Precise determination of the I=2 ππ scattering length from mixed-action lattice QCD

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 77, Issue 1, 2008, Pages

  Beane, Silas R ^a   Luu, Thomas C ^b   Orginos, Kostas ^c,d   Parreño, Assumpta ^e   Savage, Martin J ^f   Torok, Aaron ^a   Walker Loud, André ^g  

^a University of New Hampshire   (United States)

^b LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

^c William and Mary   (United States)

^d THOMAS JEFFERSON NATIONAL ACCELERATOR FACILITY   (United States)

^e UNIVERSITY OF BARCELONA   (Spain)

^f UNIVERSITY OF WASHINGTON   (United States)

^g University of Maryland   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 38349170102     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.77.014505     Document Type: Article

References (88)

1. S. Weinberg, Phys. Rev. Lett. 17, 616 (1966). PRLTAO 0031-9007 10.1103/PhysRevLett.17.616
2. J. Gasser and H. Leutwyler, Ann. Phys. (N.Y.) APNYA6 0003-4916 158, 142 (1984). 10.1016/0003-4916(84)90242-2
3. J. Bijnens, G. Colangelo, G. Ecker, J. Gasser, and M.E. Sainio, Phys. Lett. B 374, 210 (1996). PYLBAJ 0370-2693 10.1016/0370-2693(96)00165-7
4. J. Bijnens, G. Colangelo, G. Ecker, J. Gasser, and M.E. Sainio, Nucl. Phys. NUPBBO 0550-3213 B508, 263 (1997); 10.1016/S0550-3213(97)00621-4
5. J. Bijnens G. Colangelo G. Ecker J. Gasser M.E. Sainio Nucl. Phys. NUPBBO 0550-3213 B517, 639(E) (1998). 10.1016/S0550-3213(98)00127-8
6. S. Pislak (BNL-E865 Collaboration), Phys. Rev. Lett. 87, 221801 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.221801
7. S. Pislak, Phys. Rev. D 67, 072004 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.072004
8. B. Adeva (DIRAC Collaboration), Phys. Lett. B 619, 50 (2005). PYLBAJ 0370-2693 10.1016/j.physletb.2005.05.045
9. J.R. Batley (NA48/2 Collaboration), Phys. Lett. B 633, 173 (2006). PYLBAJ 0370-2693 10.1016/j.physletb.2005.11.087
10. G. Colangelo, J. Gasser, and H. Leutwyler, Nucl. Phys. NUPBBO 0550-3213 B603, 125 (2001). 10.1016/S0550-3213(01)00147-X
11. H. Leutwyler, arXiv:hep-ph/0612112.
12. S.M. Roy, Phys. Lett. 36B, 353 (1971). PYLBAJ 0370-2693 10.1016/0370-2693(71)90724-6
13. J.L. Basdevant, C.D. Froggatt, and J.L. Petersen, Nucl. Phys. NUPBBO 0550-3213 B72, 413 (1974). 10.1016/0550-3213(74)90152-7
14. B. Ananthanarayan, G. Colangelo, J. Gasser, and H. Leutwyler, Phys. Rep. PRPLCM 0370-1573 353, 207 (2001). 10.1016/S0370-1573(01)00009-6
15. I. Caprini, G. Colangelo, and H. Leutwyler, Phys. Rev. Lett. 96, 132001 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.132001
16. C. Aubin (MILC Collaboration), Phys. Rev. D 70, 114501 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.70.114501
17. C. Bernard (MILC Collaboration), Proc. Sci. LAT2006 (2006) 163 [arXiv:hep-lat/0609053]. 1824-8039
18. L. Maiani and M. Testa, Phys. Lett. B 245, 585 (1990). PYLBAJ 0370-2693 10.1016/0370-2693(90)90695-3
19. K. Huang and C.N. Yang, Phys. Rev. 105, 767 (1957). PHRVAO 0031-899X 10.1103/PhysRev.105.767
20. H.W. Hamber, E. Marinari, G. Parisi, and C. Rebbi, Nucl. Phys. NUPBBO 0550-3213 B225, 475 (1983). 10.1016/0550-3213(83)90528-X
21. M. Lüscher, Commun. Math. Phys. 105, 153 (1986). CMPHAY 0010-3616 10.1007/BF01211097
22. M. Lüscher, Nucl. Phys. NUPBBO 0550-3213 B354, 531 (1991). 10.1016/0550-3213(91)90366-6
23. S.R. Beane, P.F. Bedaque, A. Parreño, and M.J. Savage, Phys. Lett. B 585, 106 (2004). PYLBAJ 0370-2693 10.1016/j.physletb.2004.02.007
24. S.R. Sharpe, R. Gupta, and G.W. Kilcup, Nucl. Phys. NUPBBO 0550-3213 B383, 309 (1992). 10.1016/0550-3213(92)90681-Z
25. R. Gupta, A. Patel, and S.R. Sharpe, Phys. Rev. D 48, 388 (1993). PRVDAQ 0556-2821 10.1103/PhysRevD.48.388
