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Title: Scaling Laws at Large Transverse Momentum

Abstract

The application of simple dimensional counting to bound states of pointlike particles enables us to derive scaling laws for the asymptotic energy dependence of electromagnetic and hadronic scattering at fixed c.m. angle which only depend on the number of constituent fields of the hadrons. Assuming quark constituents, some of the s→∞, fixed-ts predictions are ($$\frac{dσ}{dt}$$)πp→πp~s-8, ($$\frac{dσ}{dt}$$)pp→pp~s-10, ($$\frac{dσ}{dt}$$)γp→πp~s-7, ($$\frac{dσ}{dt}$$)γp→γp~s-6, Fπ(q2)~(q2)-1, and F1p(q2)~(q2)-2. We show that such scaling laws are characteristic of renormalizable field theories satisfying certain conditions.

Authors:
 [1];  [2]
  1. Stanford Univ., CA (United States)
  2. California Inst. of Technology (CalTech), Pasadena, CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1442900
Report Number(s):
SLAC-PUB-1290
Journal ID: ISSN 0031-9007; PRLTAO
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 31; Journal Issue: 18; 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

Brodsky, Stanley J., and Farrar, Glennys R. Scaling Laws at Large Transverse Momentum. United States: N. p., 1973. Web. doi:10.1103/PhysRevLett.31.1153.
Brodsky, Stanley J., & Farrar, Glennys R. Scaling Laws at Large Transverse Momentum. United States. doi:10.1103/PhysRevLett.31.1153.
Brodsky, Stanley J., and Farrar, Glennys R. Mon . "Scaling Laws at Large Transverse Momentum". United States. doi:10.1103/PhysRevLett.31.1153. https://www.osti.gov/servlets/purl/1442900.
@article{osti_1442900,
title = {Scaling Laws at Large Transverse Momentum},
author = {Brodsky, Stanley J. and Farrar, Glennys R.},
abstractNote = {The application of simple dimensional counting to bound states of pointlike particles enables us to derive scaling laws for the asymptotic energy dependence of electromagnetic and hadronic scattering at fixed c.m. angle which only depend on the number of constituent fields of the hadrons. Assuming quark constituents, some of the s→∞, fixed-ts predictions are ($\frac{dσ}{dt}$)πp→πp~s-8, ($\frac{dσ}{dt}$)pp→pp~s-10, ($\frac{dσ}{dt}$)γp→πp~s-7, ($\frac{dσ}{dt}$)γp→γp~s-6, Fπ(q2)~(q2)-1, and F1p(q2)~(q2)-2. We show that such scaling laws are characteristic of renormalizable field theories satisfying certain conditions.},
doi = {10.1103/PhysRevLett.31.1153},
journal = {Physical Review Letters},
number = 18,
volume = 31,
place = {United States},
year = {1973},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
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Figures / Tables:

Figure 1 Figure 1: Typical Born diagrams for large momentum transfer elastic scattering in the quark picture (a) π p → π p (quark scattering), (b) π p → π p (quark interchange), (c) e π → e π ; (d) an irreducible loop diagram, (e) a reducible loop diagram.

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Works referenced in this record:

Composite Theory of Inclusive Scattering at Large Transverse Momenta
journal, November 1972


Scaling, Duality, and the Behavior of Resonances in Inelastic Electron-Proton Scattering
journal, October 1970


Scaling Properties and the Bound-State Nature of the Physical Nucleon
journal, April 1972


Connection Between Inelastic Proton-Proton Reactions and Deep Inelastic Electron Scattering
journal, December 1970


Elastic Electron-Proton Scattering at Large Four-Momentum Transfer
journal, July 1973

  • Kirk, P. N.; Breidenbach, M.; Friedman, J. I.
  • Physical Review D, Vol. 8, Issue 1
  • DOI: 10.1103/PhysRevD.8.63

Phenomenology of Photon Processes, Vector Dominance, and Crucial Tests for Parton Models
journal, July 1972

