235 research outputs found
Survival, extinction and approximation of discrete-time branching random walks
We consider a general discrete-time branching random walk on a countable set
X. We relate local, strong local and global survival with suitable inequalities
involving the first-moment matrix M of the process. In particular we prove
that, while the local behavior is characterized by M, the global behavior
cannot be completely described in terms of properties involving M alone.
Moreover we show that locally surviving branching random walks can be
approximated by sequences of spatially confined and stochastically dominated
branching random walks which eventually survive locally if the (possibly
finite) state space is large enough. An analogous result can be achieved by
approximating a branching random walk by a sequence of multitype contact
processes and allowing a sufficiently large number of particles per site. We
compare these results with the ones obtained in the continuous-time case and we
give some examples and counterexamples.Comment: 32 pages, a few misprints have been correcte
A Non-parametric Approach to the D+ to K*0bar mu+ nu Form Factors
Using a large sample of D+ -> K- pi+ mu+ nu decays collected by the FOCUS
photoproduction experiment at Fermilab, we present the first measurements of
the helicity basis form factors free from the assumption of spectroscopic pole
dominance. We also present the first information on the form factor that
controls the s-wave interference discussed in a previous paper by the FOCUS
collaboration. We find reasonable agreement with the usual assumption of
spectroscopic pole dominance and measured form factor ratios.Comment: 14 pages, 5 figures, and 2 tables. We updated the previous version by
changing some words, removing one plot, and adding two tables. These changes
are mostly stylisti
Search for and Using Genetic Programming Event Selection
We apply a genetic programming technique to search for the double Cabibbo
suppressed decays and .
We normalize these decays to their Cabibbo favored partners and find
\Lambda_c^+ \to p K^+ \pi^-\Lambda_c^+ \to p K^-
\pi^+ and D_s^+ \to K^+ K^+
\pi^-D_s^+ \to K^+ K^- \pi^+ where
the first errors are statistical and the second are systematic. Expressed as
90% confidence levels (CL), we find and respectively.
This is the first successful use of genetic programming in a high energy
physics data analysis.Comment: 10 page
Study of the D^0 \to pi^-pi^+pi^-pi^+ decay
Using data from the FOCUS (E831) experiment at Fermilab, we present new
measurements for the Cabibbo-suppressed decay mode . We measure the branching ratio .
An amplitude analysis has been performed, a first for this channel, in order to
determine the resonant substructure of this decay mode. The dominant component
is the decay , accounting for 60% of the decay rate.
The second most dominant contribution comes from the decay , with a fraction of 25%. We also study the
line shape and resonant substructure. Using the helicity formalism for the
angular distribution of the decay , we measure
a longitudinal polarization of %.Comment: 38 pages, 8 figures. accepted for publication in Physical Review
Dalitz plot analysis of D_s+ and D+ decay to pi+pi-pi+ using the K-matrix formalism
FOCUS results from Dalitz plot analysis of D_s+ and D+ to pi+pi-pi+ are
presented. The K-matrix formalism is applied to charm decays for the first time
to fully exploit the already existing knowledge coming from the light-meson
spectroscopy experiments. In particular all the measured dynamics of the S-wave
pipi scattering, characterized by broad/overlapping resonances and large
non-resonant background, can be properly included. This paper studies the
extent to which the K-matrix approach is able to reproduce the observed Dalitz
plot and thus help us to understand the underlying dynamics. The results are
discussed, along with their possible implications on the controversial nature
of the sigma meson.Comment: To be submitted to Phys.Lett.B A misprint corrected in formula
Measurement of the branching ratio of the decay D^0 -> \pi^-\mu^+\nu relative to D^0 -> K^-\mu^+\nu
We present a new measurement of the branching ratio of the Cabibbo suppressed
decay D^0\to \pi^-\mu^+\nu relative to the Cabibbo favored decay D^0\to
K^-\mu^+\nu and an improved measurement of the ratio
|\frac{f_+^{\pi}(0)}{f_+^{K}(0)}|. Our results are 0.074 \pm 0.008 \pm 0.007
for the branching ratio and 0.85 \pm 0.04 \pm 0.04 \pm 0.01 for the form factor
ratio, respectively.Comment: 13pages, 3 figure
A Non-parametric Approach to Measuring the \kpi{} Amplitudes in \dpkkpi{} Decay
Using a large sample of \dpkkpi{} decays collected by the FOCUS
photoproduction experiment at Fermilab, we present the first non-parametric
analysis of the \kpi{} amplitudes in \dpkkpi{} decay. The technique is similar
to the technique used for our non-parametric measurements of the \krzmndk{}
form factors. Although these results are in rough agreement with those of E687,
we observe a wider S-wave contribution for the \ksw{} contribution than the
standard, PDG \cite{pdg} Breit-Wigner parameterization. We have some weaker
evidence for the existence of a new, D-wave component at low values of the mass.Comment: 13 pages 3 figure
Measurements of Six-Body Hadronic Decays of the D^0 Charmed Meson
Using data collected by the FOCUS experiment at Fermilab, we report the
discovery of the decay modes D^0 --> K- pi+ pi+ pi+ pi- pi- and D^0 --> pi+ pi+
pi+ pi- pi- pi-. With a sample of 48 +/- 10 reconstructed D^0 --> K- pi+ pi+
pi+ pi- pi- decays and 149 +/- 17 reconstructed D^0 --> pi+ pi+ pi+ pi- pi- pi-
decays, we measure the following relative branching ratios:
The first errors are statistical and the second are systematic. The branching
fraction of the Cabibbo suppressed six-body decay mode is measured to be a
factor of two higher than the branching fraction of the Cabibbo favored
six-body decay mode.Comment: To be submitted to Phys. Lett.
Application of Genetic Programming to High Energy Physics Event Selection
We review genetic programming principles, their application to FOCUS data
samples, and use the method to study the doubly Cabibbo suppressed decay D+ ->
K+ pi+ pi- relative to its Cabibbo favored counterpart, D+ -> K- pi+ pi+. We
find that this technique is able to improve upon more traditional analysis
methods. To our knowledge, this is the first application of the genetic
programming technique to High Energy Physics data.Comment: 39 page
Study of the decay asymmetry parameter and CP violation parameter in the Lambdac+ --> Lambda pi+ decay
Using data from the FOCUS (E831) experiment at Fermilab, we present a new
measurement of the weak decay-asymmetry parameter alpha(Lambdac) in Lambdac -->
Lambda pi decay. Comparing particle with antiparticle decays, we obtain the
first measurement of the CP violation parameter : A =
[alpha(Lambdac)+alpha(antiLambda_c)]/[alpha(Lambdac)-alpha(antiLambda_c)]. We
obtain alpha(Lambdac)=-0.78+-0.16+-0.13 and A = -0.07+-0.19+-0.12 where errors
are statistical and systematic.Comment: 18 pages, to be submitted to Phys. Lett. B For a list of the FOCUS
collaboration, see http://www-focus.fnal.gov/authors.htm
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