Continuum extrapolation of $B_K$ with staggered fermions
| Autor: | Lee, Weonjong, Jang, Yong-Chull, Kim, Hyung-Jin, Kim, Jangho, Kim, Kwangwoo, Yoon, Boram, Bae, Taegil, Jung, Chulwoo, Kim, Jongjeong, Sharpe, Stephen R., Collaboration, SWME |
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| Rok vydání: | 2011 |
| Předmět: | |
| Zdroj: | PoS (LATTICE 2011) 316 |
| Druh dokumentu: | Working Paper |
| Popis: | We report on recent progress in the calculation of $B_K$ using HYP-smeared staggered fermions on the MILC asqtad lattices. Our main focus is on the continuum extrapolation, which is done using (up to) four different lattice spacings---$a\approx$ 0.12, 0.09, 0.06 and 0.045 fm. Since Lattice 2010, we have reduced the statistical errors on the $a\approx 0.09\;$fm lattices by a factor of $\sim 3$, and roughly doubled the size of the $a\approx0.045\;$fm ensemble. We find that these improvements have a very significant impact on the continuum extrapolation, with the $a\approx 0.12\;$fm data lying outside the range of applicability of simple functional forms. Hence we use only the three smallest lattice spacings to perform the extrapolation, finding $\hat{B}_K = B_K(\text{RGI}) = 0.725 \pm 0.004(\text{stat}) \pm 0.038(\text{sys}) $. This value is consistent with our published value from 2010 (based the three coarsest lattice spacings), but has smaller errors. Comment: 7 pages, 6 figures, references updated |
| Databáze: | arXiv |
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