Extraction of the proton radius from electron-proton scattering data

Lee, Gabriel; Arrington, John R.; Hill, Richard J.

doi:10.1103/PhysRevD.92.013013

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

Journal Article · Mon Jul 27 00:00:00 EDT 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.92.013013· OSTI ID:1399100

Lee, Gabriel ^[1]; Arrington, John R. ^[2]; Hill, Richard J. ^[3]

The Univ. of Chicago, Chicago, IL (United States); Technion-Israel Institute of Technology, Haifa (Israel)
Argonne National Lab. (ANL), Argonne, IL (United States)
The Univ. of Chicago, Chicago, IL (United States)

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 requires further analysis.

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Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC02-06CH11357; FG02-13ER41958; SC0009924

OSTI ID:: 1399100

Alternate ID(s):: OSTI ID: 1202637

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 92, Issue 1; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 89 works

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References (116)

QED radiative corrections to virtual Compton scattering Vanderhaeghen, M.; Friedrich, J. M.; Lhuillier, D. Physical Review C, Vol. 62, Issue 2 https://doi.org/10.1103/PhysRevC.62.025501	journal	July 2000
Nucleon form factors and moments of generalized parton distributions using $N_{f} = 2 + 1 + 1$ twisted mass fermions Alexandrou, C.; Constantinou, M.; Dinter, S. Physical Review D, Vol. 88, Issue 1 https://doi.org/10.1103/PhysRevD.88.014509	journal	July 2013
Measurement of $G_{E_{p}} / G_{M_{p}}$ in $\vec{e} p \to e \vec{p}$ to $Q^{2} = 5.6 {GeV}^{2}$ Gayou, O.; Aniol, K. A.; Averett, T. Physical Review Letters, Vol. 88, Issue 9 https://doi.org/10.1103/PhysRevLett.88.092301	journal	February 2002
Two-Photon Exchange and Elastic Electron-Proton Scattering Blunden, P. G.; Melnitchouk, W.; Tjon, J. A. Physical Review Letters, Vol. 91, Issue 14 https://doi.org/10.1103/PhysRevLett.91.142304	journal	October 2003
Polarization Transfer in the ${}^{4}{H e} (\vec{e}, e^{'} \vec{p}) {}^{3}H$ Reaction up to $Q^{2} = 2.6 (G e V / c)^{2}$ Strauch, S.; Dieterich, S.; Aniol, K. A. Physical Review Letters, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevLett.91.052301	journal	July 2003
Measurement of the Two-Photon Exchange Contribution to the Elastic $e^{\pm} p$ Scattering Cross Sections at the VEPP-3 Storage Ring Rachek, I. A.; Arrington, J.; Dmitriev, V. F. Physical Review Letters, Vol. 114, Issue 6 https://doi.org/10.1103/PhysRevLett.114.062005	journal	February 2015
Nucleon electromagnetic form factors from lattice QCD using a nearly physical pion mass Green, J. R.; Negele, J. W.; Pochinsky, A. V. Physical Review D, Vol. 90, Issue 7 https://doi.org/10.1103/PhysRevD.90.074507	journal	October 2014
Towards a Resolution of the Proton Form Factor Problem: New Electron and Positron Scattering Data Adikaram, D.; Rimal, D.; Weinstein, L. B. Physical Review Letters, Vol. 114, Issue 6 https://doi.org/10.1103/PhysRevLett.114.062003	journal	February 2015
Electric and magnetic form factors of the proton Bernauer, J. C.; Distler, M. O.; Friedrich, J. Physical Review C, Vol. 90, Issue 1 https://doi.org/10.1103/PhysRevC.90.015206	journal	July 2014
$G_{E_{p}} / G_{M_{p}}$ Ratio by Polarization Transfer in $\vec{e} p \to e \vec{p}$ Jones, M. K.; Aniol, K. A.; Baker, F. T. Physical Review Letters, Vol. 84, Issue 7 https://doi.org/10.1103/PhysRevLett.84.1398	journal	February 2000
