Chicago, IL (United States)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1399100
Alternate Identifier(s):
OSTI ID: 1202637
Grant/Contract Number:  
AC02-06CH11357; FG02-13ER41958; SC0009924
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 92; Journal Issue: 1; Journal ID: ISSN 1550-7998
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Lee, Gabriel, Arrington, John R., and Hill, Richard J. Extraction of the proton radius from electron-proton scattering data. United States: N. p., 2015. Web. doi:10.1103/PhysRevD.92.013013.
Lee, Gabriel, Arrington, John R., & Hill, Richard J. Extraction of the proton radius from electron-proton scattering data. United States. https://doi.org/10.1103/PhysRevD.92.013013
Lee, Gabriel, Arrington, John R., and Hill, Richard J. Mon . "Extraction of the proton radius from electron-proton scattering data". United States. https://doi.org/10.1103/PhysRevD.92.013013. https://www.osti.gov/servlets/purl/1399100.
@article{osti_1399100,
title = {Extraction of the proton radius from electron-proton scattering data},
author = {Lee, Gabriel and Arrington, John R. and Hill, Richard J.},
abstractNote = {We perform a new analysis of electron-proton scattering data to determine the proton electric and magnetic radii, enforcing model-independent constraints from form factor analyticity. A wide-ranging study of possible systematic effects is performed. An improved analysis is developed that rebins data taken at identical kinematic settings and avoids a scaling assumption of systematic errors with statistical errors. Employing standard models for radiative corrections, our improved analysis of the 2010 Mainz A1 Collaboration data yields a proton electric radius rE = 0.895(20) fm and magnetic radius rM = 0.776(38) fm. A similar analysis applied to world data (excluding Mainz data) implies rE = 0.916(24) fm and rM = 0.914(35) fm. The Mainz and world values of the charge radius are consistent, and a simple combination yields a value rE = 0.904(15) fm that is 4σ larger than the CREMA Collaboration muonic hydrogen determination. The Mainz and world values of the magnetic radius differ by 2.7σ, and a simple average yields rM = 0.851(26) fm. As a result, the circumstances under which published muonic hydrogen and electron scattering data could be reconciled are discussed, including a possible deficiency in the standard radiative correction model which requires further analysis.},
doi = {10.1103/PhysRevD.92.013013},
url = {https://www.osti.gov/biblio/1399100}, journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
issn = {1550-7998},
number = 1,
volume = 92,
place = {United States},
year = {2015},
month = {7}
}

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Cited by: 33 works
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Works referenced in this record:

QED radiative corrections to virtual Compton scattering
journal, July 2000


Nucleon form factors and moments of generalized parton distributions using N f = 2 + 1 + 1 twisted mass fermions
journal, July 2013


Measurement of G E p / G M p in e p e p to Q 2 = 5.6 GeV 2
journal, February 2002


Two-Photon Exchange and Elastic Electron-Proton Scattering
journal, October 2003


Measurement of the Two-Photon Exchange Contribution to the Elastic e ± p Scattering Cross Sections at the VEPP-3 Storage Ring
journal, February 2015


Nucleon electromagnetic form factors from lattice QCD using a nearly physical pion mass
journal, October 2014


Towards a Resolution of the Proton Form Factor Problem: New Electron and Positron Scattering Data
journal, February 2015


Electric and magnetic form factors of the proton
journal, July 2014


G E p / G M p Ratio by Polarization Transfer in e p e p
journal, February 2000


Model independent extraction of the proton magnetic radius from electron scattering
journal, October 2014


Recoil Polarization Measurements of the Proton Electromagnetic Form Factor Ratio to Q 2 = 8.5 GeV 2
journal, June 2010


Nucleon charges and electromagnetic form factors from 2 + 1 + 1 -flavor lattice QCD
journal, May 2014


The proton radius puzzle
journal, May 2015


Proton G E / G M from beam-target asymmetry
journal, September 2006


Dispersion analysis of the nucleon form factors including meson continua
journal, March 2007


