34,419 research outputs found
Staggered Chiral Perturbation Theory for Heavy-Light Mesons
We incorporate heavy-light mesons into staggered chiral perturbation theory,
working to leading order in 1/m_Q, where m_Q is the heavy quark mass. At first
non-trivial order in the chiral expansion, staggered taste violations affect
the chiral logarithms for heavy-light quantities only through the light meson
propagators in loops. There are also new analytic contributions coming from
additional terms in the Lagrangian involving heavy-light and light mesons.
Using this heavy-light staggered chiral perturbation theory, we perform the
one-loop calculation of the B (or D) meson leptonic decay constant in the
partially quenched and full QCD cases. In our treatment, we assume the validity
both of the "fourth root trick" to reduce four staggered tastes to one, and of
the prescription to represent this trick in the chiral theory by insertions of
factors of 1/4 for each sea quark loop.Comment: 48 pages, 6 figures. v3: Some clarifying comments/caveats added;
typos fixed. Corresponds to published versio
Comparing Parts with the Whole: Willingness to Pay for Pesticide-Free, Non-GM, and Organic Potatoes and Sweet Corn
Auction experiments were used to investigate demand relationships and willingness to pay (WTP) for four versions of potatoes and sweet corn—conventional, organic, and two parts of organic: no pesticides and non-genetically modified (non-GM). Elasticities showed strong and asymmetric substitute relationships between organic and its parts. Combined premiums of the parts were not significantly different than the whole organic premium, suggesting WTP for the attributes are not additive. A two-stage heteroskedastic tobit model found significant WTP for each part dependent on demographics and beliefs about conventional versions. Results suggest segments for parts of organic could be established alongside the whole.auction experiments, organic, pesticides, potatoes, sweet corn, willingness to pay, Demand and Price Analysis, Livestock Production/Industries,
Heavy-Light Semileptonic Decays in Staggered Chiral Perturbation Theory
We calculate the form factors for the semileptonic decays of heavy-light
pseudoscalar mesons in partially quenched staggered chiral perturbation theory
(\schpt), working to leading order in , where is the heavy quark
mass. We take the light meson in the final state to be a pseudoscalar
corresponding to the exact chiral symmetry of staggered quarks. The treatment
assumes the validity of the standard prescription for representing the
staggered ``fourth root trick'' within \schpt by insertions of factors of 1/4
for each sea quark loop. Our calculation is based on an existing partially
quenched continuum chiral perturbation theory calculation with degenerate sea
quarks by Becirevic, Prelovsek and Zupan, which we generalize to the staggered
(and non-degenerate) case. As a by-product, we obtain the continuum partially
quenched results with non-degenerate sea quarks. We analyze the effects of
non-leading chiral terms, and find a relation among the coefficients governing
the analytic valence mass dependence at this order. Our results are useful in
analyzing lattice computations of form factors and when the
light quarks are simulated with the staggered action.Comment: 53 pages, 8 figures, v2: Minor correction to the section on finite
volume effects, and typos fixed. Version to be published in Phys. Rev.
Estimation of Sorting Time for Arthropod Samples Collected with Tullgren Funnels
Arthropods were sorted from samples obtained with Tullgren funnels. Each sorter maintained a log of time per session and arthropods removed per session. Five individuals removed all arthropods from 12 separate samples and sorted them into previously designated class or ordinal taxa. Each sample was sorted by a single student. Students were allowed to develop their own approaches to sorting and do it as time permitted. Mean sorting rate per sample was 2.43 arthropods per minute, with a range of 1.42-5.64, while mean sorting rate for a sorting session was 3.41 specimens per minute. Specimen density was only weakly correlated with sort time. Fatigue did not appear to be a major factor in sorting rate, as indicated by the similarity of the linear and quadratic coefficients of determination for each sample
Semileptonic Kaon Decay in Staggered Chiral Perturbation Theory
The determination of from kaon semileptonic decays
requires the value of the form factor , which can be calculated
precisely on the lattice. We provide the one-loop partially quenched staggered
chiral perturbation theory expressions that may be employed to analyze
staggered simulations of with three light flavors. We consider both
the case of a mixed action, where the valence and sea sectors have different
staggered actions, and the standard case where these actions are the same. The
momentum transfer of the form factor is allowed to have an arbitrary
value. We give results for the generic situation where the , , and
quark masses are all different, , and for the isospin limit,
. The expression we obtain for is independent of the mass
of the (valence) spectator quark. In the limit of vanishing lattice spacing,
our results reduce to the one-loop continuum partially quenched expression for
, which has not previously been reported in the literature for the
case. Our expressions have already been used in staggered lattice
analyses of , and should prove useful in future calculations as well.Comment: 33 pages, 5 figures; v2: some referencing change
Staggered Chiral Perturbation Theory and the Fourth-Root Trick
Staggered chiral perturbation theory (schpt) takes into account the
"fourth-root trick" for reducing unwanted (taste) degrees of freedom with
staggered quarks by multiplying the contribution of each sea quark loop by a
factor of 1/4. In the special case of four staggered fields (four flavors,
nF=4), I show here that certain assumptions about analyticity and phase
structure imply the validity of this procedure for representing the rooting
trick in the chiral sector. I start from the observation that, when the four
flavors are degenerate, the fourth root simply reduces nF=4 to nF=1. One can
then treat nondegenerate quark masses by expanding around the degenerate limit.