Model independent extraction of the proton magnetic radius from electron scattering Epstein, Zachary; Paz, Gil; Roy, Joydeep Physical Review D, Vol. 90, Issue 7 https://doi.org/10.1103/PhysRevD.90.074027	journal	October 2014
Recoil Polarization Measurements of the Proton Electromagnetic Form Factor Ratio to $Q^{2} = 8.5 {GeV}^{2}$ Puckett, A. J. R.; Brash, E. J.; Jones, M. K. Physical Review Letters, Vol. 104, Issue 24 https://doi.org/10.1103/PhysRevLett.104.242301	journal	June 2010
Erratum to “Bayesian methods for parameter estimation in effective field theories” [Ann. Phys. 324 (2009) 682–708] Schindler, M. R.; Phillips, D. R. Annals of Physics, Vol. 324, Issue 9 https://doi.org/10.1016/j.aop.2009.05.007	journal	September 2009
Nucleon charges and electromagnetic form factors from $2 + 1 + 1$ -flavor lattice QCD Bhattacharya, Tanmoy; Cohen, Saul D.; Gupta, Rajan Physical Review D, Vol. 89, Issue 9 https://doi.org/10.1103/PhysRevD.89.094502	journal	May 2014
Publisher's Note: Proton elastic form factor ratios to $Q^{2} = 3.5 {GeV}^{2}$ by polarization transfer [Phys. Rev. C 71, 055202 (2005)] Punjabi, V.; Perdrisat, C. F.; Aniol, K. A. Physical Review C, Vol. 71, Issue 6 https://doi.org/10.1103/PhysRevC.71.069902	journal	June 2005
The proton radius puzzle Carlson, Carl E. Progress in Particle and Nuclear Physics, Vol. 82 https://doi.org/10.1016/j.ppnp.2015.01.002	journal	May 2015
Proton $G_{E} / G_{M}$ from beam-target asymmetry Jones, M. K.; Aghalaryan, A.; Ahmidouch, A. Physical Review C, Vol. 74, Issue 3 https://doi.org/10.1103/PhysRevC.74.035201	journal	September 2006
Dispersion analysis of the nucleon form factors including meson continua Belushkin, M. A.; Hammer, H. -W.; Meißner, Ulf-G. Physical Review C, Vol. 75, Issue 3 https://doi.org/10.1103/PhysRevC.75.035202	journal	March 2007
Precision Rosenbluth Measurement of the Proton Elastic Form Factors Qattan, I. A.; Arrington, J.; Segel, R. E. Physical Review Letters, Vol. 94, Issue 14 https://doi.org/10.1103/PhysRevLett.94.142301	journal	April 2005
Measurement of the Proton’s Electric to Magnetic Form Factor Ratio from ${}^{1}{\vec{H}} (\vec{e}, e^{'} p)$ Crawford, C. B.; Sindile, A.; Akdogan, T. Physical Review Letters, Vol. 98, Issue 5 https://doi.org/10.1103/PhysRevLett.98.052301	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> Zhan, X.; Allada, K.; Armstrong, D. S. Physics Letters B, Vol. 705, Issue 1-2 https://doi.org/10.1016/j.physletb.2011.10.002	journal	November 2011
Absolute electron-proton cross sections at low momentum transfer measured with a high pressure gas target system Simon, G. G.; Schmitt, Ch.; Borkowski, F. Nuclear Physics A, Vol. 333, Issue 3 https://doi.org/10.1016/0375-9474(80)90104-9	journal	January 1980
NP-hardness of deciding convexity of quartic polynomials and related problems Ahmadi, Amir Ali; Olshevsky, Alex; Parrilo, Pablo A. Mathematical Programming, Vol. 137, Issue 1-2 https://doi.org/10.1007/s10107-011-0499-2	journal	November 2011
Reduction of the proton radius discrepancy by 3 σ Lorenz, I. T.; Meißner, Ulf-G. Physics Letters B, Vol. 737 https://doi.org/10.1016/j.physletb.2014.08.010	journal	October 2014
The ratio of proton electromagnetic form factors via recoil polarimetry at MacLachlan, G.; Aghalaryan, A.; Ahmidouch, A. Nuclear Physics A, Vol. 764 https://doi.org/10.1016/j.nuclphysa.2005.09.012	journal	January 2006
Erratum: Comparison of Polarization Observables in Electron Scattering from the Proton and Deuteron [Phys. Rev. Lett. 80, 452 (1998)] Milbrath, B. D.; McIntyre, J. I.; Armstrong, C. S. Physical Review Letters, Vol. 82, Issue 10 https://doi.org/10.1103/PhysRevLett.82.2221	journal	March 1999
