Precision determination of the pion form factor and calculation of the muon [Formula Presented]

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 65, Issue 9, 2002, Pages 23-

  de Troconiz J F ^a   Yndurain F J ^a  

^a UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85038266260     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.65.093001     Document Type: Article

References (62)

1. H. N. Brown , Phys. Rev. Lett. 86, 2227 (2001).
2. J. Bailey , Nucl. Phys. B150, 1 (1979).
3. (KNO): T. Kinoshita, B. Nizić, and Y. Okamoto, Phys. Rev. D 32, 736 (1985);
4. Phys. Rev. D(DM): S. Dubnicka and L. Martinovic, 42, 7884 (1990);
5. Phys. Rev. D(BW): D. H. Brown and W. A. Worstell, 54, 3237 (1996).
6. (CLY): A. Casas, C. López, and F. J. Ynduráin, Phys. Rev. D 32, 736 (1985);
7. (AY): K. Adel and F. J. Ynduráin, Rev. Acad. Ciencias (Esp.) 92, 113 (1998).
8. (ADH): R. Alemany, M. Davier, and A. Höcker, Eur. Phys. J. C 2, 123 (1998);
9. (DH): M. Davier and A. Höcker, Phys. Lett. B 435, 419 (1998).
10. (EJ): S. Eidelman and F. Jegerlehner, Z. Phys. C 67, 585 (1995);
11. (J): F. Jegerlehner, DESY 01-028 hep-ph/0104304, symposium in honor of A. Sirlin, New York University, 2000.
12. (N): S. Narison, Phys. Lett. B 513, 53 (2001).
13. Novosibirsk, ρ region: L. M. Barkov , Nucl. Phys. B256, 365 (1985);
14. R. R. Akhmetshin Budker INP 99-10, hep-ex/9904027.
15. Novosibirsk, ω and φ region, KK and 3π: (CMD2) R. R. Akhmetshin , Phys. Lett. B 466, 385 (1999);
16. Phys. Lett. BR. R. Akhmetshin466, 392 (1999);
17. Phys. Lett. BR. R. Akhmetshin434, 426 (1998);
18. Phys. Lett. BR. R. Akhmetshin476, 33 (2000);
19. (SND) M. N. Achasov , Phys. Rev. D 63, 072002 (2001);
20. M. N. AchasovPhys. Lett. B 462, 365 (1999);
21. Phys. Lett. B(Formula presented) M. N. Achasov , 474, 188 (2000).
22. Aleph: R. Barate , Z. Phys. C 76, 15 (1997);
23. Opal: K. Ackerstaff , Eur. Phys. J. C 7, 571 (1999).
24. NA7: S. R. Amendolia , Nucl. Phys. B277, 168 (1986).
25. BES: J. Z. Bai , hep-ex/0102003.
26. V. W. Hughes and T. Kinoshita, Rev. Mod. Phys. 71, S133 (1999).
27. S. J. Brodsky and E. de Rafael, Phys. Rev. 168, 1620 (1968).
28. B. R. Martin, D. Morgan, and G. Shaw, Pion-Pion Interactions in Particle Physics (Academic Press, New York, 1976).
29. Particle Data Group, D. E. Groom , Eur. Phys. J. C 15, 1 (2000).
30. (Formula presented) spacelike data: C. J. Bebek , Phys. Rev. D 17, 1693 (1978);
31. (Formula presented) timelike data: D. Bollini , Lett. Nuovo Cimento Soc. Ital. Fis. 14, 418 (1977);
32. A. Quenzer , Phys. Lett. 76B, 512 (1978);
33. ππ phase shifts: B. Hyams , Nucl. Phys. B64, 134 (1973);
34. S. D. Protopopescu , Phys. Rev. D 7, 1279 (1973).
35. (Formula presented) (CGL): G. Colangelo, J. Gasser, and H. Leutwyler, Nucl. Phys. B603, 125 (2001);
36. (ACGL): B. Ananthanarayan, G. Colangelo, J. Gasser, and H. Leutwyler, Phys. Rep. 353, 207 (2001);
37. (ABT): G. Amorós, J. Bijnens, and P. Talavera, Nucl. Phys. B585, 329 (2000);Erratum, LU TP 00-11, 2001;
38. (Formula presented) (Formula presented) G. Colangelo, M. Finkelmeir, and R. Urech, Phys. Rev. D 54, 4403 (1996).
39. G. J. Gounnaris and J. J. Sakurai, Phys. Rev. Lett. 21, 244 (1968).
40. KK: P. M. Ivanov , Phys. Lett. 107B, 297 (1981);
41. 3π: A. Cordier , Nucl. Phys. B172, 13 (1980);
42. Nucl. Phys.4π and more: G. Cosme , B152, 215 (1979).
43. For a review, see S. Dolinsky , Phys. Rep. C202, 99 (1991), and work quoted there. All these references give results for energies below (Formula presented) Between 2 and 9 (Formula presented),
44. see C. Bacci , Phys. Lett. 86B, 234 (1979).
45. S. Bethke, J. Phys. G 26, R27 (2000);
46. J. Santiago and F. J. Yndurain, Nucl. Phys. B611, 497 (2001);D. Strom, “Electroweak measurements on the Z resonance,” talk presented at the 5th Int. Symposium on Radiative Corrections, RadCor2000, Carmel, California, September 2000.
47. K. Adel and F. J. Ynduráin, Phys. Rev. 92, 113 (1998).
48. For a clear exposition of NRQCD calculations, see N. Brambilla, A. Pineda, J. Soto, and A. Vairo, Nucl. Phys. B566, 275 (2000).
49. S. Titard and F. J. Ynduráin, Phys. Rev. D 49, 6007 (1994), to one loop;
50. Phys. Rev. DA. Pineda and F. J. Ynduráin, 58, 094022 (1998);
51. Phys. Rev. DA. PinedaF. J. Ynduráin61, 077505 (2000), to two loops.
52. (BPP): J. Bijnens, E. Pallante, and J. Prades, Nucl. Phys. B474, 379 (1996);
53. (HKS, HK): M. Hayakawa, T. Kinoshita, and A. I. Sanda, Phys. Rev. D 54, 3137 (1996);
54. Phys. Rev. DM. Hayakawa and T. Kinoshita, 57, 465 (1998).
55. M. Knecht and A. Nyffeler, hep-ph/0111058.
56. M. Hayakawa and T. Kinoshita, hep-ph/0112102.
57. S. Laporta and E. Remiddi, Phys. Lett. B 301, 440 (1993).
58. F. Barreiro, Photon Structure, Plenary talk, Proc. Int. Europhysics Conf. on High Energy Physics, Tampere, 1999, edited by Huitu et al. (IOP, Bristol, U.K.).
59. B. Krause, Phys. Lett. B 390, 392 (1997).
60. P. Singer, Phys. Rev. 130, 2441 (1963);
61. Phys. Rev.P. Singer161, 1694(E) (1967).
62. M. N. Achasov , Phys. Lett. B 486, 29 (2000).