Built on

M. Diehl and P. Stienemeier, Gluons and sea quarks in the proton at low scales, Eur. Phys. J. Plus 135
Original
1904
Earlier work this paper cites.
B. Joó, J. Karpie, K. Orginos, A. Radyushkin, D. Richards, and S. Zafeiropoulos, Parton Distribution Functions from Ioffe time pseudo-distributions, JHEP 12
Original
1908
Earlier work this paper cites.
T.-J. Hou et al. , New CTEQ global analysis of quantum chromodynamics with high-precision data from the LHC, Phys. Rev. D 103
Original
1912
Earlier work this paper cites.
K. G. Wilson, Nonlagrangian models of current algebra, Phys. Rev. 179
1969
Earlier work this paper cites.
J. B. Kogut and D. E. Soper, Quantum electrodynamics in the infinite momentum frame, Phys. Rev. D1
1970
Earlier work this paper cites.
C. Bouchiat, P. Fayet, and P. Meyer, Galilean invariance in the infinite momentum frame and the parton model, Nucl. Phys. B34
1971
Earlier work this paper cites.
R. P. Feynman, Photon-Hadron Interactions (Benjamin, Reading, MA, 1972)
1972
Earlier work this paper cites.
W. Zimmermann, Normal products and the short distance expansion in the perturbation theory of renormalizable interactions, Ann. Phys. 77
1973
Earlier work this paper cites.
K. G. Wilson, Quantum field theory models in less than 4 dimensions, Phys. Rev. D7
1973
Earlier work this paper cites.
A. De Rújula, H. Georgi, and S. L. Glashow, Hadron Masses in a Gauge Theory, Phys. Rev. D 12
1975
Earlier work this paper cites.
D. E. Soper, The Parton Model and the Bethe-Salpeter Wave Function, Phys. Rev. D 15
1977
Earlier work this paper cites.
H. Politzer, Gluon Corrections to Drell-Yan Processes, Nucl. Phys. B 129
1977
Earlier work this paper cites.
D. E. Soper, Partons and their transverse momenta in QCD, Phys. Rev. Lett. 43
1979
Earlier work this paper cites.
R. K. Ellis, H. Georgi, M. Machacek, H. D. Politzer, and G. G. Ross, Perturbation theory and the parton model in QCD, Nucl. Phys. B152
1979
Earlier work this paper cites.

Similar

J. C. Collins, Intrinsic transverse momentum. Nongauge theories, Phys. Rev. D 21
1980
Cited alongside, same era.
G. Curci, W. Furmanski, and R. Petronzio, Evolution of parton densities beyond leading order: The nonsinglet case, Nucl. Phys. B175
1980
Cited alongside, same era.
G. P. Lepage and S. J. Brodsky, Exclusive processes in perturbative quantum chromodynamics, Phys. Rev. D22
1980
Cited alongside, same era.
J. C. Collins and D. E. Soper, Parton distribution and decay functions, Nucl. Phys. B194
1982
Cited alongside, same era.
K. G. Chetyrkin and F. V. Tkachov, Infrared R R -operation and ultraviolet counterterms in the MS scheme, Phys. Lett. B 114
1982
Cited alongside, same era.
K. G. Chetyrkin and V. A. Smirnov, R ∗ R^{*} -Operation corrected, Phys. Lett. B 144

Then

M. Bhat, K. Cichy, M. Constantinou, and A. Scapellato, Flavor nonsinglet parton distribution functions from lattice QCD at physical quark masses via the pseudodistribution approach, Phys. Rev. D 103
Original
2005
Later among the works it cites.
A. Candido, S. Forte, and F. Hekhorn, Can MS ¯ \overline{\mathrm{MS}} parton distributions be negative?, JHEP 11
Original
2006
Later among the works it cites.
R. Thorne, A Variable-flavor number scheme for next-to-next-to-leading order, Phys. Rev. D 73
2006
Later among the works it cites.
A. Martin, W. Stirling, R. Thorne, and G. Watt, Parton distributions for the LHC, Eur. Phys. J. C63
Original
2009
Later among the works it cites.
M. Constantinou, The x x -dependence of hadronic parton distributions: A review on the progress of lattice QCD, Eur. Phys. J. A 57

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2021

Positivity and renormalization of parton densities

Collins, John, Rogers, Ted C., Sato, Nobuo

Understand

There have been recent debates about whether $\overline{\text{MS}}$ parton densities exactly obey positivity bounds (including the Soffer bound), and whether the bounds should be applied as a constraint on global fits to parton densities and on nonperturbative calculations.

A recent paper (JHEP ${\bf \text{11}}$ (2020) 129) appears to provide a proof of positivity in contradiction with earlier work by other authors.
We examine their derivation and find that its primary failure is in the apparently uncontroversial statement that bare pdfs are always positive.
We show that under the conditions used in the derivation, that statement fails.