Elastic Electron-Proton Scattering Cross Sections Measured by a Coincidence Technique Goitein, M.; Budnitz, R. J.; Carroll, L. Physical Review D, Vol. 1, Issue 9 https://doi.org/10.1103/PhysRevD.1.2449	journal	May 1970
Proton Form Factors from Observation of Recoil Protons Frèrejacque, D.; Benaksas, D.; Drickey, D. Physical Review, Vol. 141, Issue 4 https://doi.org/10.1103/PhysRev.141.1308	journal	January 1966
Comparison of Polarization Observables in Electron Scattering from the Proton and Deuteron Milbrath, B. D.; McIntyre, J. I.; Armstrong, C. S. Physical Review Letters, Vol. 80, Issue 3 https://doi.org/10.1103/PhysRevLett.80.452	journal	January 1998
Differences in quasielastic cross sections of muon and electron neutrinos Day, Melanie; McFarland, Kevin S. Physical Review D, Vol. 86, Issue 5 https://doi.org/10.1103/PhysRevD.86.053003	journal	September 2012
Simple parametrization of nucleon form factors Kelly, J. J. Physical Review C, Vol. 70, Issue 6 https://doi.org/10.1103/PhysRevC.70.068202	journal	December 2004
Model-independent determination of the axial mass parameter in quasielastic neutrino-nucleon scattering Bhattacharya, Bhubanjyoti; Hill, Richard J.; Paz, Gil Physical Review D, Vol. 84, Issue 7 https://doi.org/10.1103/PhysRevD.84.073006	journal	October 2011
Measurements of electron-proton elastic cross sections for $0.4 < Q^{2} < 5.5 {(GeV ∕ c)}^{2}$ Christy, M. E.; Ahmidouch, A.; Armstrong, C. S. Physical Review C, Vol. 70, Issue 1 https://doi.org/10.1103/PhysRevC.70.015206	journal	July 2004
Implications of the discrepancy between proton form factor measurements Arrington, J. Physical Review C, Vol. 69, Issue 2 https://doi.org/10.1103/PhysRevC.69.022201	journal	February 2004
Low- $Q^{2}$ measurements of the proton form factor ratio $μ_{p} G_{E} / G_{M}$ Ron, G.; Zhan, X.; Glister, J. Physical Review C, Vol. 84, Issue 5 https://doi.org/10.1103/PhysRevC.84.055204	journal	November 2011
Model Independent Analysis of Proton Structure for Hydrogenic Bound States Hill, Richard J.; Paz, Gil Physical Review Letters, Vol. 107, Issue 16 https://doi.org/10.1103/PhysRevLett.107.160402	journal	October 2011
Radiative Corrections to Electron-Proton Scattering Tsai, Yung-Su Physical Review, Vol. 122, Issue 6 https://doi.org/10.1103/PhysRev.122.1898	journal	June 1961
On the rms-radius of the proton Sick, Ingo Physics Letters B, Vol. 576, Issue 1-2 https://doi.org/10.1016/j.physletb.2003.09.092	journal	December 2003
CODATA recommended values of the fundamental physical constants: 2010 Mohr, Peter J.; Taylor, Barry N.; Newell, David B. Reviews of Modern Physics, Vol. 84, Issue 4 https://doi.org/10.1103/RevModPhys.84.1527	journal	November 2012
Model-independent extraction of the proton charge radius from electron scattering Hill, Richard J.; Paz, Gil Physical Review D, Vol. 82, Issue 11 https://doi.org/10.1103/PhysRevD.82.113005	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> Becher, Thomas; Hill, Richard J. Physics Letters B, Vol. 633, Issue 1 https://doi.org/10.1016/j.physletb.2005.11.063	journal	February 2006
Measurements of the elastic electromagnetic form factor ratio $μ_{p} G_{Ep} {/ G}_{Mp}$ via polarization transfer Gayou, O.; Wijesooriya, K.; Afanasev, A. Physical Review C, Vol. 64, Issue 3 https://doi.org/10.1103/PhysRevC.64.038202	journal	August 2001
How well do we know the electromagnetic form factors of the proton? Arrington, J. Physical Review C, Vol. 68, Issue 3 https://doi.org/10.1103/PhysRevC.68.034325	journal	September 2003
