4,973 research outputs found
Decay channels and charmonium mass-shifts
The discovery in the last few years of the and states of the
extended charmonium family has highlighted the importance of the closeness of
decay channels to an understanding of these mesons. We aid this debate by
illustrating a simple calculational procedure for including the effect of open
and nearby closed channels.Comment: 4 pages, 2 figures Revised version: (1) corrected 2 typos in Table
II, (2) additional text in penultimate paragraph to clarify the calculation
of mass-shifts for and . We thank colleagues for pointing
out confusing wording of previous tex
Structure of the lightest scalar meson from the 1/Nc expansion of Unitarized Chiral Perturbation Theory and Regge Theory
One-loop unitarized Chiral Perturbation Theory (UChPT) calculations, suggest
a different Nc behaviour for the sigma or f_0(600) and rho(770) mesons: while
the rho meson becomes narrower with Nc, as is expected for a q-qbar meson, the
sigma becomes broader, and its contribution to the total cross section is less
and less important. On the other hand, local duality requires a cancellation
between the sigma and rho amplitudes, but if there is a different Nc behaviour
for them, there is a possible contradiction between the Inverse Amplitude
Method (IAM) and local duality for large Nc. However, next to next to leading
order UChPT calculations suggested a subdominant q-qbar component for the sigma
with a mass around 1.2 GeV. In this work, we show that this subdominant q-qbar
component is indeed needed to ensure local duality.Comment: To appear in the Proceedings of the Hadron09 International
Conference. 29th Nov-4th Dec. 2009. Tallahassee, FL, USA. 5 page
Chiral two-loop pion-pion scattering parameters from crossing-symmetric constraints
Constraints on the parameters in the one- and two-loop pion-pion scattering
amplitudes of standard chiral perturbation theory are obtained from explicitly
crossing-symmetric sum rules. These constraints are based on a matching of the
chiral amplitudes and the physical amplitudes at the symmetry point of the
Mandelstam plane. The integrals over absorptive parts appearing in the sum
rules are decomposed into crossing-symmetric low- and high-energy components
and the chiral parameters are finally related to high-energy absorptive parts.
A first application uses a simple model of these absorptive parts. The
sensitivity of the results to the choice of the energy separating high and low
energies is examined with care. Weak dependence on this energy is obtained as
long as it stays below ~560 MeV. Reliable predictions are obtained for three
two-loop parameters.Comment: 23 pages, 4 figures in .eps files, Latex (RevTex), our version of
RevTex runs under Latex2.09, submitted to Phys. Rev. D,minor typographical
corrections including the number at the end of the abstract, two sentences
added at the end of Section 5 in answer to a referee's remar
Research and education in management of large- scale technical programs Semiannual progress report
Research and education in management of large scale technical programs - education and integration of interdisciplinary tea
Bootstrapping six-gluon scattering in planar super-Yang-Mills theory
We describe the hexagon function bootstrap for solving for six-gluon
scattering amplitudes in the large limit of super-Yang-Mills
theory. In this method, an ansatz for the finite part of these amplitudes is
constrained at the level of amplitudes, not integrands, using boundary
information. In the near-collinear limit, the dual picture of the amplitudes as
Wilson loops leads to an operator product expansion which has been solved using
integrability by Basso, Sever and Vieira. Factorization of the amplitudes in
the multi-Regge limit provides additional boundary data. This bootstrap has
been applied successfully through four loops for the maximally helicity
violating (MHV) configuration of gluon helicities, and through three loops for
the non-MHV case.Comment: 15 pages, 3 figures, 2 tables; contribution to the proceedings of
Loops and Legs in Quantum Field Theory, 27 April - 2 May 2014, Weimar,
Germany; v2, reference adde
Technology and management of large-scale programs Semiannual progress report
Technology and management of large scale program
Numerical cancellation of photon quadratic divergence in the study of the Schwinger-Dyson equations in Strong Coupling QED
The behaviour of the photon renormalization function in strong coupling QED
has been recently studied by Kondo, Mino and Nakatani. We find that the sharp
decrease in its behaviour at intermediate photon momenta is an artefact of the
method used to remove the quadratic divergence in the vacuum polarization. We
discuss how this can be avoided in numerical studies of the Schwinger-Dyson
equations.Comment: 9 pages, Latex, 5 figures. Complete postscript file available from:
ftp://cpt1.dur.ac.uk/pub/preprints/dtp94/dtp94100/dtp94100.p
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