-
1
-
-
0035945017
-
-
NUPBBO 0550-3213 10.1016/S0550-3213(01)00499-0
-
J.H. Kuhn and M. Steinhauser, Nucl. Phys. NUPBBO 0550-3213 B619, 588 (2001); 10.1016/S0550-3213(01)00499-0
-
(2001)
Nucl. Phys.
, vol.619
, pp. 588
-
-
Kuhn, J.H.1
Steinhauser, M.2
-
2
-
-
0037163512
-
-
NUPBBO 0550-3213 10.1016/S0550-3213(02)00578-3
-
J.H. Kuhn M. Steinhauser Nucl. Phys. NUPBBO 0550-3213 B640, 415 (2002). 10.1016/S0550-3213(02)00578-3
-
(2002)
Nucl. Phys.
, vol.640
, pp. 415
-
-
Kuhn, J.H.1
Steinhauser, M.2
-
3
-
-
34447306890
-
-
NUPBBO 0550-3213 10.1016/j.nuclphysb.2007.04.036
-
J.H. Kuhn, M. Steinhauser, and C. Sturm, Nucl. Phys. NUPBBO 0550-3213 B778, 192 (2007). 10.1016/j.nuclphysb.2007.04.036
-
(2007)
Nucl. Phys.
, vol.778
, pp. 192
-
-
Kuhn, J.H.1
Steinhauser, M.2
Sturm, C.3
-
7
-
-
33749339563
-
-
NPBSE7 0920-5632 10.1016/j.nuclphysbps.2006.09.041
-
R. Boughezal, M. Czakon, and T. Schutzmeier, Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 160, 160 (2006). 10.1016/j.nuclphysbps.2006.09.041
-
(2006)
Nucl. Phys. B, Proc. Suppl.
, vol.160
, pp. 160
-
-
Boughezal, R.1
Czakon, M.2
Schutzmeier, T.3
-
8
-
-
40849140687
-
-
NUPBBO 0550-3213 10.1016/j.nuclphysb.2007.12.035
-
A. Maier, P. Maierhofer, and P. Marquard, Nucl. Phys. NUPBBO 0550-3213 B797, 218 (2008). 10.1016/j.nuclphysb.2007.12.035
-
(2008)
Nucl. Phys.
, vol.797
, pp. 218
-
-
Maier, A.1
Maierhofer, P.2
Marquard, P.3
-
11
-
-
53349126706
-
-
The result for the third pseudoscalar moment, C̄330=14.5789, was provided to us by
-
The result for the third pseudoscalar moment, C̄330=14.5789, was provided to us by A. Maier, P. Maierhöfer, and P. Marquard prior to publication.
-
-
-
Maier, A.1
Maierhöfer, P.2
Marquard, P.3
-
12
-
-
0030583450
-
-
For an earlier exploratory analysis, using quenched (nf=0) QCD and less highly improved actions, see NUPBBO 0550-3213 10.1016/0550-3213(96)00396-3
-
For an earlier exploratory analysis, using quenched (nf=0) QCD and less highly improved actions, see A. Bochkarev and P. de Forcrand, Nucl. Phys. NUPBBO 0550-3213 B477, 489 (1996); 10.1016/0550-3213(96)00396-3
-
(1996)
Nucl. Phys.
, vol.477
, pp. 489
-
-
Bochkarev, A.1
De Forcrand, P.2
-
14
-
-
53349140575
-
-
For a recent related analysis using light-quark correlators see: arXiv:0807.0556.
-
For a recent related analysis using light-quark correlators see: E. Shintani (JLQCD Collaboration and TWQCD Collaboration), arXiv:0807.0556.
-
-
-
Shintani, E.1
-
15
-
-
4344677948
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.92.022001
-
C.T.H. Davies (HPQCD Collaboration), Phys. Rev. Lett. 92, 022001 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.022001
-
(2004)
Phys. Rev. Lett.
, vol.92
, pp. 022001
-
-
Davies, C.T.H.1
-
16
-
-
27144556054
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.95.052002
-
Q. Mason (HPQCD Collaboration), Phys. Rev. Lett. 95, 052002 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.052002
-
(2005)
Phys. Rev. Lett.
, vol.95
, pp. 052002
-
-
Mason, Q.1
-
17
-
-
33947191931
-
-
PRVDAQ 0556-2821 10.1103/PhysRevD.75.054502
-
E. Follana (HPQCD Collaboration), Phys. Rev. D 75, 054502 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.75.054502
-
(2007)
Phys. Rev. D
, vol.75
, pp. 054502
-
-
Follana, E.1
-
18
-
-
40749106507
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.100.062002
-
E. Follana, C.T.H. Davies, G.P. Lepage, and J. Shigemitsu (HPQCD Collaboration), Phys. Rev. Lett. 100, 062002 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.062002
-
(2008)
Phys. Rev. Lett.
, vol.100
, pp. 062002
-
-
Follana, E.1
Davies, C.T.H.2
Lepage, G.P.3
Shigemitsu, J.4
-
19
-
-
29744448526
-
-
PRVDAQ 0556-2821 10.1103/PhysRevD.72.094507
-
A. Gray, I. Allison, C.T.H. Davies, E. Dalgic, G.P. Lepage, J. Shigemitsu, and M. Wingate, Phys. Rev. D 72, 094507 (2005); PRVDAQ 0556-2821 10.1103/PhysRevD.72.094507
-
(2005)
Phys. Rev. D
, vol.72
, pp. 094507
-
-
Gray, A.1
Allison, I.2
Davies, C.T.H.3
Dalgic, E.4
Lepage, G.P.5
Shigemitsu, J.6
Wingate, M.7
-
20
-
-
53349138500
-
-
The error on the r1 quoted in this paper, r1=0.321(5)fm, includes estimates of all errors involved in simulating the upsilons. This value has been extensively checked in many other calculations: see, for example, for 11 other calculations that verify this value with precisions ranging from 1.5% to 3%.
-
The error on the r1 quoted in this paper, r1=0.321(5)fm, includes estimates of all errors involved in simulating the upsilons. This value has been extensively checked in many other calculations: see, for example, for 11 other calculations that verify this value with precisions ranging from 1.5% to 3%.
-
-
-
-
21
-
-
42749107105
-
-
PRVDAQ 0556-2821 10.1103/PhysRevD.70.094505
-
C. Aubin, Phys. Rev. D 70, 094505 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.70.094505
-
(2004)
Phys. Rev. D
, vol.70
, pp. 094505
-
-
Aubin, C.1
-
22
-
-
53349106118
-
-
One might worry about large nonperturbative contributions to the ηc mass from cc̄→gluons→cc̄ coming, for example, from mixing between the ηc and a nearby glueball. Such an effect is largely ruled out by the fact that our simulation (which does not allow such mixing) gives the correct masses for both the ηc and the ψ. In particular, the difference between their masses in the simulation agrees with experiments to within ±5MeV, which is less than 0.2% of the ηc's mass.
-
One might worry about large nonperturbative contributions to the ηc mass from cc̄→gluons→cc̄ coming, for example, from mixing between the ηc and a nearby glueball. Such an effect is largely ruled out by the fact that our simulation (which does not allow such mixing) gives the correct masses for both the ηc and the ψ. In particular, the difference between their masses in the simulation agrees with experiments to within ±5MeV, which is less than 0.2% of the ηc's mass.
-
-
-
-
23
-
-
6044274544
-
-
Using mηcexp (amc/amηc)LQCD to determine mc with reduced tuning errors is an old idea: see, for example, PRLTAO 0031-9007 10.1103/PhysRevLett. 73.2654
-
Using mηcexp (amc/amηc)LQCD to determine mc with reduced tuning errors is an old idea: see, for example, C.T.H. Davies, Phys. Rev. Lett. 73, 2654 (1994); PRLTAO 0031-9007 10.1103/PhysRevLett.73.2654
-
(1994)
Phys. Rev. Lett.
, vol.73
, pp. 2654
-
-
Davies, C.T.H.1
-
24
-
-
29744448526
-
-
PRVDAQ 0556-2821 10.1103/PhysRevD.72.094507
-
A. Gray, I. Allison, C.T.H. Davies, E. Dalgic, G.P. Lepage, J. Shigemitsu, and M. Wingate, Phys. Rev. D 72, 094507 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.094507
-
(2005)
Phys. Rev. D
, vol.72
, pp. 094507
-
-
Gray, A.1
Allison, I.2
Davies, C.T.H.3
Dalgic, E.4
Lepage, G.P.5
Shigemitsu, J.6
Wingate, M.7
-
25
-
-
53349131742
-
-
We computed the contribution from c-quark loops by comparing results from for nh=1 (with c quarks) with those for nh=0 (without c quarks). The reduced moments Rn are corrected, to include c quarks, by multiplying them by rn(nh=1)/rn(nh=0).