Precision Rosenbluth Measurement of the Proton Elastic Form Factors
journal, April 2005


Measurement of the Proton’s Electric to Magnetic Form Factor Ratio from H 1 ( e , e p )
journal, January 2007


High-precision measurement of the proton elastic form factor ratio <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi>μ</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:msub><mml:mi>G</mml:mi><mml:mi>E</mml:mi></mml:msub><mml:mo stretchy="false">/</mml:mo><mml:msub><mml:mi>G</mml:mi><mml:mi>M</mml:mi></mml:msub></mml:math> at low <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi>Q</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math>
journal, November 2011


Absolute electron-proton cross sections at low momentum transfer measured with a high pressure gas target system
journal, January 1980


NP-hardness of deciding convexity of quartic polynomials and related problems
journal, November 2011


Reduction of the proton radius discrepancy by 3 σ
journal, October 2014


The ratio of proton electromagnetic form factors via recoil polarimetry at
journal, January 2006


Erratum: Comparison of Polarization Observables in Electron Scattering from the Proton and Deuteron [Phys. Rev. Lett. 80, 452 (1998)]
journal, March 1999


Elastic Electron-Proton Scattering Cross Sections Measured by a Coincidence Technique
journal, May 1970


Proton Form Factors from Observation of Recoil Protons
journal, January 1966


Comparison of Polarization Observables in Electron Scattering from the Proton and Deuteron
journal, January 1998


Differences in quasielastic cross sections of muon and electron neutrinos
journal, September 2012


Simple parametrization of nucleon form factors
journal, December 2004


Model-independent determination of the axial mass parameter in quasielastic neutrino-nucleon scattering
journal, October 2011


Measurements of electron-proton elastic cross sections for 0.4 < Q 2 < 5.5 ( GeV c ) 2
journal, July 2004


Implications of the discrepancy between proton form factor measurements
journal, February 2004


Low- Q 2 measurements of the proton form factor ratio μ p G E / G M
journal, November 2011


Model Independent Analysis of Proton Structure for Hydrogenic Bound States
journal, October 2011


Radiative Corrections to Electron-Proton Scattering
journal, June 1961


On the rms-radius of the proton
journal, December 2003


CODATA recommended values of the fundamental physical constants: 2010
journal, November 2012


Model-independent extraction of the proton charge radius from electron scattering
journal, December 2010


Comment on form-factor shape and extraction of <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mo stretchy="false">|</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>u</mml:mi><mml:mi>b</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">|</mml:mo></mml:math> from <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>B</mml:mi><mml:mo>→</mml:mo><mml:mi>π</mml:mi><mml:mi>l</mml:mi><mml:mi>ν</mml:mi></mml:math>
journal, February 2006


Measurements of the elastic electromagnetic form factor ratio μ p G Ep / G Mp via polarization transfer
journal, August 2001


How well do we know the electromagnetic form factors of the proton?
journal, September 2003


Proton elastic form factor ratios to Q 2 = 3.5 GeV 2 by polarization transfer
journal, May 2005


Measurements of the proton elastic form factors for 1 Q 2 3 ( G e V / c ) 2 at SLAC
journal, June 1994


The infrared divergence phenomena and high-energy processes
journal, June 1961


Two-Photon Physics in Hadronic Processes
journal, November 2007


Evaluation of the Proton Charge Radius from Electron–Proton Scattering
journal, September 2015


Theoretical constraints and systematic effects in the determination of the proton form factors
journal, January 2015


Exclusive processes in perturbative quantum chromodynamics
journal, November 1980


Muonic Hydrogen and the Proton Radius Puzzle
journal, October 2013


Backward electron-deuteron scattering below 280 MeV
journal, January 1972


Measurements of the Proton Elastic-Form-Factor Ratio μ p G E p / G M p at Low Momentum Transfer
journal, November 2007


Constrained curve fitting
journal, March 2002


Radiative Corrections to Elastic and Inelastic ep and up Scattering
journal, January 1969


