Weak matrix elements on the lattice - Circa 1995

Nuclear Physics B - Proceedings Supplements

Volumn 47, Issue 1-3, 1996, Pages 43-58

  Soni, A ^a  

^a BROOKHAVEN NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 16144366978     PISSN: 09205632     EISSN: None     Source Type: Journal    
DOI: 10.1016/0920-5632(96)00031-X     Document Type: Article

References (94)

1. 1. For a recent review, see G. Martinelli NPB (Proc. Suppl.) 42 (1995) 127. '94).
2. 2. For another review see: C. Bernard NPB (Proc. Suppl.) 34 (1994) 47.
3. 3. M. Ciuchini, E. Franco, G. Martinelli and L. Reina, PLB 301 (1993) 263; CERN-TH75/94; hep-ph-9503277.
4. 3. M. Ciuchini, E. Franco, G. Martinelli and L. Reina, PLB 301 (1993) 263; CERN-TH75/94; hep-ph-9503277.
5. 4. A. Abada et al. (APE), CERN-TH95-59.
6. 5. D.R. Burford et al. (UKQCD), SHEP95-09.
7. 6. K.C. Bowler et al. (UKQCD) PRL 72 (1994) 1398.
8. 7. T. Bhattacharya and R. Gupta, NPB (Proc. Suppl.) 42 (1995) 935.
9. 8. C. Bernard, P. Hsieh, and A. Soni, PRL 72 (1994) 1402.
10. 9. J. Flynn et al. (UKQCD), SHEP95-18.
11. 10. J. Flynn and J. Nieves, (private communications).
12. 11. N. Isgur and M. Wise, PRD42 (1990) 2388; H. Georgi, in: Perspectives of the Standard Model, eds. R.K. Ellis, C. T. Hill and J. D. Lykken (World Scientific, 94) p.589; M. Neubert, Phys. Rept. 245 (94) 259; B. Grinstein, preprint hep-ph/9411275.
13. 11. N. Isgur and M. Wise, PRD42 (1990) 2388; H. Georgi, in: Perspectives of the Standard Model, eds. R.K. Ellis, C. T. Hill and J. D. Lykken (World Scientific, 94) p.589; M. Neubert, Phys. Rept. 245 (94) 259; B. Grinstein, preprint hep-ph/9411275.
14. 11. N. Isgur and M. Wise, PRD42 (1990) 2388; H. Georgi, in: Perspectives of the Standard Model, eds. R.K. Ellis, C. T. Hill and J. D. Lykken (World Scientific, 94) p.589; M. Neubert, Phys. Rept. 245 (94) 259; B. Grinstein, preprint hep-ph/9411275.
15. 11. N. Isgur and M. Wise, PRD42 (1990) 2388; H. Georgi, in: Perspectives of the Standard Model, eds. R.K. Ellis, C. T. Hill and J. D. Lykken (World Scientific, 94) p.589; M. Neubert, Phys. Rept. 245 (94) 259; B. Grinstein, preprint hep-ph/9411275.
16. 12. P.A. Griffin et al., PRD50 5751 (94).
17. 13. S. Aoki et al (JLQCD); see Aoki's talk.
18. 14. W. Lee and M. Klomfass, (see Lee's talk ).
19. 15. See the talks by T. Bhattacharya and R. Gupta.
20. 16. A. Donini et al., hep-lat/9508020; see also the talks by M. Tolevi and T. Vladikas.
21. 16. A. Donini et al., hep-lat/9508020; see also the talks by M. Tolevi and T. Vladikas.
22. 17. C. Bernard and A. Soni, to be published.
23. 18. G.D. Barr (NA31), PL B317 (1993) 233.
24. 19. L.K. Gibbons (E731), PRL 70 (1993) 1203.
25. 20. L. Wolfenstein, PRL 13 (1966) 562.
26. 21. A. Buras, M. Jamin and M. Lautenbacher, NPB 400 (1993) 37; (1993) 75 and references therein.