-
We computed the contribution from c-quark loops by comparing results from for nh=1 (with c quarks) with those for nh=0 (without c quarks). The reduced moments Rn are corrected, to include c quarks, by multiplying them by rn(nh=1)/rn(nh=0).
-
-
-
-
26
-
-
0036524793
-
-
NPBSE7 0920-5632 10.1016/S0920-5632(01)01638-3
-
G.P. Lepage, B. Clark, C.T.H. Davies, K. Hornbostel, P.B. Mackenzie, C. Morningstar, and H. Trottier, Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 106, 12 (2002). 10.1016/S0920-5632(01)01638-3
-
(2002)
Nucl. Phys. B, Proc. Suppl.
, vol.106
, pp. 12
-
-
Lepage, G.P.1
Clark, B.2
Davies, C.T.H.3
Hornbostel, K.4
MacKenzie, P.B.5
Morningstar, C.6
Trottier, H.7
-
27
-
-
53349123179
-
-
For a detailed example of how to use constrained fitting, including how to construct an error budget for the results, and also for new results from lattice QCD for the QCD coupling see: arXiv:0807.1687.
-
For a detailed example of how to use constrained fitting, including how to construct an error budget for the results, and also for new results from lattice QCD for the QCD coupling see: C.T.H. Davies, I.D. Kendall, G.P. Lepage, C. McNeile, J. Shigemitsu, and H. Trottier (HPQCD Collaboration), arXiv:0807.1687.
-
-
-
Davies, C.T.H.1
Kendall, I.D.2
Lepage, G.P.3
McNeile, C.4
Shigemitsu, J.5
Trottier, H.6
-
28
-
-
53349115305
-
-
This gives a perturbative error that is approximately the same size as the error estimates obtained in by varying the renormalization scale between μ=2 and 4 GeV. The value for R6, for example, varies from +0.5% to -0.4% of the central value as μ is varied over this range; the error estimate from Eq. 16 is ±0.4%.
-
This gives a perturbative error that is approximately the same size as the error estimates obtained in by varying the renormalization scale between μ=2 and 4 GeV. The value for R6, for example, varies from +0.5% to -0.4% of the central value as μ is varied over this range; the error estimate from Eq. 16 is ±0.4%.
-
-
-
-
29
-
-
0001967252
-
-
PRPLCM 0370-1573 10.1016/0370-1573(78)90120-5
-
V.A. Novikov, L.B. Okun, M.A. Shifman, A.I. Vainshtein, M.B. Voloshin, and V.I. Zakharov, Phys. Rep. PRPLCM 0370-1573 41, 1 (1978). 10.1016/0370-1573(78)90120-5
-
(1978)
Phys. Rep.
, vol.41
, pp. 1
-
-
Novikov, V.A.1
Okun, L.B.2
Shifman, M.A.3
Vainshtein, A.I.4
Voloshin, M.B.5
Zakharov, V.I.6
-
30
-
-
0001121810
-
-
PYLBAJ 0370-2693 10.1016/0370-2693(94)90524-X
-
D.J. Broadhurst, P.A. Baikov, V.A. Ilyin, J. Fleischer, O.V. Tarasov, and V.A. Smirnov, Phys. Lett. B 329, 103 (1994). PYLBAJ 0370-2693 10.1016/0370-2693(94)90524-X
-
(1994)
Phys. Lett. B
, vol.329
, pp. 103
-
-
Broadhurst, D.J.1
Baikov, P.A.2
Ilyin, V.A.3
Fleischer, J.4
Tarasov, O.V.5
Smirnov, V.A.6
-
31
-
-
27344447632
-
-
For a recent analysis of condensate values see PPNPDB 0146-6410 10.1016/j.ppnp.2005.05.001
-
For a recent analysis of condensate values see B.L. Ioffe, Prog. Part. Nucl. Phys. 56, 232 (2006). PPNPDB 0146-6410 10.1016/j.ppnp.2005.05.001
-
(2006)
Prog. Part. Nucl. Phys.
