Extraction of the proton radius from electron-proton scattering data

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

doi:10.1103/physrevd.92.013013

Cited by 149 publications

(251 citation statements)

References 106 publications

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“…For a discussion of Born form factor extraction from experimental data, see Ref. [6]. A comparison to other conventions in the literature for Born form factors is given in Appendix B.…”

Section: B One Loop Matchingmentioning

confidence: 99%

“…1 The effective field theory separates physics at the hard scale, with particle virtualities p 2 ∼ M 2 , from physics at the soft scale, p 2 ∼ (∆E) 2 , and enables the resummation of large logarithms, log(M/∆E) 1 using renormalization group methods. We give a field-theoretic justification for the conventional separation between on-shell and Born form factors [6].…”

Section: Heavy Particlementioning

confidence: 99%

“…Such large logarithms have been studied in a variety of frameworks for applications involving massless fermions [36][37][38]. 6 The presence of a fermion mass m provides a physical cutoff in the collinear integrals, and we proceed as follows to isolate the large logarithms and provide an operator definition of separate "jet" (J) and "remainder" (R) functions. This factorization of the JR function is obtained by considering an intermediate theory in which the electron is dynamical inside closed loops, but where the valence electron is treated as a heavy particle field.…”

Section: Factorization Of Jet and Remainder Functionmentioning

confidence: 99%

“…The analysis of Ref. [6] included a critical examination of experimental systematic errors and a rigorous treatment of theoretical uncertainty associated with form factor shape [8,9]. When applied to the entire Q 2 range of the Mainz dataset, this treatment reinforces the anomaly with muonic hydrogen.…”

Section: Introductionmentioning

confidence: 99%

“…A recent analysis of global electron-proton scattering data by the author with Lee and Arrington [6] obtained r E = 0.895 (20) fm from the high statistics 2010 Mainz A1 dataset [7], and r E = 0.916 (24) fm from other world data. A naive average of these results gives r E = 0.904 (15) fm, significantly larger than the muonic hydrogen determination r E (µH) = 0.84087 (39) fm.…”

Section: Introductionmentioning

confidence: 99%

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Effective field theory for large logarithms in radiative corrections to electron proton scattering

Hill

2017

Phys. Rev. D

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Radiative corrections to elastic electron-proton scattering are analyzed in effective field theory.A new factorization formula identifies all sources of large logarithms in the limit of large momentum transfer, Q 2 m 2 e . Explicit matching calculations are performed through two-loop order. A renormalization analysis in soft-collinear effective theory is performed to systematically compute and resum large logarithms. Implications for the extraction of charge radii and other observables from scattering data are discussed. The formalism may be applied to other lepton-nucleon scattering and e + e − annihilation processes.

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“…For a discussion of Born form factor extraction from experimental data, see Ref. [6]. A comparison to other conventions in the literature for Born form factors is given in Appendix B.…”

Section: B One Loop Matchingmentioning

confidence: 99%

Section: Heavy Particlementioning

confidence: 99%

Section: Factorization Of Jet and Remainder Functionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effective field theory for large logarithms in radiative corrections to electron proton scattering

Hill

2017

Phys. Rev. D

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Leptons in the proton

Buonocore

Nason

Tramontano

et al. 2020

J. High Energ. Phys.

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As is the case for all light coloured Standard Model particles, also photons and charged leptons appear as constituents in ultrarelativistic hadron beams, and admit a parton density function (PDF). It has been shown recently that the photon PDF can be given in terms of the structure functions and form factors for electron-proton scattering. The same holds for lepton PDFs. In the present work we set up a calculation of the lepton PDFs at next-to-leading order, using the same data input needed in the photon case. A precise knowledge of the lepton densities allows us to study lepton-initiated processes even at a hadron collider, with all possible combinations of same-charge, opposite-charge, same-flavour, different-flavour leptons and leptons-quarks, most of which cannot be realized in any other forseable experiment. The lepton densities in the proton are extremely small, so that their contribution to Standard Model processes is generally shadowed by processes initiated by coloured partons. We will show, however, that there are cases where these processes can be relevant, giving rise to rare Standard Model signatures and to new production channels, that can enlarge the discovery potential of New Physics at the LHC and future high energy colliders with hadrons in the initial state.

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The photon content of the proton

Manohar

Nason

Salam

et al. 2017

J. High Energ. Phys.

227

280

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The photon PDF of the proton is needed for precision comparisons of LHC cross sections with theoretical predictions. In a recent paper, we showed how the photon PDF could be determined in terms of the electromagnetic proton structure functions F 2 and F L measured in electron-proton scattering experiments, and gave an explicit formula for the PDF including all terms up to next-to-leading order. In this paper we give details of the derivation. We obtain the photon PDF using the factorisation theorem and applying it to suitable BSM hard scattering processes. We also obtain the same PDF in a processindependent manner using the usual definition of PDFs in terms of light-cone Fourier transforms of products of operators. We show how our method gives an exact representation for the photon PDF in terms of F 2 and F L , valid to all orders in QED and QCD, and including all non-perturbative corrections. This representation is then used to give an explicit formula for the photon PDF to one order higher than our previous result. We also generalise our results to obtain formulae for the polarised photon PDF, as well as the photon TMDPDF. Using our formula, we derive the P γi subset of DGLAP splitting functions to order αα s and α 2 , which agree with known results. We give a detailed explanation of the approach that we follow to determine a photon PDF and its uncertainty within the above framework.

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Extraction of the proton radius from electron-proton scattering data

Cited by 149 publications

References 106 publications

Effective field theory for large logarithms in radiative corrections to electron proton scattering

Effective field theory for large logarithms in radiative corrections to electron proton scattering

Leptons in the proton

The photon content of the proton

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