How Bright is the Proton? A Precise Determination of the Photon Parton Distribution Function
Abstract
It has become apparent in recent years that it is important, notably for a range of physics studies at the Large Hadron Collider, to have accurate knowledge on the distribution of photons in the proton. We show how the photon parton distribution function (PDF) can be determined in a model-independent manner, using electron-proton (ep) scattering data, in effect viewing the ep → e + X process as an electron scattering off the photon field of the proton. To this end, we consider an imaginary, beyond the Standard Model process with a flavor changing photon-lepton vertex. We write its cross section in two ways: one in terms of proton structure functions, the other in terms of a photon distribution. Requiring their equivalence yields the photon distribution as an integral over proton structure functions. As a result of the good precision of ep data, we constrain the photon PDF at the level of 1%–2% over a wide range of momentum fractions.
- Authors:
-
- Univ. of California San Diego, La Jolla, CA (United States). Dept. of Physics; European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theoretical Physics Dept.
- Istituto Nazionale di Fisica Nucleare (INFN), Milano (Italy)
- European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theoretical Physics Dept.; National Centre for Scientific Research-Mixed Organizations (CNRS-UMR), Paris (France)
- 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)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); European Research Council (ERC); Simons Foundation; National Science Foundation (NSF)
- OSTI Identifier:
- 1335720
- Alternate Identifier(s):
- OSTI ID: 1423952
- Grant/Contract Number:
- sc0009919; 614577; 321133; 340281; NSF PHY11-25915
- Resource Type:
- Published Article
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Name: Physical Review Letters Journal Volume: 117 Journal Issue: 24; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Manohar, Aneesh, Nason, Paolo, Salam, Gavin P., and Zanderighi, Giulia. How Bright is the Proton? A Precise Determination of the Photon Parton Distribution Function. United States: N. p., 2016.
Web. doi:10.1103/PhysRevLett.117.242002.
Manohar, Aneesh, Nason, Paolo, Salam, Gavin P., & Zanderighi, Giulia. How Bright is the Proton? A Precise Determination of the Photon Parton Distribution Function. United States. https://doi.org/10.1103/PhysRevLett.117.242002
Manohar, Aneesh, Nason, Paolo, Salam, Gavin P., and Zanderighi, Giulia. Fri .
"How Bright is the Proton? A Precise Determination of the Photon Parton Distribution Function". United States. https://doi.org/10.1103/PhysRevLett.117.242002.
@article{osti_1335720,
title = {How Bright is the Proton? A Precise Determination of the Photon Parton Distribution Function},
author = {Manohar, Aneesh and Nason, Paolo and Salam, Gavin P. and Zanderighi, Giulia},
abstractNote = {It has become apparent in recent years that it is important, notably for a range of physics studies at the Large Hadron Collider, to have accurate knowledge on the distribution of photons in the proton. We show how the photon parton distribution function (PDF) can be determined in a model-independent manner, using electron-proton (ep) scattering data, in effect viewing the ep → e + X process as an electron scattering off the photon field of the proton. To this end, we consider an imaginary, beyond the Standard Model process with a flavor changing photon-lepton vertex. We write its cross section in two ways: one in terms of proton structure functions, the other in terms of a photon distribution. Requiring their equivalence yields the photon distribution as an integral over proton structure functions. As a result of the good precision of ep data, we constrain the photon PDF at the level of 1%–2% over a wide range of momentum fractions.},
doi = {10.1103/PhysRevLett.117.242002},
journal = {Physical Review Letters},
number = 24,
volume = 117,
place = {United States},
year = {Fri Dec 09 00:00:00 EST 2016},
month = {Fri Dec 09 00:00:00 EST 2016}
}
https://doi.org/10.1103/PhysRevLett.117.242002
Web of Science
Works referenced in this record:
Next-to-leading-order electroweak corrections to pp → W+W− → 4 leptons at the LHC
journal, June 2016
- Biedermann, B.; Billoni, M.; Denner, A.
- Journal of High Energy Physics, Vol. 2016, Issue 6
The production of a diphoton resonance via photon-photon fusion
journal, March 2016
- Harland-Lang, L. A.; Khoze, V. A.; Ryskin, M. G.
- Journal of High Energy Physics, Vol. 2016, Issue 3
New parton distribution functions from a global analysis of quantum chromodynamics
journal, February 2016
- Dulat, Sayipjamal; Hou, Tie-Jiun; Gao, Jun
- Physical Review D, Vol. 93, Issue 3
QED corrections to the Altarelli–Parisi splitting functions
journal, May 2016
- de Florian, Daniel; Sborlini, Germán F. R.; Rodrigo, Germán
- The European Physical Journal C, Vol. 76, Issue 5
Electric and magnetic form factors of the proton
journal, July 2014
- Bernauer, J. C.; Distler, M. O.; Friedrich, J.