Proton elastic form factor ratios to $Q^{2} = 3.5 GeV^{2}$ by polarization transfer Punjabi, V.; Perdrisat, C. F.; Aniol, K. A. Physical Review C, Vol. 71, Issue 5 https://doi.org/10.1103/PhysRevC.71.055202	journal	May 2005
Measurements of the proton elastic form factors for $1 \leq Q^{2} \leq 3$ ${(G e V / c)}^{2}$ at SLAC Walker, R. C.; Filippone, B. W.; Jourdan, J. Physical Review D, Vol. 49, Issue 11 https://doi.org/10.1103/PhysRevD.49.5671	journal	June 1994
The infrared divergence phenomena and high-energy processes Yennie, D. R.; Frautschi, S. C.; Suura, H. Annals of Physics, Vol. 13, Issue 3 https://doi.org/10.1016/0003-4916(61)90151-8	journal	June 1961
Two-Photon Physics in Hadronic Processes Carlson, Carl E.; Vanderhaeghen, Marc Annual Review of Nuclear and Particle Science, Vol. 57, Issue 1 https://doi.org/10.1146/annurev.nucl.57.090506.123116	journal	November 2007
Evidence for two-photon exchange contributions in electron-proton and positron-proton elastic scattering Arrington, J. Physical Review C, Vol. 69, Issue 3 https://doi.org/10.1103/PhysRevC.69.032201	journal	March 2004
Evaluation of the Proton Charge Radius from Electron–Proton Scattering Arrington, John; Sick, Ingo Journal of Physical and Chemical Reference Data, Vol. 44, Issue 3 https://doi.org/10.1063/1.4921430	journal	September 2015
Comment on “High-Precision Determination of the Electric and Magnetic Form Factors of the Proton” Arrington, J. Physical Review Letters, Vol. 107, Issue 11 https://doi.org/10.1103/PhysRevLett.107.119101	journal	September 2011
Theoretical constraints and systematic effects in the determination of the proton form factors Lorenz, I. T.; Meißner, Ulf-G.; Hammer, H. -W. Physical Review D, Vol. 91, Issue 1 https://doi.org/10.1103/PhysRevD.91.014023	journal	January 2015
Exclusive processes in perturbative quantum chromodynamics Lepage, G. Peter; Brodsky, Stanley J. Physical Review D, Vol. 22, Issue 9 https://doi.org/10.1103/PhysRevD.22.2157	journal	November 1980
Muonic Hydrogen and the Proton Radius Puzzle Pohl, Randolf; Gilman, Ronald; Miller, Gerald A. Annual Review of Nuclear and Particle Science, Vol. 63, Issue 1 https://doi.org/10.1146/annurev-nucl-102212-170627	journal	October 2013
Backward electron-deuteron scattering below 280 MeV Ganichot, D.; Grossetête, B.; Isabelle, D. B. Nuclear Physics A, Vol. 178, Issue 2 https://doi.org/10.1016/0375-9474(72)90480-0	journal	January 1972
Measurements of the Proton Elastic-Form-Factor Ratio $μ_{p} G_{E}^{p} / G_{M}^{p}$ at Low Momentum Transfer Ron, G.; Glister, J.; Lee, B. Physical Review Letters, Vol. 99, Issue 20 https://doi.org/10.1103/PhysRevLett.99.202002	journal	November 2007
Constrained curve fitting Lepage, G. P.; Clark, B.; Davies, C. T. H. Nuclear Physics B - Proceedings Supplements, Vol. 106-107 https://doi.org/10.1016/S0920-5632(01)01638-3	journal	March 2002
Radiative Corrections to Elastic and Inelastic $ep$ and $up$ Scattering Mo, L. W.; Tsai, Y. S. Reviews of Modern Physics, Vol. 41, Issue 1 https://doi.org/10.1103/RevModPhys.41.205	journal	January 1969
Review of Particle Physics Nakamura, K. Journal of Physics G: Nuclear and Particle Physics, Vol. 37, Issue 7A https://doi.org/10.1088/0954-3899/37/7A/075021	journal	July 2010
Measurements of the electric and magnetic form factors of the proton from $Q^{2}$ =1.75 to 8.83 (GeV/ c $)^{2}$ Andivahis, L.; Bosted, P. E.; Lung, A. Physical Review D, Vol. 50, Issue 9 https://doi.org/10.1103/PhysRevD.50.5491	journal	November 1994
Proton Structure from the Measurement of 2S-2P Transition Frequencies of Muonic Hydrogen Antognini, A.; Nez, F.; Schuhmann, K. Science, Vol. 339, Issue 6118 https://doi.org/10.1126/science.1230016	journal	January 2013