27. 21. A. Buras, M. Jamin and M. Lautenbacher, NPB 400 (1993) 37; (1993) 75 and references therein.
28. 22. C. Allton et al., NPB 431 (1994) 667.
29. 23. P. Lepage and P. MacKenzie, PRD48 (1993) 2250.
30. 24. See e.g. L. Reina, NPB (Proc. Suppl.) 37A (1994) 51, in particular Fig. 2.
31. 25. C. Bernard et al., PRD32 (1985) 2343.
32. 26. M. Bochiccio et al., NP B262, (1985) 331.
33. 27. S. Sharpe et al., PL B192 (1987) 149.
34. 28. S. Sharpe NPB (Proc. Suppl.) 20 (1991) 429; G. Kilcup, ibid, p. 417.
35. 28. S. Sharpe NPB (Proc. Suppl.) 20 (1991) 429; G. Kilcup, ibid, p. 417.
36. 29. S. Sharpe, R. Gupta and G. Kilcup, NPB (Proc. Suppl.) 26 (1992) 197.
37. 30. C. Bernard et al., NPB (Proc. Suppl.) 4 (1988) 483.
38. 31. Y. Kuramashi et al., NPB (Proc. Suppl.) 34 (1994) 117.
39. 32. This update of Ref. 3 is obtained through the courtesy of Laura Reina.
40. 33. C. Bernard et al. (MILC); see Bernard's talk.
41. 34. For a review see, A.G. Cohen et al., Ann. Rev. Nucl. Part. Phys. 43 (1993) 27.
42. 35. B. Grinstein and M.B. Wise, B201 (1988) 274; W.S. Hou and R. Willey, PLB202 (1988) 591; J.L. Hewett, Hep-ph 9406302 and references therein.
43. 36. CLEO: R. Ammar et al., PRL 71 (1993) 674; M.S. Alam et al., PRL 74 (1995) 2885.
44. 36. CLEO: R. Ammar et al., PRL 71 (1993) 674; M.S. Alam et al., PRL 74 (1995) 2885.
45. 37. D. Atwood, B. Blok and A. Soni, SLAC-PUB-95-6635.
46. 38. E. Golowich and S. Pakvasa, PRD51, (1995) 1215; N. Deshpande et al., Oregon preprint OITS-564; G. Eilam et al., Technion preprint hep-ph9505222; A. Khodjamirian et al., Zurich preprint ZU-TH8/95; H-Y. Cheng, HEP-PH-9411330, G. Ricciardi, HUTP-94/A037; A. Ali and V.M. Braun hep-ph/9506248 and J. Milana hep-ph-9503326.
47. 38. E. Golowich and S. Pakvasa, PRD51, (1995) 1215; N. Deshpande et al., Oregon preprint OITS-564; G. Eilam et al., Technion preprint hep-ph9505222; A. Khodjamirian et al., Zurich preprint ZU-TH8/95; H-Y. Cheng, HEP-PH-9411330, G. Ricciardi, HUTP-94/A037; A. Ali and V.M. Braun hep-ph/9506248 and J. Milana hep-ph-9503326.
48. 38. E. Golowich and S. Pakvasa, PRD51, (1995) 1215; N. Deshpande et al., Oregon preprint OITS-564; G. Eilam et al., Technion preprint hep-ph9505222; A. Khodjamirian et al., Zurich preprint ZU-TH8/95; H-Y. Cheng, HEP-PH-9411330, G. Ricciardi, HUTP-94/A037; A. Ali and V.M. Braun hep-ph/9506248 and J. Milana hep-ph-9503326.
49. 38. E. Golowich and S. Pakvasa, PRD51, (1995) 1215; N. Deshpande et al., Oregon preprint OITS-564; G. Eilam et al., Technion preprint hep-ph9505222; A. Khodjamirian et al., Zurich preprint ZU-TH8/95; H-Y. Cheng, HEP-PH-9411330, G. Ricciardi, HUTP-94/A037; A. Ali and V.M. Braun hep-ph/9506248 and J. Milana hep-ph-9503326.
