Ds results for the 01/05, 02/05, and 03/05 lattices
Ds Param Prior 01/05 fit (593 conf) 02/05 fit (460 conf) 03/05 fit (549 conf)
E0 1.1600 +- 0.6309 1.1479+0.0008-0.0007 1.1373+0.0008-0.0009 1.1308+0.0008-0.0009
e^E0Z1 2.1170 +3.6376 -1.3382 2.0059+0.0075-0.0092 2.0103+0.0082-0.0138 2.0293+0.0055-0.0098
E1-E0 0.2234 +- 0.1117 0.2280+0.0168-0.0200 0.2633+0.0182-0.0331 0.2625+0.0253-0.0477
e^E1Z1 1.0000 +1.7183 -0.6321 0.6080+0.0334-0.0432 0.6555+0.0423-0.0794 0.6579+0.0579-0.1230
E2-E0 0.4487 +- 0.2564 0.6098+0.2246-0.1533 0.5224+0.2258-0.1999 0.5878+0.2390-0.1824
e^E2Z1 1.0000 +1.7183 -0.6321 0.5986+0.2658-0.1734 0.5548+0.2139-0.0897 0.5589+0.1938-0.1010
E3-E1 0.4487 +- 0.2564 0.6210+0.2834-0.1729 0.5029+0.2507-0.1254 0.4563+0.2738-0.1207
e^E3Z1 1.0000 +1.7183 -0.6321 0.4755+0.2300-0.1373 0.4380+0.2038-0.1053 0.4445+0.2065-0.1272
E4-E2 0.4487 +- 0.2564 0.4713+0.1553-0.0983 0.5982+0.4358-0.1631 0.5843+0.4039-0.1666
e^E4Z1 1.0000 +1.7183 -0.6321 1.0239+0.3572-0.3103 1.1098+0.6756-0.3100 1.1163+0.7127-0.3327
E5-E3 0.4487 +- 0.2564 0.4870+0.1727-0.1113 0.4826+0.1834-0.1129 0.4822+0.1813-0.1169
e^E5Z1 1.0000 +1.7183 -0.6321 0.7338+0.4023-0.2301 0.5153+0.2533-0.1149 0.4782+0.2118-0.1208
Ds* Param Prior 01/05 fit (593 conf) 02/05 fit (460 conf) 03/05 fit (549 conf)
E0 1.2500 +- 0.6771 1.2273+0.0013-0.0016 1.2181+0.0017-0.0021 1.2123+0.0014-0.0015
e^E0Z1 2.7183 +4.6708 -1.7183 3.1585+0.0199-0.0263 3.1964+0.0198-0.0409 3.2100+0.0185-0.0263
E1-E0 0.2247 +- 0.1124 0.2611+0.0127-0.0209 0.2439+0.0209-0.0465 0.2616+0.0158-0.0634
e^E1Z1 1.0000 +1.7183 -0.6321 1.8061+0.0747-0.1086 1.6994+0.1433-0.3248 1.8285+0.1098-0.4497
E2-E0 0.4487 +- 0.2564 0.4901+0.2174-0.1188 0.5476+0.3933-0.2573 0.5123+0.1810-0.1078
e^E2Z1 1.0000 +1.7183 -0.6321 0.9666+0.5310-0.3720 0.7341+0.4205-0.2025 0.9139+0.4748-0.3335
E3-E1 0.4487 +- 0.2564 0.4711+0.2049-0.1087 0.3768+0.1104-0.0825 0.4006+0.1809-0.1329
e^E3Z1 1.0000 +1.7183 -0.6321 0.9186+0.4241-0.3563 1.1119+0.5339-0.5165 0.9827+0.6770-0.4221
E4-E2 0.4487 +- 0.2564 0.4431+0.1450-0.0864 0.5336+0.2765-0.1336 0.4564+0.1819-0.0944
e^E4Z1 1.0000 +1.7183 -0.6321 1.5482+0.6085-0.7629 1.7883+1.1619-0.7392 1.5049+0.6261-0.7430
E5-E3 0.4487 +- 0.2564 0.4487+0.1436-0.0891 0.4461+0.1587-0.0981 0.4516+0.1551-0.0986
e^E5Z1 1.0000 +1.7183 -0.6321 1.0740+0.7254-0.4333 0.7389+0.3012-0.2467 0.7896+0.3040-0.3009
There was a slight anomaly when fitting the 02/05 dataset: the fit list below most of the points.
For examples, see plots of the
fit with the leading exponential scaled out, or of (data-fit)/fit.
The problem only occurred with the 02/05 dataset. I believe it is simply a result of correlations.
Ds decay constant fits
The following results are for fits to the 1S-1S smearing of the pi data, and the d-1S smearing of the A4 data.
Param Prior 007/05 fit (403 conf) 01/05 fit (593 conf) 02/05 fit (460 conf) 03/05 fit (549 conf)
E0 1.160000 +- 0.630929 1.1420 0.0027 0.0031 1.1480 0.0010 0.0012 1.1366 0.0013 0.0012 1.1309 0.0012 0.0009
E0Z1 2.000000 +- 3.000000 1.9603 0.0226 0.0351 2.0037 0.0085 0.0124 1.9996 0.0103 0.0153 2.0250 0.0082 0.0079 (P5-P5 coeff)
E0Z2 1.000000 +- 3.000000 0.1635 0.0025 0.0039 0.1693 0.0009 0.0012 0.1654 0.0009 0.0014 0.1668 0.0008 0.0008 (A4-P5 coeff)
E1-E0 0.223397 +- 0.111699 0.2633 0.0194 0.0378 0.2468 0.0242 0.1306 0.2921 0.0175 0.0331 0.1577 0.0980 0.0576
E1Z1 1.000000 +- 3.000000 0.7307 0.0278 0.0597 0.6419 0.0430 0.3476 0.7152 0.0212 0.0734 0.2537 0.4298 0.2408
E1Z2 1.000000 +- 3.000000 0.2797 0.0423 0.1025 0.2468 0.0390 0.1694 0.3135 0.0280 0.0640 0.0468 0.2152 0.2951
E2-E0 0.448718 +- 0.256410 0.3414 0.0904 0.0974 0.5577 0.0720 0.0629 0.4781 0.1231 0.0532 0.5379 0.0876 0.0521
E2Z1 1.000000 +- 3.000000 0.8456 0.0916 0.0633 0.7898 0.0578 0.0372 0.7951 0.0856 0.0326 0.7649 0.0743 0.0508
E2Z2 1.000000 +- 3.000000 0.1135 0.0121 0.0097 0.1434 0.0166 0.0151 0.1338 0.0279 0.0086 0.1324 0.0182 0.0078
E3-E1 0.448718 +- 0.256410 0.2316 0.3981 0.1243 0.2724 0.1305 0.0843 0.4571 0.5667 0.2355 0.1605 0.1395 0.0108
E3Z1 1.000000 +- 3.000000 0.0260 0.5307 0.0364 -0.2752 0.1621 0.3882 -0.0469 0.0467 0.4534 -0.6806 0.5943 0.0584
E3Z2 1.000000 +- 3.000000 1.2735 1.7987 0.8381 -0.3662 0.0857 0.5901 -0.4663 1.2976 1.1180 -0.3306 0.0123 0.8077