Bayesian methods for parameter estimation in effective field theories Schindler, M. R.; Phillips, D. R. Annals of Physics, Vol. 324, Issue 3 https://doi.org/10.1016/j.aop.2008.09.003	journal	March 2009
Two-photon exchange in elastic electron-nucleon scattering Blunden, P. G.; Melnitchouk, W.; Tjon, J. A. Physical Review C, Vol. 72, Issue 3 https://doi.org/10.1103/PhysRevC.72.034612	journal	September 2005
The size of the proton Pohl, Randolf; Antognini, Aldo; Nez, François Nature, Vol. 466, Issue 7303 https://doi.org/10.1038/nature09250	journal	July 2010
Initial state radiation experiment at MAMI Mihovilovič, M.; Merkel, H.; Weber, A. EPJ Web of Conferences, Vol. 72 https://doi.org/10.1051/epjconf/20147200017	journal	January 2014
Radiative corrections to electron-proton scattering Maximon, L. C.; Tjon, J. A. Physical Review C, Vol. 62, Issue 5 https://doi.org/10.1103/PhysRevC.62.054320	journal	October 2000
The Coulomb Scattering of Relativistic Electrons by Nuclei McKinley, William A.; Feshbach, Herman Physical Review, Vol. 74, Issue 12 https://doi.org/10.1103/PhysRev.74.1759	journal	December 1948
Muonic hydrogen and MeV forces Tucker-Smith, David; Yavin, Itay Physical Review D, Vol. 83, Issue 10 https://doi.org/10.1103/PhysRevD.83.101702	journal	May 2011
Polynomial fits and the proton radius puzzle Kraus, E.; Mesick, K. E.; White, A. Physical Review C, Vol. 90, Issue 4 https://doi.org/10.1103/PhysRevC.90.045206	journal	October 2014
An Examination of Proton Charge Radius Extractions from e–p Scattering Data Arrington, John Journal of Physical and Chemical Reference Data, Vol. 44, Issue 3 https://doi.org/10.1063/1.4922414	journal	September 2015
Precise determination of low- $Q$ nucleon electromagnetic form factors and their impact on parity-violating $e$ - $p$ elastic scattering Arrington, John; Sick, Ingo Physical Review C, Vol. 76, Issue 3 https://doi.org/10.1103/PhysRevC.76.035201	journal	September 2007
Nucleon form factors with $2 + 1$ flavor dynamical domain-wall fermions Yamazaki, Takeshi; Aoki, Yasumichi; Blum, Tom Physical Review D, Vol. 79, Issue 11 https://doi.org/10.1103/PhysRevD.79.114505	journal	June 2009
Global analysis of proton elastic form factor data with two-photon exchange corrections Arrington, J.; Melnitchouk, W.; Tjon, J. A. Physical Review C, Vol. 76, Issue 3 https://doi.org/10.1103/PhysRevC.76.035205	journal	September 2007
Hadronic vacuum polarization and the Lamb shift Friar, J. L.; Martorell, J.; Sprung, D. W. L. Physical Review A, Vol. 59, Issue 5 https://doi.org/10.1103/PhysRevA.59.4061	journal	May 1999
Precision Spectroscopy of Atomic Hydrogen Beyer, A.; Parthey, Ch G.; Kolachevsky, N. Journal of Physics: Conference Series, Vol. 467 https://doi.org/10.1088/1742-6596/467/1/012003	journal	December 2013
Nucleon structure from mixed action calculations using $2 + 1$ flavors of asqtad sea and domain wall valence fermions Bratt, J. D.; Edwards, R. G.; Engelhardt, M. Physical Review D, Vol. 82, Issue 9 https://doi.org/10.1103/PhysRevD.82.094502	journal	November 2010
Coulomb corrections in the extraction of the proton radius Arrington, John Journal of Physics G: Nuclear and Particle Physics, Vol. 40, Issue 11 https://doi.org/10.1088/0954-3899/40/11/115003	journal	October 2013
Optical frequency measurement of the 1S–3S two-photon transition in hydrogen Arnoult, O.; Nez, F.; Julien, L. The European Physical Journal D, Vol. 60, Issue 2 https://doi.org/10.1140/epjd/e2010-00249-6	journal	September 2010