, vol.56
, pp. 232
-
-
Ioffe, B.L.1
-
33
-
-
14044252821
-
-
NUPBBO 0550-3213 10.1016/j.nuclphysb.2005.01.012
-
M. Czakon, Nucl. Phys. NUPBBO 0550-3213 B710, 485 (2005). 10.1016/j.nuclphysb.2005.01.012
-
(2005)
Nucl. Phys.
, vol.710
, pp. 485
-
-
Czakon, M.1
-
34
-
-
0039971903
-
-
PYLBAJ 0370-2693 10.1016/S0370-2693(97)00535-2
-
K.G. Chetyrkin, Phys. Lett. B 404, 161 (1997). PYLBAJ 0370-2693 10.1016/S0370-2693(97)00535-2
-
(1997)
Phys. Lett. B
, vol.404
, pp. 161
-
-
Chetyrkin, K.G.1
-
36
-
-
33746524241
-
-
JPGPED 0954-3899 10.1088/0954-3899/33/1/001
-
W.-M. Yao (Particle Data Group), J. Phys. G JPGPED 0954-3899 33, 1 (2006); 10.1088/0954-3899/33/1/001
-
(2006)
J. Phys. G
, vol.33
, pp. 1
-
-
Yao, W.-M.1
-
37
-
-
53349106117
-
-
We use the Particle Data Group's value of mb(mb)=4.20(7)GeV for the b-quark mass when reducing from nf=5 to nf=4.
-
We use the Particle Data Group's value of mb(mb)=4.20(7)GeV for the b-quark mass when reducing from nf=5 to nf=4.
-
-
-
-
38
-
-
53349140571
-
-
A related problem is that correlators built from these currents are contaminated by contributions from correlators built from opposite-parity operators (see Appendix G of). These lattice artifacts oscillate in sign, as (-1)t/a, and so are suppressed by (amc/π)n-2 in the nth moment since the sum over t is dominated by E 0. Such contamination is absent in the case of the pseudoscalar correlators.
-
A related problem is that correlators built from these currents are contaminated by contributions from correlators built from opposite-parity operators (see Appendix G of). These lattice artifacts oscillate in sign, as (-1)t/a, and so are suppressed by (amc/π)n-2 in the nth moment since the sum over t is dominated by E 0. Such contamination is absent in the case of the pseudoscalar correlators.
-
-
-
-
39
-
-
53349140573
-
-
The continuum Ward identity relates the axial vector current to the pseudoscalar density, implying that gn(j5μ) gn+2 where the gn's are defined in Eqs. 4 26.
-
The continuum Ward identity relates the axial vector current to the pseudoscalar density, implying that gn(j5μ) gn+2 where the gn's are defined in Eqs. 4 26.
-
-
-
-
40
-
-
33746089991
-
-
For older analyses that include sea quarks, see: JHEPFG 1029-8479
-
For older analyses that include sea quarks, see: A. Dougall, C.M. Maynard, and C. McNeile, J. High Energy Phys. JHEPFG 1029-8479 01 (2006) 171;
-
J. High Energy Phys.
, vol.2006
, Issue.1
, pp. 171
-
-
Dougall, A.1
Maynard, C.M.2
McNeile, C.3
-
42
-
-
23044475567
-
-
The precision of analyses that do not include sea quarks is hard to quantify because the value of the c mass depends upon how the lattice spacing and the bare c mass are tuned, and it is not possible to obtain consistency from different choices. For example, tuning the bare mass to give the correct Ds mass gives very different results from tuning to get the correct Ds*-Ds mass difference, or the correct ηc or ψ mass. We avoid these problems here by including the full effect of sea quarks. For determinations of the c mass without sea quarks with further discussion of these issues see: JHEPFG 1029-8479 10.1088/1126-6708/2002/12/007
-
The precision of analyses that do not include sea quarks is hard to quantify because the value of the c mass depends upon how the lattice spacing and the bare c mass are tuned, and it is not possible to obtain consistency from different choices. For example, tuning the bare mass to give the correct Ds mass gives very different results from tuning to get the correct Ds*-Ds mass difference, or the correct ηc or ψ mass. We avoid these problems here by including the full effect of sea quarks. For determinations of the c mass without sea quarks with further discussion of these issues see: J. Rolf and S. Sint (ALPHA Collaboration), J. High Energy Phys. JHEPFG 1029-8479 12 (2002) 007; 10.1088/1126-6708/2002/12/007
