Lattice extraction of K → ππ amplitudes to next-to-leading order in partially quenched and in full chiral perturbation theory

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 71, Issue 1, 2005, Pages

  Laiho, Jack ^a   Soni, Amarjit ^b  

^a PRINCETON UNIVERSITY   (United States)

^b BROOKHAVEN NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AMPLITUDE MODULATION; ARTICLE; CALCULATION; CHIRALITY; EXTRACTION; KINETICS; MOLECULAR INTERACTION; QUANTUM THEORY; STRUCTURE ANALYSIS;

EID: 84927754040     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.71.014021     Document Type: Article

References (55)

1. CP-PACS Collaboration, J. I. Noaki et al., Phys. Rev. D 68, 014501 (2003).
2. RBC Collaboration, T. Blum et al., Phys. Rev. D 68, 114506 (2003).
3. NA48 Collaboration, V. Fanti et al., Phys. Lett. B 465, 335 (1999); J. R. Batley et al., Phys. Lett. B 544, 97 (2002).
4. NA48 Collaboration, V. Fanti et al., Phys. Lett. B 465, 335 (1999); J. R. Batley et al., Phys. Lett. B 544, 97 (2002).
5. KTeV Collaboration, A. Alavi-Harati et al., Phys. Rev. Lett. 83, 22 (1999); A. Alavi-Harati et al., Phys. Rev. D 67, 012005 (2003).
6. KTeV Collaboration, A. Alavi-Harati et al., Phys. Rev. Lett. 83, 22 (1999); A. Alavi-Harati et al., Phys. Rev. D 67, 012005 (2003).
7. Particle Data Group Collaboration, K. Hagiwara et al., Phys. Rev. D 66, 010001 (2002).
8. For an ongoing attempt at Re(ε1/ε) using staggered fermions see T. Bhattacharya, G. T. Fleming, G. Kilcup, R. Gupta, W. Lee, and S. Sharpe, Nucl. Phys. B, Proc. Suppl. 106311 (2002).
9. For an earlier attempt using staggered fermions, see D. Pekurovsky and G. Kilcup, Phys. Rev. D 64, 074502 (2001).
10. C. Bernard, T. Draper, A. Soni, H. D. Politzer, and M. B. Wise, Phys. Rev. D 32, 2343 (1985).
11. L. Maiani and M. Testa, Phys. Lett. B 245, 585 (1990).
12. V. Cirigliano and E. Golowich, Phys. Lett. B 475, 351 (2000); Phys. Rev. D 65, 054014 (2002).
13. V. Cirigliano and E. Golowich, Phys. Lett. B 475, 351 (2000); Phys. Rev. D 65, 054014 (2002).
14. J. Bijnens, E. Pallante, and J. Prades, Nucl. Phys. B521, 305 (1998).
15. C.-J. D. Lin, G. Martinelli, E. Pallante, C. T. Sachrajda, and G. Villadoro, Nucl. Phys. B650 301 (2003); SPQcdR Collaboration, Ph. Boucaud et al., Nucl. Phys. B, Proc. Suppl. 106, 329 (2002).
16. C.-J. D. Lin, G. Martinelli, E. Pallante, C. T. Sachrajda, and G. Villadoro, Nucl. Phys. B650 301 (2003); SPQcdR Collaboration, Ph. Boucaud et al., Nucl. Phys. B, Proc. Suppl. 106, 329 (2002).
17. Jack Laiho and Amarjit Soni, Phys. Rev. D 65 114020 (2002).
18. C. Bernard, T. Draper, G. Hockney, and A. Soni, Nucl. Phys. B, Proc. Suppl. 4, 483 (1988).
19. C. Dawson et al., Nucl. Phys. B514, 313 (1998).
20. C.-J. D. Lin, G. Martinelli, E. Pallante, C. T. Sachrajda, and G. Villadoro, Phys. Lett. B 581, 207 (2004).
21. L. Lellouch and M. Luscher, Commun. Math. Phys. 219, 31 (2001); see also C.-J. D. Lin, G. Martinelli, C. T. Sachrajda, and M. Testa, Nucl. Phys. B, Proc. Suppl. 109A, 218 (2002).
22. L. Lellouch and M. Luscher, Commun. Math. Phys. 219, 31 (2001); see also C.-J. D. Lin, G. Martinelli, C. T. Sachrajda, and M. Testa, Nucl. Phys. B, Proc. Suppl. 109A, 218 (2002).