Probing new physics with underground accelerators and radioactive sources Izaguirre, Eder; Krnjaic, Gordan; Pospelov, Maxim Physics Letters B, Vol. 740 https://doi.org/10.1016/j.physletb.2014.11.037	journal	January 2015
Measurement of proton and neutron electromagnetic form factors at squared four-momentum transfers up to 3 (GeV/c)2 Bartel, W.; Büsser, F. -W.; Dix, W. -R. Nuclear Physics B, Vol. 58, Issue 2 https://doi.org/10.1016/0550-3213(73)90594-4	journal	July 1973
Proton Size Anomaly Barger, Vernon; Chiang, Cheng-Wei; Keung, Wai-Yee Physical Review Letters, Vol. 106, Issue 15 https://doi.org/10.1103/PhysRevLett.106.153001	journal	April 2011
Problems with proton radii Sick, Ingo Progress in Particle and Nuclear Physics, Vol. 67, Issue 2 https://doi.org/10.1016/j.ppnp.2012.01.013	journal	April 2012
The PRad experiment and the proton radius puzzle Gasparian, Ashot EPJ Web of Conferences, Vol. 73 https://doi.org/10.1051/epjconf/20147307006	journal	January 2014
Final analysis of proton form factor ratio data at $Q^{2} = 4.0$ , 4.8, and 5.6 GeV $^{2}$ Puckett, A. J. R.; Brash, E. J.; Gayou, O. Physical Review C, Vol. 85, Issue 4 https://doi.org/10.1103/PhysRevC.85.045203	journal	April 2012
Measurement of GEp/GMp via polarization transfer at Q2 = 0.4 GeV /c2 Pospischil, Th.; Bartsch, P.; Baumann, D. The European Physical Journal A, Vol. 12, Issue 1 https://doi.org/10.1007/s100500170046	journal	September 2001
Review of two-photon exchange in electron scattering Arrington, J.; Blunden, P. G.; Melnitchouk, W. Progress in Particle and Nuclear Physics, Vol. 66, Issue 4 https://doi.org/10.1016/j.ppnp.2011.07.003	journal	October 2011
Frequency-comb spectroscopy of the hydrogen 1S-3S and 1S-3D transitions: Frequency-comb spectroscopy of the hydrogen 1S-3S and 1S-3D transitions Peters, Elisabeth; Yost, Dylan C.; Matveev, Arthur Annalen der Physik, Vol. 525, Issue 7 https://doi.org/10.1002/andp.201300062	journal	May 2013
New Parity-Violating Muonic Forces and the Proton Charge Radius Batell, Brian; McKeen, David; Pospelov, Maxim Physical Review Letters, Vol. 107, Issue 1 https://doi.org/10.1103/PhysRevLett.107.011803	journal	June 2011
Radiative corrections for ${(e, e}^{'} p)$ reactions at GeV energies Ent, R.; Filippone, B. W.; Makins, N. C. R. Physical Review C, Vol. 64, Issue 5 https://doi.org/10.1103/PhysRevC.64.054610	journal	October 2001
Hadronic vacuum polarization contribution to — 2 of the leptons and α(Mz) Jegerlehner, F. Nuclear Physics B - Proceedings Supplements, Vol. 51, Issue 3 https://doi.org/10.1016/S0920-5632(96)90017-1	journal	December 1996
Initial state radiation experiment at MAMI Mihovilovic, M.; Merkel, H.; Collaboration, A1 AIP Conference Proceedings https://doi.org/10.1063/1.4829406	conference	January 2013
Radiative Corrections to Electron-Proton Scattering Krass, Allan S. Physical Review, Vol. 125, Issue 6 https://doi.org/10.1103/physrev.125.2172	journal	March 1962
Towards a resolution of the proton form factor problem: New electron and positron scattering data Unknown, (:Unkn) My University https://doi.org/10.34944/dspace/5801	text	January 2015
Review of Particle Physics Group, Particle Data; Amsler, C.; Doser, M. Elsevier https://doi.org/10.5167/uzh-11249	text	January 2008
The proton radius puzzle Blau, Melissa figshare https://doi.org/10.6084/m9.figshare.7272470.v1	text	January 2018
The proton radius puzzle Blau, Melissa figshare https://doi.org/10.6084/m9.figshare.7272470	text	January 2018
How well do we know the electromagnetic form factors of the proton? Arrington, J. The European Physical Journal A, Vol. 17, Issue 3 https://doi.org/10.1140/epja/i2002-10172-y	journal	July 2003