  • Brodsky, Stanley J.; Close, Francis E.; Gunion, J. F.
  • Physical Review D, Vol. 6, Issue 1
  • DOI: 10.1103/PhysRevD.6.177

Inclusive Processes at High Transverse Momentum
journal, December 1971


Inclusive processes at high transverse momentum
journal, December 1972


t/s scaling in strong interactions
journal, November 1972


Strong Interactions at Large Transverse Momentum
journal, August 1973


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    Recent Results from the CERN LHC Experiment TOTEM: Implications for Odderon Exchange
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    Production of hadrons at large transverse momentum in 200-, 300-, and 400-GeV p p and p -nucleus collisions
    journal, February 1979


    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


    Two-body neutral final states produced in antiproton-proton annihilations at 2.911 <~ s <~ 3.686 GeV
    journal, September 1997


    Measurement of the Energy Dependence of Elastic π p and pp Scattering at Large Angles
    journal, February 1978


    Measurement of α s ( Q 2 ) from the Gross–Llewellyn Smith Sum Rule
    journal, October 1998


    Photoproduction of the ω Meson on the Proton at Large Momentum Transfer
    journal, January 2003


    Cross-Section Measurement of Charged-Pion Photoproduction from Hydrogen and Deuterium
    journal, July 2003


    Polarization Transfer in Proton Compton Scattering at High Momentum Transfer
    journal, June 2005


    Glueball masses and Regge trajectories for the QCD-inspired potential
    journal, August 2012


    Tagging diquarks by protons of high transverse momentum inpp collisions at the ISR
    journal, December 1987

    • Breakstone, A.; Campanini, R.; Crawley, H. B.
    • Zeitschrift für Physik C Particles and Fields, Vol. 36, Issue 4
    • DOI: 10.1007/bf01630594

    The status of glueballs
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    • DOI: 10.1088/1361-6633/ab0b8f

    Physics achievements from the Belle experiment
    journal, January 2012

    • Brodzicka, J.; Browder, T.; Chang, P.
    • Progress of Theoretical and Experimental Physics, Vol. 2012, Issue 1
    • DOI: 10.1093/ptep/pts072

    Global analysis of exclusive kaon and pion electroproduction
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    Bound-State Scalar Form Factor for Two Fermions within the Relativistic Quasipotential Approach
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    THE SMALL x BEHAVIOR OF THE GLUON STRUCTURE FUNCTION FROM TOTAL CROSS-SECTIONS
    journal, January 2008

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    • DOI: 10.1142/s0217751x08038019

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    • DOI: 10.1142/s0217751x16501761

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    Structure Functions of the Nucleon and Their Interpretation
    journal, August 1998

    • Cooper-Sarkar, A. M.; Devenish, R. C. E.; De Roeck, A.
    • International Journal of Modern Physics A, Vol. 13, Issue 20
    • DOI: 10.1142/s0217751x98001670

    The Meson Production in Proton–Proton Collisions in Next-To-Leading Order and Infrared Renormalons
    journal, May 2011

    • Ahmadov, A. I.; Burjaliyev, R. M.
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    • DOI: 10.1142/s0218301311018393

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    journal, June 2013

    • Aznauryan, I. G.; Bashir, A.; Braun, V. M.
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    • DOI: 10.1142/s2010194512009099

    Renormalization of Path Ordered Phase Factors and Related Hadron Operators in Gauge Field Theories
    journal, January 1986


    Tagging diquarks by protons of high transverse momentum inpp collisions at the ISR
    journal, December 1987

    • Breakstone, A.; Campanini, R.; Crawley, H. B.
    • Zeitschrift für Physik C Particles and Fields, Vol. 36, Issue 4
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    journal, January 2012

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    • DOI: 10.1093/ptep/pts072

    Electromagnetic form factors of the nucleon: New fit and analysis of uncertainties
    journal, June 2009


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    journal, January 2012


    Asymptotic form factors of hadrons and nuclei and the continuity of particle and nuclear dynamics
    journal, December 1976


    Production of hadrons at large transverse momentum in 200-, 300-, and 400-GeV p p and p -nucleus collisions
    journal, February 1979