Built on

M. Diehl and P. Stienemeier, Gluons and sea quarks in the proton at low scales, Eur. Phys. J. Plus 135
Original
1904
Earlier work this paper cites.
B. Joó, J. Karpie, K. Orginos, A. Radyushkin, D. Richards, and S. Zafeiropoulos, Parton Distribution Functions from Ioffe time pseudo-distributions, JHEP 12
Original
1908
Earlier work this paper cites.
T.-J. Hou et al. , New CTEQ global analysis of quantum chromodynamics with high-precision data from the LHC, Phys. Rev. D 103
Original
1912
Earlier work this paper cites.
K. G. Wilson, Nonlagrangian models of current algebra, Phys. Rev. 179
1969
Earlier work this paper cites.
J. B. Kogut and D. E. Soper, Quantum electrodynamics in the infinite momentum frame, Phys. Rev. D1
1970
Earlier work this paper cites.
C. Bouchiat, P. Fayet, and P. Meyer, Galilean invariance in the infinite momentum frame and the parton model, Nucl. Phys. B34
1971
Earlier work this paper cites.
R. P. Feynman, Photon-Hadron Interactions (Benjamin, Reading, MA, 1972)
1972
Earlier work this paper cites.
W. Zimmermann, Normal products and the short distance expansion in the perturbation theory of renormalizable interactions, Ann. Phys. 77
1973
Earlier work this paper cites.
K. G. Wilson, Quantum field theory models in less than 4 dimensions, Phys. Rev. D7
1973
Earlier work this paper cites.
A. De Rújula, H. Georgi, and S. L. Glashow, Hadron Masses in a Gauge Theory, Phys. Rev. D 12
1975
Earlier work this paper cites.
D. E. Soper, The Parton Model and the Bethe-Salpeter Wave Function, Phys. Rev. D 15
1977
Earlier work this paper cites.
H. Politzer, Gluon Corrections to Drell-Yan Processes, Nucl. Phys. B 129
1977
Earlier work this paper cites.
D. E. Soper, Partons and their transverse momenta in QCD, Phys. Rev. Lett. 43
1979
Earlier work this paper cites.
R. K. Ellis, H. Georgi, M. Machacek, H. D. Politzer, and G. G. Ross, Perturbation theory and the parton model in QCD, Nucl. Phys. B152
1979
Earlier work this paper cites.

Similar

J. C. Collins, Intrinsic transverse momentum. Nongauge theories, Phys. Rev. D 21
1980
Cited alongside, same era.
G. Curci, W. Furmanski, and R. Petronzio, Evolution of parton densities beyond leading order: The nonsinglet case, Nucl. Phys. B175
1980
Cited alongside, same era.
G. P. Lepage and S. J. Brodsky, Exclusive processes in perturbative quantum chromodynamics, Phys. Rev. D22
1980
Cited alongside, same era.
J. C. Collins and D. E. Soper, Parton distribution and decay functions, Nucl. Phys. B194
1982
Cited alongside, same era.
K. G. Chetyrkin and F. V. Tkachov, Infrared R R -operation and ultraviolet counterterms in the MS scheme, Phys. Lett. B 114
1982
Cited alongside, same era.
K. G. Chetyrkin and V. A. Smirnov, R ∗ R^{*} -Operation corrected, Phys. Lett. B 144

Then

M. Bhat, K. Cichy, M. Constantinou, and A. Scapellato, Flavor nonsinglet parton distribution functions from lattice QCD at physical quark masses via the pseudodistribution approach, Phys. Rev. D 103
Original
2005
Later among the works it cites.
A. Candido, S. Forte, and F. Hekhorn, Can MS ¯ \overline{\mathrm{MS}} parton distributions be negative?, JHEP 11
Original
2006
Later among the works it cites.
R. Thorne, A Variable-flavor number scheme for next-to-next-to-leading order, Phys. Rev. D 73
2006
Later among the works it cites.
A. Martin, W. Stirling, R. Thorne, and G. Watt, Parton distributions for the LHC, Eur. Phys. J. C63
Original
2009
Later among the works it cites.
M. Constantinou, The x x -dependence of hadronic parton distributions: A review on the progress of lattice QCD, Eur. Phys. J. A 57

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

1984

Cited alongside, same era.

V. A. Smirnov and K. G. Chetyrkin, R ∗ R^{*} operation in the minimal subtraction scheme, Theor. Math. Phys. 63

1985

Cited alongside, same era.

J. Soffer, Positivity constraints for spin dependent parton distributions, Phys. Rev. Lett. 74

1995

Cited alongside, same era.

G. R. Goldstein, R. Jaffe, and X.-D. Ji, Soffer’s inequality, Phys. Rev. D 52

1995

Cited alongside, same era.

V. Barone, On the QCD evolution of the transversity distribution, Phys. Lett. B 409

1997

Cited alongside, same era.

M. Buza, Y. Matiounine, J. Smith, and W. L. van Neerven, Charm electroproduction viewed in the variable flavor number scheme versus fixed order perturbation theory, Eur. Phys. J. C 1

1998

Cited alongside, same era.

J. C. Collins, Hard-scattering factorization with heavy quarks: A general treatment, Phys. Rev. D58

1998

Cited alongside, same era.

Original

2010

Later among the works it cites.

D. Gaskell, Recent results in DIS from Jefferson Lab, PoS DIS12010

2010

Later among the works it cites.

J. C. Collins, Foundations of Perturbative QCD (Cambridge University Press, Cambridge, 2011)