50. 38. E. Golowich and S. Pakvasa, PRD51, (1995) 1215; N. Deshpande et al., Oregon preprint OITS-564; G. Eilam et al., Technion preprint hep-ph9505222; A. Khodjamirian et al., Zurich preprint ZU-TH8/95; H-Y. Cheng, HEP-PH-9411330, G. Ricciardi, HUTP-94/A037; A. Ali and V.M. Braun hep-ph/9506248 and J. Milana hep-ph-9503326.
51. 38. E. Golowich and S. Pakvasa, PRD51, (1995) 1215; N. Deshpande et al., Oregon preprint OITS-564; G. Eilam et al., Technion preprint hep-ph9505222; A. Khodjamirian et al., Zurich preprint ZU-TH8/95; H-Y. Cheng, HEP-PH-9411330, G. Ricciardi, HUTP-94/A037; A. Ali and V.M. Braun hep-ph/9506248 and J. Milana hep-ph-9503326.
52. 38. E. Golowich and S. Pakvasa, PRD51, (1995) 1215; N. Deshpande et al., Oregon preprint OITS-564; G. Eilam et al., Technion preprint hep-ph9505222; A. Khodjamirian et al., Zurich preprint ZU-TH8/95; H-Y. Cheng, HEP-PH-9411330, G. Ricciardi, HUTP-94/A037; A. Ali and V.M. Braun hep-ph/9506248 and J. Milana hep-ph-9503326.
53. 38. E. Golowich and S. Pakvasa, PRD51, (1995) 1215; N. Deshpande et al., Oregon preprint OITS-564; G. Eilam et al., Technion preprint hep-ph9505222; A. Khodjamirian et al., Zurich preprint ZU-TH8/95; H-Y. Cheng, HEP-PH-9411330, G. Ricciardi, HUTP-94/A037; A. Ali and V.M. Braun hep-ph/9506248 and J. Milana hep-ph-9503326.
54. 39. A. Buras et al., preprint MPI-PH-93-77; M. Ciuchini et al., PL B334 (1994) 137.
55. 39. A. Buras et al., preprint MPI-PH-93-77; M. Ciuchini et al., PL B334 (1994) 137.
56. 40. Particle Data Book, PRD 50 (1994) 1.
57. 41. J. Simone (private communication)
58. 42. S. Sharpe, NPB (Proc. Suppl.) 34 (1994) 403 and private communications.
59. 43. W. Bardeen, A. Buras and J.M. Gerard, PL 211B (1988) 343; 192B (1987) 128.
60. 43. W. Bardeen, A. Buras and J.M. Gerard, PL 211B (1988) 343; 192B (1987) 128.
61. 44. J. Donoghue, E. Golowich and B. Holstein, PL119B, 412(82).
62. 45. G. Kilcup, PRL 71 (1993) 1677.
63. 46. N. Ishizuka et al., PRL 71 (1993) 24.
64. 47. C. Bernard and A. Soni, NPB (Proc. Suppl.) 9 (1989) 155.
65. 48. C. Bernard and A. Soni, NPB (Proc. Suppl.) 17 (1990) 495
66. 49. We are greatly indebted to Norman Christ for allowing us the use of these lattices. See also [17].
67. 50. C. Bernard et al., PRD38 (1988) 3540.
68. 51. For other previous attempts using propagating quarks see also M.B. Gavela et al., 206B (1988) 113. In the static limit see: E. Eichten, NPB (Proc. Suppl.) 4 (1988) 170; Eichten et al., ibid 17 (1988) 529; C. Allton et al. (ELC), NPB 349 (1991) 598; and A. Abada et al. (APE), Rome preprint 823 (1991).
