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Breakdown of chiral expansion for parton distributions · Around

2007

Breakdown of chiral expansion for parton distributions

Kivel, N., Polyakov, M. V.

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In the framework of the chiral perturbation theory we computed two- and three-loop corrections to the pion parton distributions which posses $\delta$-function singularities at x->0.

This calculation explicitly demonstrates that in the region of small x ~ mpi^2/(4 pi F)^2 standard ChPT breaks down and one needs resummation of all orders.
We give an example of such resummation.

Built on

G. Colangelo, Phys. Lett. B 350
1995
Earlier work this paper cites.
M. V. Polyakov, Nucl. Phys. B 555
1999
Earlier work this paper cites.
M. V. Polyakov and C. Weiss, Phys. Rev. D 60
1999
Earlier work this paper cites.

Similar

J. W. Chen and X. d. Ji, Phys. Rev. Lett. 87
2001
Cited alongside, same era.
D. Arndt and M. J. Savage, Nucl. Phys. A 697
2002
Cited alongside, same era.
N. Kivel and M. V. Polyakov, arXiv:hep-ph/0203264
Cited in the paper.
N. Kivel and M. V. Polyakov, in preparation
Cited in the paper.

Then

W. Detmold, W. Melnitchouk and A. W. Thomas, Phys. Rev. D 68
Original
2003
Later among the works it cites.
M. Diehl, A. Manashov and A. Schafer, Phys. Lett. B 622
2005
Later among the works it cites.

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