Testing improved staggered fermions with m(s) and B(K)

Lee, Weonjong; Bhattacharya, Tanmoy; Fleming, George Tamminga; Gupta, Rajan; Kilcup, Gregory; Sharpe, Stephen R.

doi:10.1103/PhysRevD.71.094501

Testing improved staggered fermions with m(s) and B(K)

Weonjong Lee
(
- Seoul Natl. U.
)
,
Tanmoy Bhattacharya
(
- Los Alamos
)
,
George Tamminga Fleming
(
- Jefferson Lab
)
,
Rajan Gupta
(
- Los Alamos
)
,
Gregory Kilcup
(
- Ohio State U.
)

Sep, 2004

4 pages

Published in:

Phys.Rev.D 71 (2005) 094501

e-Print:

hep-lat/0409047 [hep-lat]

DOI:

10.1103/PhysRevD.71.094501

Report number:

SNUTP-04-008,
UW-PT-04-11,
LA-UR-04-4788,
JLAB-THY-04-56

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Abstract: (arXiv)

We study the improvement of staggered fermions using hypercubically smeared (HYP) links. We calculate the strange quark mass and the kaon B-parameter,

B_K

, in quenched QCD on a

16^3 \times 64

lattice at

\beta=6.0

. We find

m_s(\bar{\rm MS},2 {\rm GeV})=101.2\pm1.3\pm4

MeV and

B_K(\bar{\rm MS},2 {\rm GeV}) = 0.578 \pm 0.018\pm 0.042

, where the first error is from statistics and fitting, and the second from using one-loop matching factors. The scale (

1/a=1.95

GeV) is set by

M_\rho

, and

m_s

is determined using the kaon mass. Comparing to quenched results obtained using unimproved staggered fermions and other discretizations, we argue that the size of discretization errors in

B_K

is substantially reduced by improvement.

Note:

9 pages, 12 figure, referee's comments are incorporated

12.38.Gc
12.38.Aw
11.15.Ha
fermion: lattice field theory
gauge field theory: SU(3)
approximation: quenching
mass: strangeness
K: B-parameter
pi: mass
rho(770): mass

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