26. Y. Kuramashi, M. Fukugita, H. Mino, M. Okawa, and A. Ukawa, Phys. Rev. Lett. 71, 2387 (1993). PRLTAO 0031-9007 10.1103/PhysRevLett.71.2387
27. Y. Kuramashi, M. Fukugita, H. Mino, M. Okawa, and A. Ukawa, arXiv:hep-lat/9312016.
28. M. Fukugita, Y. Kuramashi, H. Mino, M. Okawa, and A. Ukawa, Phys. Rev. Lett. 73, 2176 (1994). PRLTAO 0031-9007 10.1103/PhysRevLett.73.2176
29. C. Gattringer, D. Hierl, and R. Pullirsch (Bern-Graz-Regensburg Collaboration), Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 140, 308 (2005). 10.1016/j.nuclphysbps.2004.11.324
30. M. Fukugita, Y. Kuramashi, M. Okawa, H. Mino, and A. Ukawa, Phys. Rev. D 52, 3003 (1995). PRVDAQ 0556-2821 10.1103/PhysRevD.52.3003
31. H.R. Fiebig, K. Rabitsch, H. Markum, and A. Mihaly, Few-Body Syst. FBSYEQ 0177-7963 29, 95 (2000). 10.1007/s006010070011
32. S. Aoki (JLQCD Collaboration), Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 83, 241 (2000).
33. C. Liu, J.-h. Zhang, Y. Chen, and J.P. Ma, arXiv:hep-lat/0109010.
34. C. Liu, J.-h. Zhang, Y. Chen, and J.P. Ma, Nucl. Phys. NUPBBO 0550-3213 B624, 360 (2002). 10.1016/S0550-3213(01)00662-9
35. S. Aoki (CP-PACS Collaboration), Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 106, 230 (2002). 10.1016/S0920-5632(01)01672-3
36. S. Aoki (JLQCD Collaboration), Phys. Rev. D 66, 077501 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.66.077501
37. S. Aoki (CP-PACS Collaboration), Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 119, 311 (2003). 10.1016/S0920-5632(03)01527-5
38. S. Aoki (CP-PACS Collaboration), Phys. Rev. D 67, 014502 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.014502
39. K.J. Juge (BGR Collaboration), Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 129, 194 (2004). 10.1016/S0920-5632(03)02527-1
40. N. Ishizuka and T. Yamazaki, Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 129, 233 (2004). 10.1016/S0920-5632(03)02540-4
41. S. Aoki (CP-PACS Collaboration), Phys. Rev. D 71, 094504 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.094504
42. S. Aoki (CP-PACS Collaboration), Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 140, 305 (2005). 10.1016/j.nuclphysbps.2004.11.143
43. X. Li (CLQCD Collaboration), J. High Energy Phys. JHEPFG 1029-8479 06 (2007) 053.
44. T. Yamazaki (CP-PACS Collaboration), Phys. Rev. D 70, 074513 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.70.074513
45. S.R. Beane, P.F. Bedaque, K. Orginos, and M.J. Savage, Phys. Rev. D 73, 054503 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.054503
46. J.W. Chen, D. O'Connell, R.S. Van de Water, and A. Walker-Loud, Phys. Rev. D 73, 074510 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.074510
47. J.W. Chen, D. O'Connell, and A. Walker-Loud, Phys. Rev. D 75, 054501 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.75.054501
48. D.B. Renner, Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 140, 255 (2005). 10.1016/j.nuclphysbps.2004.11.357
49. R.G. Edwards, Proc. Sci. LAT2005 (2005) 056. 1824-8039
50. K. Orginos, D. Toussaint, and R.L. Sugar, Phys. Rev. D 60, 054503 (1999). PRVDAQ 0556-2821 10.1103/PhysRevD.60.054503
51. K. Orginos and D. Toussaint, Phys. Rev. D 59, 014501 (1998). PRVDAQ 0556-2821 10.1103/PhysRevD.59.014501
52. C.W. Bernard, Phys. Rev. D 64, 054506 (2001). PRVDAQ 0556-2821 10.1103/PhysRevD.64.054506
53. A. Hasenfratz and F. Knechtli, Phys. Rev. D 64, 034504 (2001). PRVDAQ 0556-2821 10.1103/PhysRevD.64.034504
54. T.A. DeGrand, A. Hasenfratz, and T.G. Kovacs, Phys. Rev. D 67, 054501 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.054501
55. T.A. DeGrand, Phys. Rev. D 69, 014504 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.014504