Review of Particle Physics Tanabashi, M.; Hagiwara, K.; Hikasa, K. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2018-03100	text	January 2018
The proton radius puzzle Bonesini, Maurizio EPJ Web of Conferences, Vol. 164 https://doi.org/10.1051/epjconf/201716407048	journal	January 2017
Review of Particle Physics Beringer, J.; Arguin, J.; Barnett, R. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/phppubdb-24149	text	January 2012
CODATA Recommended Values of the Fundamental Physical Constants: 2010 Mohr, Peter J.; Taylor, Barry N.; Newell, David B. Journal of Physical and Chemical Reference Data, Vol. 41, Issue 4 https://doi.org/10.1063/1.4724320	journal	December 2012
Bayesian Methods for Parameter Estimation in Effective Field Theories Schindler, Matthias R.; Phillips, Daniel R. arXiv https://doi.org/10.48550/arxiv.0808.3643	text	January 2008
Optical frequency measurement of the 1S-3S two-photon transition in hydrogen Arnoult, Olivier; Nez, François; Julien, Lucile arXiv https://doi.org/10.48550/arxiv.1007.4794	text	January 2010
Model independent extraction of the proton charge radius from electron scattering Hill, Richard J.; Paz, Gil arXiv https://doi.org/10.48550/arxiv.1008.4619	text	January 2010
NP-hardness of Deciding Convexity of Quartic Polynomials and Related Problems Ahmadi, Amir Ali; Olshevsky, Alex; Parrilo, Pablo A. arXiv https://doi.org/10.48550/arxiv.1012.1908	text	January 2010
Model independent analysis of proton structure for hydrogenic bound states Hill, Richard J.; Paz, Gil arXiv https://doi.org/10.48550/arxiv.1103.4617	text	January 2011
Review of two-photon exchange in electron scattering Arrington, J.; Blunden, P. G.; Melnitchouk, W. arXiv https://doi.org/10.48550/arxiv.1105.0951	text	January 2011
Muonic hydrogen and the proton radius puzzle Pohl, Randolf; Gilman, Ronald; Miller, Gerald A. arXiv https://doi.org/10.48550/arxiv.1301.0905	text	January 2013
Probing New Physics with Underground Accelerators and Radioactive Sources Izaguirre, Eder; Krnjaic, Gordan; Pospelov, Maxim arXiv https://doi.org/10.48550/arxiv.1405.4864	text	January 2014
Measurement of the two-photon exchange contribution to the elastic $e^{\pm}p$ scattering cross sections at the VEPP-3 storage ring Rachek, I. A.; Arrington, J.; Dmitriev, V. F. arXiv https://doi.org/10.48550/arxiv.1411.7372	text	January 2014
QED radiative corrections to virtual Compton scattering Vanderhaeghen, M.; Friedrich, J. M.; Lhuillier, D. arXiv https://doi.org/10.48550/arxiv.hep-ph/0001100	text	January 2000
Dispersion analysis of the nucleon form factors including meson continua Belushkin, M. A.; Hammer, H. -W.; Meißner, U. -G. arXiv https://doi.org/10.48550/arxiv.hep-ph/0608337	text	January 2006
Hadronic Vacuum Polarization Contribution to g-2 of the Leptons and alpha(M_Z) Jegerlehner, F. arXiv https://doi.org/10.48550/arxiv.hep-ph/9606484	text	January 1996
Evidence for two-photon exchange contributions in electron-proton and positron-proton elastic scattering Arrington, J. arXiv https://doi.org/10.48550/arxiv.nucl-ex/0311019	text	January 2003
Radiative Corrections to Electron-Proton Scattering Maximon, L. C.; Tjon, J. A. arXiv https://doi.org/10.48550/arxiv.nucl-th/0002058	text	January 2000
Two-photon exchange in elastic electron-nucleon scattering Blunden, P. G.; Melnitchouk, W.; Tjon, J. A. arXiv https://doi.org/10.48550/arxiv.nucl-th/0506039	text	January 2005
Precise determination of low-Q nucleon electromagnetic form factors and their impact on parity-violating e-p elastic scattering Arrington, John; Sick, Ingo arXiv https://doi.org/10.48550/arxiv.nucl-th/0612079	text	January 2006