- Physical Review C, Vol. 90, Issue 1
LHAPDF6: parton density access in the LHC precision era
journal, March 2015
- Buckley, Andy; Ferrando, James; Lloyd, Stephen
- The European Physical Journal C, Vol. 75, Issue 3
Parton distributions with QED corrections
journal, December 2013
- Ball, Richard D.; Bertone, Valerio; Carrazza, Stefano
- Nuclear Physics B, Vol. 877, Issue 2
The photon PDF of the proton
journal, September 2014
- Martin, A. D.; Ryskin, M. G.
- The European Physical Journal C, Vol. 74, Issue 9
CT14QED parton distribution functions from isolated photon production in deep inelastic scattering
journal, June 2016
- Schmidt, Carl; Pumplin, Jon; Stump, Daniel
- Physical Review D, Vol. 93, Issue 11
NNLO evolution of deep-inelastic structure functions: the non-singlet case
journal, February 2000
- van Neerven, W. L.; Vogt, A.
- Nuclear Physics B, Vol. 568, Issue 1-2
Measurement of the double-differential high-mass Drell-Yan cross section in pp collisions at s = 8 $$ \sqrt{s}=8 $$ TeV with the ATLAS detector
journal, August 2016
- Aad, G.; Abbott, B.; Abdallah, J.
- Journal of High Energy Physics, Vol. 2016, Issue 8
Electroweak Corrections to at the LHC: A Higgs Boson Background Study
journal, April 2016
- Biedermann, B.; Denner, A.; Dittmaier, S.
- Physical Review Letters, Vol. 116, Issue 16
Order α2S contributions to the deep inelastic Wilson coefficient
journal, November 1991
- van Neerven, W. L.; Zijlstra, E. B.
- Physics Letters B, Vol. 272, Issue 1-2
Manifestly covariant analysis of the QED Compton processin $ep\rightarrow e \gamma p$ and $e p \rightarrow e \gamma X $
journal, October 2003
- Mukherjee, A.; Pisano, C.
- The European Physical Journal C, Vol. 30, Issue 4
APFEL: A PDF evolution library with QED corrections
journal, June 2014
- Bertone, Valerio; Carrazza, Stefano; Rojo, Juan
- Computer Physics Communications, Vol. 185, Issue 6
W + W − pair production in proton-proton collisions: small missing terms
journal, February 2015
- Luszczak, Marta; Szczurek, Antoni; Royon, Christophe
- Journal of High Energy Physics, Vol. 2015, Issue 2
Parton distributions for the LHC run II
journal, April 2015
- Ball, Richard D.; Bertone, Valerio; Carrazza, Stefano
- Journal of High Energy Physics, Vol. 2015, Issue 4
Nature of the High Energy Particles of Penetrating Radiation and Status of Ionization and Radiation Formulae
journal, May 1934
- Williams, E. J.
- Physical Review, Vol. 45, Issue 10
Measurement of isolated photon production in deep inelastic ep scattering
journal, April 2010
- Chekanov, S.; Derrick, M.; Magill, S.
- Physics Letters B, Vol. 687, Issue 1
A Higher Order Perturbative Parton Evolution Toolkit (HOPPET)
journal, January 2009
- Salam, G. P.; Rojo, J.
- Computer Physics Communications, Vol. 180, Issue 1
Order-αs2 QCD corrections to the deep inelastic proton structure functions F2 and FL
journal, September 1992
- Zijlstra, E. B.; van Neerven, W. L.
- Nuclear Physics B, Vol. 383, Issue 3
Ausstrahlung bei St��en sehr schneller Elektronen
journal, September 1934
- Weizs�cker, C. F. v.
- Zeitschrift f�r Physik, Vol. 88, Issue 9-10
The polarized and unpolarized photon content of the nucleon
journal, July 2002
- Glück, M.; Pisano, C.; Reya, E.
- Physics Letters B, Vol. 540, Issue 1-2
Über die Theorie des Stoßes zwischen Atomen und elektrisch geladenen Teilchen
journal, December 1924
- Fermi, E.
- Zeitschrift für Physik, Vol. 29, Issue 1
NLO QCD and electroweak corrections to Z + γ production with leptonic Z-boson decays
journal, February 2016
- Denner, Ansgar; Dittmaier, Stefan; Hecht, Markus
- Journal of High Energy Physics, Vol. 2016, Issue 2
Production of supersymmetric particles in elastic ep collisions
journal, May 1989
- Drees, M.; Zeppenfeld, D.
- Physical Review D, Vol. 39, Issue 9
Parton distributions in the LHC era: MMHT 2014 PDFs
journal, May 2015
- Harland-Lang, L. A.; Martin, A. D.; Motylinski, P.
- The European Physical Journal C, Vol. 75, Issue 5
Power corrections in the longitudinal and transverse structure functions of proton and deuteron
journal, August 1999
- Ricco, G.; Simula, S.; Battaglieri, M.
- Nuclear Physics B, Vol. 555, Issue 1-2
A parametrization of above the resonance region for Q2⪖0
journal, October 1991
- Abramowicz, H.; Levin, E. M.; Levy, A.
