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Title: The photon content of the proton

Abstract

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 F2 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 process-independent 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 F2 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 formulæ for the polarised photon PDF, as well as the photon TMDPDF. Using our formula, we derive the Pγi subset ofmore » DGLAP splitting functions to order αα s and α2, 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.« less

Authors:
 [1];  [2];  [3];  [4]
  1. Univ. of California, San Diego, CA (United States). Dept. of Physics
  2. Univ. of Milano-Bicocca, Milan (Italy); National Inst. of Nuclear Physics (INFN), Milan (Italy)
  3. European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theoretical Physics Dept.
  4. European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theoretical Physics Dept.; Univ. of Oxford (United Kingdom). Rudolf Peierls Centre for Theoretical Physics
Publication Date:
Research Org.:
Univ. of California, San Diego, CA (United States); European Organization for Nuclear Research (CERN), Geneva (Switzerland)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); Simons Foundation (United States); European Research Council (ERC)
OSTI Identifier:
1505128
Grant/Contract Number:  
SC0009919; PHY11-25915; 340281; 614577; 321133
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 12; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; deep inelastic scattering (phenomenology); QCD phenomenology

Citation Formats

Manohar, Aneesh V., Nason, Paolo, Salam, Gavin P., and Zanderighi, Giulia. The photon content of the proton. United States: N. p., 2017. Web. doi:10.1007/jhep12(2017)046.
Manohar, Aneesh V., Nason, Paolo, Salam, Gavin P., & Zanderighi, Giulia. The photon content of the proton. United States. https://doi.org/10.1007/jhep12(2017)046
Manohar, Aneesh V., Nason, Paolo, Salam, Gavin P., and Zanderighi, Giulia. Mon . "The photon content of the proton". United States. https://doi.org/10.1007/jhep12(2017)046. https://www.osti.gov/servlets/purl/1505128.
@article{osti_1505128,
title = {The photon content of the proton},
author = {Manohar, Aneesh V. and Nason, Paolo and Salam, Gavin P. and Zanderighi, Giulia},
abstractNote = {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 F2 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 process-independent 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 F2 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 formulæ for the polarised photon PDF, as well as the photon TMDPDF. Using our formula, we derive the Pγi subset of DGLAP splitting functions to order αα s and α2, 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.},
doi = {10.1007/jhep12(2017)046},
journal = {Journal of High Energy Physics (Online)},
number = 12,
volume = 2017,
place = {United States},
year = {Mon Dec 11 00:00:00 EST 2017},
month = {Mon Dec 11 00:00:00 EST 2017}
}

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