    Measurements of the electric and magnetic form factors of the proton from Q 2 =1.75 to 8.83 (GeV/ c ) 2
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    Two-body neutral final states produced in antiproton-proton annihilations at 2.911 <~ s <~ 3.686 GeV
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    V V P form factors in resonance chiral theory and the π η η light-by-light contribution to the muon g 2
    journal, April 2014


    Measurement of the Energy Dependence of Elastic π p and pp Scattering at Large Angles
    journal, February 1978


    Quantum Chromodynamic Predictions for the Deuteron Form Factor
    journal, July 1983

    • Brodsky, Stanley J.; Ji, Chueng-Ryong; Lepage, G. P.
    • Physical Review Letters, Vol. 51, Issue 2
    • DOI: 10.1103/physrevlett.51.83

    Measurement of α s ( Q 2 ) from the Gross–Llewellyn Smith Sum Rule
    journal, October 1998


    Measurements of the Deuteron Elastic Structure Function A ( Q 2 ) for 0.7 Q 2 6.0 ( GeV / c ) 2 at Jefferson Laboratory
    journal, February 1999


    Precise Measurement of the Deuteron Elastic Structure Function A ( Q 2 )
    journal, February 1999


    Photoproduction of the ω Meson on the Proton at Large Momentum Transfer
    journal, January 2003


    Generalized Counting Rule for Hard Exclusive Processes
    journal, June 2003


    Cross-Section Measurement of Charged-Pion Photoproduction from Hydrogen and Deuterium
    journal, July 2003


    Polarization Transfer in Proton Compton Scattering at High Momentum Transfer
    journal, June 2005


    Bound-State Scalar Form Factor for Two Fermions within the Relativistic Quasipotential Approach
    journal, May 2018


    Glueball masses and Regge trajectories for the QCD-inspired potential
    journal, August 2012


    THE SMALL x BEHAVIOR OF THE GLUON STRUCTURE FUNCTION FROM TOTAL CROSS-SECTIONS
    journal, January 2008

    • Luna, E. G. S.; Natale, A. A.; Zanetti, C. M.
    • International Journal of Modern Physics A, Vol. 23, Issue 01
    • DOI: 10.1142/s0217751x08038019

    AdS/QCD, LIGHT-FRONT HOLOGRAPHY, AND THE NONPERTURBATIVE RUNNING COUPLING
    journal, November 2010

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    • International Journal of Modern Physics A, Vol. 25, Issue 27n28
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    journal, December 2016

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    journal, February 2017


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    journal, August 1998

    • Cooper-Sarkar, A. M.; Devenish, R. C. E.; De Roeck, A.
    • International Journal of Modern Physics A, Vol. 13, Issue 20
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    journal, June 2013

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    Tetraquark cusp effects from diquark pair production
    journal, May 2015


    A Survey of Polarization Asymmetries Predicted by QCD
    journal, January 1981

    • Baldracchini, F.; Craigie, N. S.; Roberto, V.
    • Fortschritte der Physik, Vol. 29, Issue 11-12
    • DOI: 10.1002/prop.19810291102

    Asymptotic behavior of the pion form factor in quantum chromodynamics
    journal, February 1980

    • Efremov, A. V.; Radyushkin, A. V.
    • Theoretical and Mathematical Physics, Vol. 42, Issue 2
    • DOI: 10.1007/bf01032111

    Inclusive interactions of high-energy neutrinos and antineutrinos in iron
    journal, June 1979

    • Groot, J. G. H.; Hansl, T.; Holder, M.
    • Zeitschrift f�r Physik C Particles and Fields, Vol. 1, Issue 2
    • DOI: 10.1007/bf01445406

    Parton densities from deep inelastic scattering to hadronic processes at super collider energies
    journal, March 1988

    • Diemoz, M.; Ferroni, F.; Longo, E.
    • Zeitschrift für Physik C Particles and Fields, Vol. 39, Issue 1
    • DOI: 10.1007/bf01560387