69. 51. For other previous attempts using propagating quarks see also M.B. Gavela et al., 206B (1988) 113. In the static limit see: E. Eichten, NPB (Proc. Suppl.) 4 (1988) 170; Eichten et al., ibid 17 (1988) 529; C. Allton et al. (ELC), NPB 349 (1991) 598; and A. Abada et al. (APE), Rome preprint 823 (1991).
70. 51. For other previous attempts using propagating quarks see also M.B. Gavela et al., 206B (1988) 113. In the static limit see: E. Eichten, NPB (Proc. Suppl.) 4 (1988) 170; Eichten et al., ibid 17 (1988) 529; C. Allton et al. (ELC), NPB 349 (1991) 598; and A. Abada et al. (APE), Rome preprint 823 (1991).
71. 51. For other previous attempts using propagating quarks see also M.B. Gavela et al., 206B (1988) 113. In the static limit see: E. Eichten, NPB (Proc. Suppl.) 4 (1988) 170; Eichten et al., ibid 17 (1988) 529; C. Allton et al. (ELC), NPB 349 (1991) 598; and A. Abada et al. (APE), Rome preprint 823 (1991).
72. 51. For other previous attempts using propagating quarks see also M.B. Gavela et al., 206B (1988) 113. In the static limit see: E. Eichten, NPB (Proc. Suppl.) 4 (1988) 170; Eichten et al., ibid 17 (1988) 529; C. Allton et al. (ELC), NPB 349 (1991) 598; and A. Abada et al. (APE), Rome preprint 823 (1991).
73. 52. P. MacKenzie, NPB (Proc. Suppl.) 30 (1993) 35; A. Kronfeld, ibid p. 445.
74. 52. P. MacKenzie, NPB (Proc. Suppl.) 30 (1993) 35; A. Kronfeld, ibid p. 445.
75. 53. With propagating quarks, at β = 6.3, see also the talk by S. Hashimoto.
76. 54. In the static limit, see also, D. Richards (UKQCD) et al., T. Draper, and C. McNeile, these proceedings.
77. 55. A. Soni in XXVII Int'l Conf. on HEP, p. 709 (1994); on B Physics, Nagoya (1994), Eds. A. Sanda and M. Suzuki, p. 359.
78. 55. A. Soni in XXVII Int'l Conf. on HEP, p. 709 (1994); on B Physics, Nagoya (1994), Eds. A. Sanda and M. Suzuki, p. 359.
79. 56. S. Herrlich and U. Nierste, preprint hep-ph/9507262.
80. 57. The systematics are my estimates based on Ref. 13.
81. 58. M.B. Gavela et al., PLB206 (1988) 113.
82. 59. The 90% CL errors quoted for each item are subjective and include statistical and systematic errors.
83. 60. C. Bernard, J. Labrenz, and A. Soni, PRD49 (1994) 2536.
84. 61. T. Degrand and R. Loft, PRD38 (1988) 954.
85. 62. R.M. Baxter et al. (UKQCD), PRD49 (1994) 1594.
86. 63. T. Duncan et al. (Fermilab Static Group), hep-lat9407025.
87. 64. Only T2-pole values are shown here. See also Table 1.
88. 65. D. Atwood and A. Soni (to be published).
89. 66. Similar constraints are obtained by A. Ali and D. London, hep-ph9408332; see also J. Rosner, hep-ph9405404; S. Stone, p. 871 in DPF 94, Ed. S. Seidel.
90. 66. Similar constraints are obtained by A. Ali and D. London, hep-ph9408332; see also J. Rosner, hep-ph9405404; S. Stone, p. 871 in DPF 94, Ed. S. Seidel.
91. 66. Similar constraints are obtained by A. Ali and D. London, hep-ph9408332; see also J. Rosner, hep-ph9405404; S. Stone, p. 871 in DPF 94, Ed. S. Seidel.
92. 67. L. Wolfenstein, PRL 51 (1983) 1945.
93. 68. See the talk by J. Simone.
94. 69. See the talk by C. Allton.