-
J. High Energy Phys.
, vol.2002
, Issue.12
, pp. 007
-
-
Rolf, J.1
Sint, S.2
-
43
-
-
0242552102
-
-
NUPBBO 0550-3213 10.1016/j.nuclphysb.2003.10.001
-
G.M. de Divitiis, M. Guagnelli, R. Petronzio, N. Tantalo, and F. Palombi, Nucl. Phys. NUPBBO 0550-3213 B675, 309 (2003). 10.1016/j.nuclphysb.2003.10.001
-
(2003)
Nucl. Phys.
, vol.675
, pp. 309
-
-
De Divitiis, G.M.1
Guagnelli, M.2
Petronzio, R.3
Tantalo, N.4
Palombi, F.5
-
44
-
-
33846673212
-
-
A world average of 0.1189(10) is given in PPNPDB 0146-6410 10.1016/j.ppnp.2006.06.001
-
A world average of 0.1189(10) is given in S. Bethke, Prog. Part. Nucl. Phys. 58, 351 (2007). PPNPDB 0146-6410 10.1016/j.ppnp.2006.06.001
-
(2007)
Prog. Part. Nucl. Phys.
, vol.58
, pp. 351
-
-
Bethke, S.1
-
45
-
-
33846785972
-
-
1824-8039
-
S.R. Sharpe, Proc. Sci., LAT2006 (2006) 022. 1824-8039
-
Proc. Sci.
, vol.2006
, Issue.LAT2006
, pp. 022
-
-
Sharpe, S.R.1
-
46
-
-
45749092896
-
-
PRVDAQ 0556-2821 10.1103/PhysRevD.77.114504
-
C. Bernard, M. Golterman, Y. Shamir, and S.R. Sharpe, Phys. Rev. D 77, 114504 (2008). PRVDAQ 0556-2821 10.1103/PhysRevD.77.114504
-
(2008)
Phys. Rev. D
, vol.77
, pp. 114504
-
-
Bernard, C.1
Golterman, M.2
Shamir, Y.3
Sharpe, S.R.4
-
47
-
-
42449126598
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.100.161801
-
K.M. Ecklund (CLEO Collaboration), Phys. Rev. Lett. 100, 161801 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.161801
-
(2008)
Phys. Rev. Lett.
, vol.100
, pp. 161801
-
-
Ecklund, K.M.1
-
48
-
-
34548105168
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.99.071802
-
M. Artuso (CLEO Collaboration), Phys. Rev. Lett. 99, 071802 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.071802
-
(2007)
Phys. Rev. Lett.
, vol.99
, pp. 071802
-
-
Artuso, M.1
-
49
-
-
34147103348
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.98.141801
-
B. Aubert (BABAR Collaboration), Phys. Rev. Lett. 98, 141801 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.141801
-
(2007)
Phys. Rev. Lett.
, vol.98
, pp. 141801
-
-
Aubert, B.1
-
50
-
-
53349137441
-
-
HPQCD Collaboration (unpublished).
-
HPQCD Collaboration (unpublished).
-
-
-
-
51
-
-
0000663583
-
-
PYLBAJ 0370-2693 10.1016/0370-2693(81)90167-2
-
D.J. Broadhurst, Phys. Lett. 101B, 423 (1981). PYLBAJ 0370-2693 10.1016/0370-2693(81)90167-2
-
(1981)
Phys. Lett.
, vol.101
, pp. 423
-
-
Broadhurst, D.J.1
-
52
-
-
53349106116
-
-
Details of the calculation, as well as analytical results, will be presented in
-
Details of the calculation, as well as analytical results, will be presented in C. Sturm (unpublished).
-
-
-
Sturm, C.1
-
54
-
-
49749104822
-
-
JHEPFG 1029-8479 10.1088/1126-6708/2008/07/001
-
M. Czakon and T. Schutzmeier, J. High Energy Phys. JHEPFG 1029-8479 07 (2008) 001. 10.1088/1126-6708/2008/07/001
-
J. High Energy Phys.
, vol.2008
, Issue.7
, pp. 001
-
-
Czakon, M.1
Schutzmeier, T.2
|