With additional assumptions on decoupling, the result can be extended to the
more interesting cases of nF=3, 2, or 1. A apparent paradox associated with the
one-flavor case is resolved. Coupled with some expected features of unrooted
staggered quarks in the continuum limit, in particular the restoration of taste
symmetry, schpt then implies that the fourth-root trick induces no problems
(for example, a violation of unitarity that persists in the continuum limit) in
the lowest energy sector of staggered lattice QCD. It also says that the theory
with staggered valence quarks and rooted staggered sea quarks behaves like a
simple, partially-quenched theory, not like a "mixed" theory in which sea and
valence quarks have different lattice actions. In most cases, the assumptions
made in this paper are not only sufficient but also necessary for the validity
of schpt, so that a variety of possible new routes for testing this validity
are opened.Comment: 39 pages, 3 figures. v3: minor changes: improved explanations and
less tentative discussion in several places; corresponds to published versio
\u3ci\u3eCryptopygus Bipunctatus\u3c/i\u3e (Collembola: Isotomidae) in North America, and \u3ci\u3eC. Posteroculatus\u3c/i\u3e N. Comb.
Specimens of Cryptopygus bipunctatus are reported and described from North America (Michigan) for the first time. The species is easily recognized by its lack of color, one pair of ocelli on black eyespots, and one flair of ventral manubrial setae. Michigan and European specimens are very· similar. A very similar Polish species, Isotomina posteroculata, is transferred to Cryptopygus
A note on the power divergence in lattice calculations of amplitudes at
In this note, we clarify a point concerning the power divergence in lattice
calculations of decay amplitudes. There have been
worries that this divergence might show up in the Minkowski amplitudes at
with all the mesons at rest. Here we demonstrate, via an
explicit calculation in leading-order Chiral Perturbation Theory, that the
power divergence is absent at the above kinematic point, as predicted by CPS
symmetry.Comment: 5 pages, 2 figure
Analytic estimates for penguin operators in quenched QCD
Strong penguin operators are singlets under the right-handed flavor symmetry
group SU(3)_R. However, they do not remain singlets when the operator is
embedded in (partially) quenched QCD, but instead they become linear
combinations of two operators with different transformation properties under
the (partially) quenched symmetry group. This is an artifact of the quenched
approximation. Each of these two operators is represented by a different set of
low-energy constants in the chiral effective theory. In this paper, we give
analytic estimates for the leading low-energy constants, in quenched and
partially quenched QCD. We conclude that the effects of quenching on Q_6 are
large.Comment: 6 pages. Typo fixed and an explanatory footnote adde
A Lattice Study of the Gluon Propagator in Momentum Space
We consider pure glue QCD at beta=5.7, beta=6.0 and beta=6.3. We evaluate the
gluon propagator both in time at zero 3-momentum and in momentum space. From
the former quantity we obtain evidence for a dynamically generated effective
mass, which at beta=6.0 and beta=6.3 increases with the time separation of the
sources, in agreement with earlier results. The momentum space propagator G(k)
provides further evidence for mass generation. In particular, at beta=6.0, for
k less than 1 GeV, the propagator G(k) can be fit to a continuum formula
proposed by Gribov and others, which contains a mass scale b, presumably
related to the hadronization mass scale. For higher momenta Gribov's model no
longer provides a good fit, as G(k) tends rather to follow an inverse power
law. The results at beta=6.3 are consistent with those at beta=6.0, but only
the high momentum region is accessible on this lattice. We find b in the range
of three to four hundred MeV and the exponent of the inverse power law about
2.7. On the other hand, at beta=5.7 (where we can only study momenta up to 1
GeV) G(k) is best fit to a simple massive boson propagator with mass m. We
argue that such a discrepancy may be related to a lack of scaling for low
momenta at beta=5.7. {}From our results, the study of correlation functions in
momentum space looks promising, especially because the data points in Fourier
space turn out to be much less correlated than in real space.Comment: 19 pages + 12 uuencoded PostScript picture
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