23. Changhoan Kim and Norman H. Christ, Nucl. Phys. B, Proc. Suppl. 119, 365 (2003).
24. M. Buchler, G. Colangelo, J. Kambor, and F. Orellana, Phys. Lett. B 521, 22 (2001); G. Colangelo, Nucl. Phys. B, Proc. Suppl. 106, 53 (2002).
25. M. Buchler, G. Colangelo, J. Kambor, and F. Orellana, Phys. Lett. B 521, 22 (2001); G. Colangelo, Nucl. Phys. B, Proc. Suppl. 106, 53 (2002).
26. S. Sharpe, Phys. Rev. D 56 7052 (1997); S. Sharpe and N. Shoresh, Nucl. Phys. B, Proc. Suppl. 83, 968 (2000); Phys. Rev. D 62, 094503 (2000).
27. S. Sharpe, Phys. Rev. D 56 7052 (1997); S. Sharpe and N. Shoresh, Nucl. Phys. B, Proc. Suppl. 83, 968 (2000); Phys. Rev. D 62, 094503 (2000).
28. S. Sharpe, Phys. Rev. D 56 7052 (1997); S. Sharpe and N. Shoresh, Nucl. Phys. B, Proc. Suppl. 83, 968 (2000); Phys. Rev. D 62, 094503 (2000).
29. Maarten Golterman and Elisabetta Pallante, J. High Energy Phys. 10 (2001) 037.
30. Claude Bernard and Maarten Golterman, Phys. Rev. D 53, 476 (1996).
31. Gilberto Colangelo and Elisabetta Pallante, Nucl. Phys. B520 433 (1998).
32. M. Ciuchini, E. Franco, G. Martinelli, L. Reina, and L. Silvestrini, Z. Phys. C 68, 239 (1995).
33. G. Buchalla, A. J. Buras, and M. E. Lautenbacher, Rev. Mod. Phys. 68, 1125 (1996).
34. For a succinct introduction, see H. Georgi, Weak Interactions and Modern Particle Theory (Benjamin/Cummings, New York, 1984).
35. J. Gasser and H. Leutwyler, Ann. Phys. (N.Y.) 158, 142 (1984); Nucl. Phys. B250, 465 (1985).
36. J. Gasser and H. Leutwyler, Ann. Phys. (N.Y.) 158, 142 (1984); Nucl. Phys. B250, 465 (1985).
37. J. Kambor, J. Missimer, and D. Wyler, Nucl. Phys. B346, 17 (1990).
38. G. Ecker, J. Kambor, and D. Wyler, Nucl. Phys. B394, 101 (1993).
39. Maarten Golterman and Elisabetta Pallante, J. High Energy Phys. 08 (2000) 023.
40. Claude Bernard and Maarten Golterman, Phys. Rev. D 46, 853 (1992); C. Bernard and M. Golterman, Phys. Rev. D 49, 486 (1994).
41. Claude Bernard and Maarten Golterman, Phys. Rev. D 46, 853 (1992); C. Bernard and M. Golterman, Phys. Rev. D 49, 486 (1994).
42. P. H. Damgaard and K. Splittorff, Phys. Rev. D 62 054509 (2000).
43. Joachim Kambor, Ph.D. thesis, Swiss Federal Institute of Technology, 1990.
44. See also S. R. Sharpe, et a.l, Nucl. Phys. B286, 253 (1987).
45. L. Maiani et al., Nucl. Phys. B289, 505 (1987); S. Capitani and L. Giusti, Phys. Rev. D 64, 014506 (2001).
46. L. Maiani et al., Nucl. Phys. B289, 505 (1987); S. Capitani and L. Giusti, Phys. Rev. D 64, 014506 (2001).
47. M. Golterman and E. Pallante, Phys. Rev. D 69, 074503 (2004).
48. M. Golterman and S. Peris, Nucl. Phys. B, Proc. Suppl. 129, 311 (2004).
49. C.-J. D. Lin, G. Martinelli, E. Pallante, C. T. Sachrajda, and G. Villadoro, Phys. Lett. B 553 229 (2003).
50. M. Golterman, C.-J. D. Lin, and E. Pallante, Phys. Rev. D 69, 057503 (2004).
51. E. Pallante, A. Pich, and I. Scimemi, Nucl. Phys. B617 441 (2001).
52. RBC Collaboration, Taku Izubuchi, Nucl. Phys. B, Proc. Suppl. 119, 813 (2003).
53. R. Mertig, M. Bohm, and A. Denner, Comput. Phys. Commun. 64, 345 (1991).
54. S. Wolfram, Mathematica-A System for Doing Mathematics by Computer (Addison-Wesley, New York, 1988).
55. G. Passarino and M. Veltman, Nucl. Phys. B160, 151 (1979).