Skip to Main Content

Access Provided by Xinjiang University

Physical Review D

Access by Xinjiang University

Higher twist distribution amplitudes of the pion and electromagnetic form factor $F_{π} (Q^{2})$

Institute for Physical Problems, Baku State University, Z. Khalilov st. 23, Az-1148 Baku, Azerbaijan

^*Electronic address: agaev_shahin@yahoo.com

Phys. Rev. D 72, 074020 – Published 18 October, 2005

DOI: https://doi.org/10.1103/PhysRevD.72.074020

Abstract

The pion electromagnetic form factor is calculated within the QCD light-cone sum rule method and using a renormalon model for the higher twist distribution amplitudes (DAs). The theoretical predictions are compared with the experimental data and constraints on the pion leading and twist-4 DAs are extracted. An upper bound on the twist-4 contribution to the form factor and estimates of effects due to higher conformal spins in the pion twist-4 DAs are obtained.

Article Text

References (26)

A. V. Efremov and A. V. Radyushkin, Theor. Math. Phys. 42, 97 (1980) [Teor. Mat. Fiz. 42, 147 (1980)]; Phys. Lett. 94B, 245 (1980).
G. P. Lepage and S. J. Brodsky, Phys. Lett. B 87, 359 (1979); Phys. Rev. D 22, 2157 (1980).
V. M. Braun, G. P. Korchemsky, and D. Müller, Prog. Part. Nucl. Phys. 51, 311 (2003).
V. M. Braun and I. E. Filyanov, Z. Phys. C 48, 239 (1990).
V. L. Chernyak and A. R. Zhitnitsky, Phys. Rep. 112, 173 (1984).
P. Ball, V. M. Braun, Y. Koike, and K. Tanaka, Nucl. Phys. B529, 323 (1998).
P. Ball and V. M. Braun, Nucl. Phys. B543, 201 (1999).
P. Ball, J. High Energy Phys. 01 (1999) 010.
P. Ball, V. M. Braun, and N. Kivel, Nucl. Phys. B649, 263 (2003).
J. R. Andersen, Phys. Lett. B 475, 141 (2000).
V. M. Braun, E. Gardi, and S. Gottwald, Nucl. Phys. B685, 171 (2004).
I. I. Balitsky and V. M. Braun, Nucl. Phys. B311, 541 (1989).
V. M. Braun, S. E. Derkachov, G. P. Korchemsky, and A. N. Manashov, Nucl. Phys. B553, 355 (1999).
V. M. Braun, G. P. Korchemsky, and A. N. Manashov, Nucl. Phys. B603, 69 (2001).
V. L. Chernyak, A. R. Zhitnitsky, and I. R. Zhitnitsky, Yad. Fiz. 38, 1074 (1983) [Sov. J. Nucl. Phys. 38, 645 (1983)]; V. A. Novikov, M. A. Shifman, A. I.Vainshtein, M. B. Voloshin, and V. I. Zakharov, Nucl. Phys. B237, 525 (1984).
I. I. Balitsky, V. M. Braun, and A. V. Kolesnichenko, Nucl. Phys. B312, 509 (1989); V. M. Braun and I. E. Filyanov, Z. Phys. C 44, 157 (1989); V. L. Chernyak and I. R. Zhitnitsky, Nucl. Phys. B345, 137 (1990).
V. Braun and I. Halperin, Phys. Lett. B 328, 457 (1994).
V. M. Braun, A. Khodjamirian, and M. Maul, Phys. Rev. D 61, 073004 (2000).
J. Bijnens and A. Khodjamirian, Eur. Phys. J. C 26, 67 (2002).
S. S. Agaev, Phys. Rev. D 69, 094010 (2004).
S. S. Agaev, Phys. Rev. D 64, 014007 (2001); S. S. Agaev and N. G. Stefanis, 70, 054020 (2004).
P. Gosdzinsky and N. Kivel, Nucl. Phys. B521, 274 (1998).
M. A. Shifman, A. I. Vainstein, and V. I. Zakharov, Nucl. Phys. B147, 385 (1979); B147, 448 (1979).
C. J. Bebek et al., Phys. Rev. D 17, 1693 (1978).
J. Volmer et al., Phys. Rev. Lett. 86, 1713 (2001).
G. R. Farrar, K. Huleihel, and H. Zhang, Nucl. Phys. B349, 655 (1991); A. Schmedding and O. Yakovlev, Phys. Rev. D 62, 116002 (2000); A. P. Bakulev, S. V. Mikhailov, and N. G. Stefanis, 67, 074012 (2003).