Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Calculation of the continuum--lattice HQET matching for the complete
  basis of four--fermion operators: reanalysis of the $B^{0}$-$\bar{B}^{0}$
  mixing   In this work, we find the expressions of continuum HQET four-fermion
operators in terms of lattice operators in perturbation theory. To do so, we
calculate the one--loop continuum--lattice HQET matching for the complete basis
of $\Delta B=2$ and $\Delta B=0$ operators (excluding penguin diagrams),
extending and completing previous studies. We have also corrected some errors
in previous evaluations of the matching for the operator $O_{LL}$. Our results
are relevant to the lattice computation of the values of unknown hadronic
matrix elements which enter in many very important theoretical predictions in
$B$--meson phenomenology: $B^{0}$-$\bar{B}^{0}$ mixing, $\tau_{B}$ and
$\tau_{B_{s}}$ lifetimes, SUSY effects in $\Delta B=2$ transitions and the
$B_{s}$ width difference $\Delta \Gamma_{B_{s}}$. We have reanalyzed our
lattice data for the $B_{B}$ parameter of the $B^{0}$-$\bar{B}^{0}$ mixing on
600 lattices of size $24^{3}\times 40$ at $\beta=6.0$ computed with the
SW-Clover and HQET lattice actions. We have used the correct lattice--continuum
matching factors and boosted perturbation theory with tadpole improved
heavy--light operators to reduce the systematic error in the evaluation of the
renormalization constants. Our best estimate of the renormalization scale
independent $B$--parameter is $\hat{B}_{B} = 1.29 \pm 0.08 \pm 0.06$, where the
first error is statistical and the second is systematic coming from the
uncertainty in the determination of the renormalization constants. Our result
is in good agreement with previous results obtained by extrapolating Wilson
data. As a byproduct, we also obtain the complete one--loop anomalous dimension
matrix for four--fermion operators in the HQET.

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The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc