2,249 research outputs found
Lattice study of semileptonic form factors with twisted boundary conditions
We apply twisted boundary conditions to lattice QCD simulations of
three-point correlation functions in order to access spatial components of
hadronic momenta different from the integer multiples of 2 pi / L. We calculate
the vector and scalar form factors relevant to the K -> pi semileptonic decay
and consider all the possible ways of twisting one of the quark lines in the
three-point functions. We show that the momentum shift produced by the twisted
boundary conditions does not introduce any additional noise and easily allows
to determine within a few percent statistical accuracy the form factors at
quite small values of the four-momentum transfer, which are not accessible when
periodic boundary conditions are considered. The use of twisted boundary
conditions turns out to be crucial for a precise determination of the form
factor at zero-momentum transfer, when a precise lattice point sufficiently
close to zero-momentum transfer is not accessible with periodic boundary
conditions.Comment: latex 15 pages, 4 figures and 3 tables; modified intro and
discussions of the results; version to appear in PR
Temperature dependence of spinon and holon excitations in one-dimensional Mott insulators
Motivated by the recent angle-resolved photoemission spectroscopy (ARPES)
measurements on one-dimensional Mott insulators, SrCuO and
NaVO, we examine the single-particle spectral weight
of the one-dimensional (1D) Hubbard model at half-filling. We are particularly
interested in the temperature dependence of the spinon and holon excitations.
For this reason, we have performed the dynamical density matrix renormalization
group and determinantal quantum Monte Carlo (QMC) calculations for the
single-particle spectral weight of the 1D Hubbard model. In the QMC data, the
spinon and holon branches become observable at temperatures where the
short-range antiferromagnetic correlations develop. At these temperatures, the
spinon branch grows rapidly. In the light of the numerical results, we discuss
the spinon and holon branches observed by the ARPES experiments on
SrCuO. These numerical results are also in agreement with the
temperature dependence of the ARPES results on NaVO.Comment: 8 pages, 8 figure
Improved estimates of rare K decay matrix-elements from Kl3 decays
The estimation of rare K decay matrix-elements from Kl3 experimental data is
extended beyond LO in Chiral Perturbation Theory. Isospin-breaking effects at
NLO (and partially NNLO) in the ChPT expansion, as well as QED radiative
corrections are now accounted for. The analysis relies mainly on the cleanness
of two specific ratios of form-factors, for which the theoretical control is
excellent. As a result, the uncertainties on the K+ --> pi+ nu nubar and KL -->
pi0 nu nubar matrix-elements are reduced by a factor of about 7 and 4,
respectively, and similarly for the direct CP-violating contribution to KL -->
pi0 l+ l-. They could be reduced even further with better experimental data for
the Kl3 slopes and the K+l3 branching ratios. As a result, the non-parametric
errors for B(K --> pi nu nubar) and for the direct CP-violating contributions
to B(KL --> pi0 l+ l-) are now completely dominated by those on the
short-distance physics.Comment: 16 pages, 1 figure. Numerical analysis updated to include the recent
Kl3 data. To appear in Phys. Rev.
Chiral Corrections to the Hyperon Vector Form Factors
We present the complete calculation of the SU(3)-breaking corrections to the
hyperon vector form factors up to O(p^4) in the Heavy Baryon Chiral
Perturbation Theory. Because of the Ademollo-Gatto theorem, at this order the
results do not depend on unknown low energy constants and allow to test the
convergence of the chiral expansion. We complete and correct previous
calculations and find that O(p^3) and O(1/M_0) corrections are important. We
also study the inclusion of the decuplet degrees of freedom, showing that in
this case the perturbative expansion is jeopardized. These results raise doubts
on the reliability of the chiral expansion for hyperons.Comment: 20 pages, 4 figures, v2: published versio
Nucleon decay matrix elements with the Wilson quark action: an update
We present preliminary results of a new lattice computation of hadronic
matrix elements of baryon number violating operators which appear in the
low-energy effective Lagrangian of (SUSY-)Grand Unified Theories. The
contribution of irrelevant form factor which has caused an underestimate of the
matrix elements in previous studies is subtracted in this calculation. Our
results are 24 times larger than the most conservative values often
employed in phenomenological analyses of nucleon decay with specific GUT
models.Comment: LATTICE99(matrixelements), 3 pages, 2 figure
Scalar K pi form factor and light quark masses
Recent experimental improvements on K-decay data allow for a precise
extraction of the strangeness-changing scalar K pi form factor and the related
strange scalar spectral function. On the basis of this scalar as well as the
corresponding pseudoscalar spectral function, the strange quark mass is
determined to be m_s(2 GeV) = 92 +- 9 MeV. Further taking into account chiral
perturbation theory mass ratios, the light up and down quark masses turn out to
be m_u(2 GeV) = 2.7 +- 0.4 MeV as well as m_d(2 GeV) = 4.8 +- 0.5 MeV. As a
by-product, we also find a value for the Cabibbo angle |V_{us}| = 0.2236(29)
and the ratio of meson decay constants F_K/F_\pi = 1.203(16). Performing a
global average of the strange mass by including extractions from other channels
as well as lattice QCD results yields m_s(2 GeV) = 94 +- 6 MeV.Comment: 5 pages, 2 figures; comparison with lattice and global average added;
version to appear in Phys. Rev.
Kaon semileptonic decay (K_{l3}) form factors from the instanton vacuum
We investigate the kaon semileptonic decay (K_{l3}) form factors within the
framework of the nonlocal chiral quark model from the instanton vacuum, taking
into account the effects of flavor SU(3) symmetry breaking. We also consider
the problem of gauge invariance arising from the momentum-dependent quark mass
in the present work. All theoretical calculations are carried out without any
adjustable parameter, the average instanton size (rho ~ 1/3 fm) and the
inter-instanton distance (R ~ 1 fm) having been fixed. We also show that the
present results satisfy the Callan-Treiman low-energy theorem as well as the
Ademollo-Gatto theorem. Using the K_{l3} form factors, we evaluate relevant
physical quantities. It turns out that the effects of flavor SU(3) symmetry
breaking are essential in reproducing the kaon semileptonic form factors. The
present results are in a good agreement with experiments, and are compatible
with other model calculations.Comment: 12 pages, 3 figures, submitted to PR
Resonant inelastic x-ray scattering in one-dimensional copper oxides
The Cu K-edge resonant inelastic x-ray scattering (RIXS) spectrum in
one-dimensional insulating cuprates is theoretically examined by using the
exact diagonalization technique for the extended one-dimensional
Hubbard model with nearest neighbor Coulomb interaction. We find the
following characteristic features that can be detectable by RIXS experiments:
(i) The spectrum with large momentum transfer indicates the formation of
excitons, i.e., bound states of holon and doublon. (ii) The spectrum with small
momentum transfer depends on the incident photon energy. We propose that the
RIXS provides a unique opportunity to study the upper
Hubbard band in one-dimensional cuprates.Comment: 3 pages with 4 figures, minor changes, to appear in Phys.Rev.
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