Review of Particle Physics
journal, July 2010


Measurements of the electric and magnetic form factors of the proton from Q 2 =1.75 to 8.83 (GeV/ c ) 2
journal, November 1994


Proton Structure from the Measurement of 2S-2P Transition Frequencies of Muonic Hydrogen
journal, January 2013


Bayesian methods for parameter estimation in effective field theories
journal, March 2009


Two-photon exchange in elastic electron-nucleon scattering
journal, September 2005


The size of the proton
journal, July 2010


Initial state radiation experiment at MAMI
journal, January 2014


Radiative corrections to electron-proton scattering
journal, October 2000


The Coulomb Scattering of Relativistic Electrons by Nuclei
journal, December 1948


Muonic hydrogen and MeV forces
journal, May 2011


Polynomial fits and the proton radius puzzle
journal, October 2014


An Examination of Proton Charge Radius Extractions from e–p Scattering Data
journal, September 2015


Nucleon form factors with 2 + 1 flavor dynamical domain-wall fermions
journal, June 2009


Global analysis of proton elastic form factor data with two-photon exchange corrections
journal, September 2007


Hadronic vacuum polarization and the Lamb shift
journal, May 1999


Precision Spectroscopy of Atomic Hydrogen
journal, December 2013


Nucleon structure from mixed action calculations using 2 + 1 flavors of asqtad sea and domain wall valence fermions
journal, November 2010


Coulomb corrections in the extraction of the proton radius
journal, October 2013


Optical frequency measurement of the 1S–3S two-photon transition in hydrogen
journal, September 2010


Probing new physics with underground accelerators and radioactive sources
journal, January 2015


Proton Size Anomaly
journal, April 2011


Problems with proton radii
journal, April 2012


The PRad experiment and the proton radius puzzle
journal, January 2014


Final analysis of proton form factor ratio data at Q 2 = 4.0 , 4.8, and 5.6 GeV 2
journal, April 2012


Measurement of GEp/GMp via polarization transfer at Q2 = 0.4 GeV /c2
journal, September 2001


Review of two-photon exchange in electron scattering
journal, October 2011


New Parity-Violating Muonic Forces and the Proton Charge Radius
journal, June 2011


Radiative corrections for ( e , e p ) reactions at GeV energies
journal, October 2001


Hadronic vacuum polarization contribution to — 2 of the leptons and α(Mz)
journal, December 1996


    Works referencing / citing this record:

    Hyperfine structure of P states in muonic deuterium
    journal, November 2015


    Pseudoscalar meson electromagnetic form factor at high Q 2 from full lattice QCD
    journal, September 2017


    Extraction of the Proton and Electron Radii from Characteristic Atomic Lines and Entropy Principles
    journal, June 2017


    A small proton charge radius from an electron–proton scattering experiment
    journal, November 2019


    Nucleon axial radius and muonic hydrogen—a new analysis and review
    journal, July 2018


    Tabulation of the bound-state energies of atomic hydrogen
    journal, February 2016


    Consistency of electron scattering data with a small proton radius
    journal, June 2016


    Proton radius from electron-proton scattering and chiral perturbation theory
    journal, March 2017


    Reexamining the proton-radius problem using constrained Gaussian processes
    journal, May 2019


    Nucleon electromagnetic form factors in the continuum limit from ( 2 + 1 + 1 )-flavor lattice QCD
    journal, January 2020


    Deuterium target data for precision neutrino-nucleus cross sections
    journal, June 2016


    Nucleon spin-averaged forward virtual Compton tensor at large Q 2
    journal, May 2017


    Two-photon exchange contribution to elastic e -proton scattering: Full dispersive treatment of π N states and comparison with data
    journal, November 2017


    Axial-vector form factors of the nucleon from lattice QCD
    journal, December 2017


    Sea quarks contribution to the nucleon magnetic moment and charge radius at the physical point
    journal, December 2017


    On the $\pi\pi$ π π continuum in the nucleon form factors and the proton radius puzzle
    journal, November 2016


    Proton Charge Radius from Electron Scattering
    journal, December 2017