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Nucleon axial radius and muonic hydrogen—a new analysis and review Hill, Richard J.; Kammel, Peter; Marciano, William J. Reports on Progress in Physics, Vol. 81, Issue 9 https://doi.org/10.1088/1361-6633/aac190	journal	July 2018
Hyperfine structure of $P$ states in muonic deuterium Faustov, R. N.; Martynenko, A. P.; Martynenko, G. A. Physical Review A, Vol. 92, Issue 5 https://doi.org/10.1103/physreva.92.052512	journal	November 2015
Tabulation of the bound-state energies of atomic hydrogen Horbatsch, M.; Hessels, E. A. Physical Review A, Vol. 93, Issue 2 https://doi.org/10.1103/physreva.93.022513	journal	February 2016
Nucleon spin-averaged forward virtual Compton tensor at large $Q^{2}$ Hill, Richard J.; Paz, Gil Physical Review D, Vol. 95, Issue 9 https://doi.org/10.1103/physrevd.95.094017	journal	May 2017
On the $\pi\pi$ π π continuum in the nucleon form factors and the proton radius puzzle Hoferichter, M.; Kubis, B.; Ruiz de Elvira, J. The European Physical Journal A, Vol. 52, Issue 11 https://doi.org/10.1140/epja/i2016-16331-7	journal	November 2016
Proton Charge Radius from Electron Scattering Sick, Ingo Atoms, Vol. 6, Issue 1 https://doi.org/10.3390/atoms6010002	journal	December 2017
Extraction of the Proton and Electron Radii from Characteristic Atomic Lines and Entropy Principles Jiménez, Edward; Recalde, Nicolás; Chacón, Esteban Entropy, Vol. 19, Issue 7 https://doi.org/10.3390/e19070293	journal	June 2017
Codata Recommended Values Of The Fundamental Physical Constants: 2014 Mohr, Peter J.; Newell, David B.; Taylor, Barry N. Zenodo https://doi.org/10.5281/zenodo.22826	text	January 2015
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Evaluation of the strength of electron-proton scattering data for determining the proton charge radius Horbatsch, M.; Hessels, E. A. arXiv https://doi.org/10.48550/arxiv.1509.05644	text	January 2015
A tabulation of the bound-state energies of atomic hydrogen Horbatsch, M.; Hessels, E. A. arXiv https://doi.org/10.48550/arxiv.1601.01057	text	January 2016
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Axial Vector Form Factors of the Nucleon from Lattice QCD Gupta, Rajan; Jang, Yong-Chull; Lin, Huey-Wen arXiv https://doi.org/10.48550/arxiv.1705.06834	text	January 2017
Nucleon Axial Radius and Muonic Hydrogen - A New Analysis and Review Hill, Richard J.; Kammel, Peter; Marciano, William J. arXiv https://doi.org/10.48550/arxiv.1708.08462	text	January 2017
Nucleon form factors in dispersively improved Chiral Effective Field Theory II: Electromagnetic form factors Alarcón, J. M.; Weiss, C. arXiv https://doi.org/10.48550/arxiv.1710.06430	text	January 2017
Proton charge radius extraction from electron scattering data using dispersively improved chiral effective field theory Alarcón, J. M.; Higinbotham, D. W.; Weiss, C. arXiv https://doi.org/10.48550/arxiv.1809.06373	text	January 2018

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