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    journal, January 2019

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    • Journal of High Energy Physics, Vol. 2019, Issue 1
    • DOI: 10.1007/jhep01(2019)129

    A model for pion-pion scattering in large-N QCD
    journal, April 2017

    • Veneziano, G.; Yankielowicz, S.; Onofri, E.
    • Journal of High Energy Physics, Vol. 2017, Issue 4
    • DOI: 10.1007/jhep04(2017)151

    Pseudoscalar pole light-by-light contributions to the muon (g − 2) in resonance chiral theory
    journal, June 2018

    • Guevara, A.; Roig, P.; Sanz-Cillero, J. J.
    • Journal of High Energy Physics, Vol. 2018, Issue 6
    • DOI: 10.1007/jhep06(2018)160

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    journal, July 2018


    Deep inelastic scattering and gauge/string duality
    journal, May 2003


    Deep inelastic scattering from gauge string duality in the soft wall model
    journal, March 2008

    • Bayona, C. A. Ballon; Boschi-Filho, Henrique; Braga, Nelson R. F.
    • Journal of High Energy Physics, Vol. 2008, Issue 03
    • DOI: 10.1088/1126-6708/2008/03/064

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    journal, May 2019

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    • Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 7
    • DOI: 10.1088/1361-6471/ab0b74

    Elastic electron-deuteron scattering at high energy
    journal, April 1980


    Two-body disintegration of the deuteron with 0.8–1.8 GeV photons
    journal, October 1993


    Complete angular distribution measurements of two-body deuteron photodisintegration between 0.5 and 3GeV
    journal, July 2004


    Role of diquark correlations and the pion cloud in nucleon elastic form factors
    journal, October 2014


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    journal, November 2016


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    journal, November 2017


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    journal, March 2020


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    journal, March 2020


    Analysis of particle production at large transverse momentum
    journal, December 1975


    Measurements of exclusive photoproduction processes at large values of t and u from 4 to 7.5 GeV
    journal, August 1976

    • Anderson, R. L.; Gustavson, D. B.; Ritson, D. M.
    • Physical Review D, Vol. 14, Issue 3
    • DOI: 10.1103/physrevd.14.679

    Neutral-pion photoproduction and proton Compton scattering at large angles
    journal, April 1979


    Exclusive processes in perturbative quantum chromodynamics
    journal, November 1980


    Large-angle two-photon exclusive channels in quantum chromodynamics
    journal, October 1981


    Comparison of 20 exclusive reactions at large t
    journal, January 1994


    Z scaling in hadron-hadron collisions at high energies
    journal, November 1996


    QCD factorization for semi-inclusive deep-inelastic scattering at low transverse momentum
    journal, February 2005


    Nucleon form factors in QCD
    journal, May 2006


    Generalized z -scaling in proton-proton collisions at high energies
    journal, May 2007


    Gravitational form factors of vector mesons in an AdS/QCD model
    journal, May 2008


    Hadron structure in τ K K π ν τ decays
    journal, February 2010


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    journal, January 2013


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    journal, March 2014


    Measurement of neutral current e ± p cross sections at high Bjorken x with the ZEUS detector
    journal, April 2014


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    journal, March 2015


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    journal, September 2016


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    journal, January 2017

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    Comment on Hadronic Production of Psions
    journal, May 1976


    Higgs Bosons from Two-Gluon Annihilation in Proton-Proton Collisions
    journal, March 1978


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    Comparison of exclusive reactions at large t
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    Charged-Hadron Inclusive Cross Sections and Fractions in e + e Annihilation at s = 29 GeV
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    Perturbative QCD signatures of hybrid hadrons in electroproduction at high Q 2
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    • DOI: 10.1142/s0217751x12501151

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    • DOI: 10.1142/s0217751x16300295

    Quark asymmetries in the proton from a model for parton densities
    text, January 2005


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    • Diehl, Markus; Gaunt, Jonathan R.; Lang, Daniel M.
    • Deutsches Elektronen-Synchrotron, DESY, Hamburg
    • DOI: 10.3204/pubdb-2020-00598

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