- Physics Letters B, Vol. 269, Issue 3-4
Kinematically complete measurement of the proton structure function in the resonance region and evaluation of its moments
journal, May 2003
- Osipenko, M.; Ricco, G.; Taiuti, M.
- Physical Review D, Vol. 67, Issue 9
The three-loop splitting functions in QCD: the singlet case
journal, July 2004
- Vogt, A.; Moch, S.; Vermaseren, J. A. M.
- Nuclear Physics B, Vol. 691, Issue 1-2
QCD and electroweak corrections to production with -boson leptonic decays at the LHC
journal, July 2016
- Wang, Yong; Zhang, Ren-You; Ma, Wen-Gan
- Physical Review D, Vol. 94, Issue 1
NNLO evolution of deep-inelastic structure functions: the singlet case
journal, November 2000
- van Neerven, W. L.; Vogt, A.
- Nuclear Physics B, Vol. 588, Issue 1-2
The two-photon particle production mechanism. Physical problems. Applications. Equivalent photon approximation
journal, January 1975
- Budnev, V. M.; Ginzburg, I. F.; Meledin, G. V.
- Physics Reports, Vol. 15, Issue 4
On the photon constituency of protons
journal, April 1999
- De Rújula, A.; Vogelsang, W.
- Physics Letters B, Vol. 451, Issue 3-4
Two-photon dilepton production in proton-proton collisions: Two alternative approaches
journal, April 2016
- Łuszczak, Marta; Schäfer, Wolfgang; Szczurek, Antoni
- Physical Review D, Vol. 93, Issue 7
Empirical fit to precision inclusive electron-proton cross sections in the resonance region
journal, May 2010
- Christy, M. E.; Bosted, P. E.
- Physical Review C, Vol. 81, Issue 5
PDF4LHC recommendations for LHC Run II
journal, January 2016
- Butterworth, Jon; Carrazza, Stefano; Cooper-Sarkar, Amanda
- Journal of Physics G: Nuclear and Particle Physics, Vol. 43, Issue 2
Electroweak corrections to Higgs-strahlung off W/Z bosons at the Tevatron and the LHC with Hawk
journal, March 2012
- Denner, Ansgar; Dittmaier, Stefan; Kallweit, Stefan
- Journal of High Energy Physics, Vol. 2012, Issue 3
Measurement of the transverse momentum and $$\phi ^*_{\eta }$$ ϕ η ∗ distributions of Drell–Yan lepton pairs in proton–proton collisions at $$\sqrt{s}=8$$ s = 8 TeV with the ATLAS detector
journal, May 2016
- Aad, G.; Abbott, B.; Abdallah, J.
- The European Physical Journal C, Vol. 76, Issue 5
HAWK 2.0: A Monte Carlo program for Higgs production in vector-boson fusion and Higgs strahlung at hadron colliders
journal, October 2015
- Denner, Ansgar; Dittmaier, Stefan; Kallweit, Stefan
- Computer Physics Communications, Vol. 195
The impact of the photon PDF and electroweak corrections on $$t \bar{t}$$ t t ¯ distributions
journal, August 2016
- Pagani, D.; Tsinikos, I.; Zaro, M.
- The European Physical Journal C, Vol. 76, Issue 9
The photon PDF in events with rapidity gaps
journal, May 2016
- Harland-Lang, L. A.; Khoze, V. A.; Ryskin, M. G.
- The European Physical Journal C, Vol. 76, Issue 5
Fully Differential Vector-Boson-Fusion Higgs Production at Next-to-Next-to-Leading Order
journal, August 2015
- Cacciari, Matteo; Dreyer, Frédéric A.; Karlberg, Alexander
- Physical Review Letters, Vol. 115, Issue 8
Electroweak and QCD corrections to Higgs production via vector-boson fusion at the CERN LHC
journal, January 2008
- Ciccolini, M.; A., Denner; S., Dittmaier
- Physical Review D, Vol. 77, Issue 1
KRONOS — A Monte Carlo event generator for higher order electromagnetic radiative corrections to deep inelastic scattering at HERA
journal, May 1992
- Anlauf, Harald; Dahmen, Hans D.; Manakos, Panagiotis
- Computer Physics Communications, Vol. 70, Issue 1
Parton distributions incorporating QED contributions
journal, February 2005
- Martin, A. D.; Roberts, R. G.; Stirling, W. J.
- The European Physical Journal C, Vol. 39, Issue 2
Vector-Boson Fusion Higgs Production at Three Loops in QCD
journal, August 2016
- Dreyer, Frédéric A.; Karlberg, Alexander
- Physical Review Letters, Vol. 117, Issue 7
Inclusive measurements of inelastic electron and positron scattering from unpolarized hydrogen and deuterium targets
journal, May 2011
- Airapetian, A.; Akopov, N.; Akopov, Z.
- Journal of High Energy Physics, Vol. 2011, Issue 5
The three-loop splitting functions in QCD: the non-singlet case
journal, June 2004
- Moch, S.; Vermaseren, J. A. M.; Vogt, A.
- Nuclear Physics B, Vol. 688, Issue 1-2