56. S. Dürr, C. Hoelbling, and U. Wenger, Phys. Rev. D 70, 094502 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.70.094502
57. S.R. Beane, P.F. Bedaque, T.C. Luu, K. Orginos, E. Pallante, A. Parreño, and M.J. Savage (NPLQCD Collaboration), Nucl. Phys. A794, 62 (2007). NUPABL 0375-9474 10.1016/j.nuclphysa.2007.07.006
58. S.R. Beane, P.F. Bedaque, T.C. Luu, K. Orginos, E. Pallante, A. Parreño, and M.J. Savage, Phys. Rev. D 74, 114503 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.74.114503
59. D.B. Kaplan, Phys. Lett. B 288, 342 (1992). PYLBAJ 0370-2693 10.1016/0370-2693(92)91112-M
60. Y. Shamir, Phys. Lett. B PYLBAJ 0370-2693 305, 357 (1993). 10.1016/0370-2693(93)91068-X
61. Y. Shamir, Nucl. Phys. NUPBBO 0550-3213 B406, 90 (1993). 10.1016/0550-3213(93)90162-I
62. Y. Shamir, Phys. Rev. D 59, 054506 (1999). PRVDAQ 0556-2821 10.1103/PhysRevD.59.054506
63. V. Furman and Y. Shamir, Nucl. Phys. NUPBBO 0550-3213 B439, 54 (1995). 10.1016/0550-3213(95)00031-M
64. Lattice Methods for Quantum Chromodynamics,, Thomas DeGrand, and, Carleton DeTar, (World Scientific, Singapore, 2006).
65. S. Dürr and C. Hoelbling, Phys. Rev. D 71, 054501 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.054501
66. M. Creutz, arXiv:hep-lat/0603020.
67. C. Bernard, M. Golterman, Y. Shamir, and S.R. Sharpe, Phys. Lett. B 649, 235 (2007). PYLBAJ 0370-2693 10.1016/j.physletb.2007.04.018
68. S. Dürr and C. Hoelbling, Phys. Rev. D 74, 014513 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.74.014513
69. A. Hasenfratz and R. Hoffmann, Phys. Rev. D 74, 014511 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.74.014511
70. C. Bernard, M. Golterman, and Y. Shamir, Phys. Rev. D 73, 114511 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.114511
71. Y. Shamir, Phys. Rev. D 75, 054503 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.75.054503
72. S.R. Sharpe, Proc. Sci. LAT2006 (2006) 022. 1824-8039
73. J.W. Chen, D. O'Connell and A. Walker-Loud, arXiv:0706.0035.
74. M. Lüscher, Commun. Math. Phys. 104, 177 (1986). CMPHAY 0010-3616 10.1007/BF01211589
75. J. Gasser and H. Leutwyler, Phys. Lett. B 188, 477 (1987). PYLBAJ 0370-2693 10.1016/0370-2693(87)91652-2
76. P.F. Bedaque, I. Sato, and A. Walker-Loud, Phys. Rev. D 73, 074501 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.074501
77. M. Golterman and Y. Shamir, Phys. Rev. D 71, 034502 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.034502
78. J. Gasser and H. Leutwyler, Nucl. Phys. NUPBBO 0550-3213 B250, 465 (1985). 10.1016/0550-3213(85)90492-4
79. A. Manohar and H. Georgi, Nucl. Phys. NUPBBO 0550-3213 B234, 189 (1984). 10.1016/0550-3213(84)90231-1
80. K. Maltman and C.E. Wolfe, Phys. Lett. B 393, 19 (1997); PYLBAJ 0370-2693 10.1016/S0370-2693(96)01617-6
81. K. Maltman C.E. Wolfe Phys. Lett. B 424, 413(E) (1998). PYLBAJ 0370-2693 10.1016/S0370-2693(98)00235-4
82. U.G. Meissner, G. Muller, and S. Steininger, Phys. Lett. B 406, 154 (1997); PYLBAJ 0370-2693 10.1016/S0370-2693(97)00666-7
83. U.G. Meissner G. Muller S. Steininger Phys. Lett. B 407, 454(E) (1997). PYLBAJ 0370-2693 10.1016/S0370-2693(97)00839-3
84. M. Knecht and R. Urech, Nucl. Phys. NUPBBO 0550-3213 B519, 329 (1998). 10.1016/S0550-3213(98)00044-3
85. M. Knecht and A. Nehme, Phys. Lett. B 532, 55 (2002). PYLBAJ 0370-2693 10.1016/S0370-2693(02)01499-5
86. B. Bloch-Devaux, Recent Results from NA48/2 on Ke4 Decays and Interpretation in Term of ππ Scattering Lengths (Kaon, 2007).
87. J. Gasser, Theoretical Progress on Cusp Effect and Kl4 (Kaon, 2007).
88. R.G. Edwards and B. Joo (SciDAC Collaboration), Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 140, 832 (2005). 10.1016/j.nuclphysbps.2004.11.254