We study the light quark mass dependence of the f\_0(600), kappa(800),
rho(770) and K*(892) resonance parameters generated from elastic meson-meson
scattering using unitarized one-loop Chiral Perturbation Theory. First, we show
that it is possible to fit simultaneously all experimental scattering data up
to 0.8-1 GeV together with lattice results on decay constants and scattering
lengths up to a pion mass of 400 MeV, using chiral parameters compatible with
existing determinations. Then, the strange and non-strange quark masses are
varied from the chiral limit up to values of interest for lattice studies. In
these amplitudes, the mass and width of the rho(770) and K*(892) present a
similar and smooth quark mass dependence. In contrast, both scalars present a
similar non-analyticity at high quark masses. Nevertheless, the f\_0(600)
dependence on the non-strange quark mass is stronger than for the kappa(800)
and the vectors. We also confirm the lattice assumption of quark mass
independence of the vector two-meson coupling that, in contrast, is violated
for scalars. As a consequence, vector widths are very well approximated by the
KSRF relation, and their masses are shown to scale like their corresponding
meson decay constants.
%0 Journal Article
%1 Nebreda2010Strange
%A Nebreda, J.
%A Pelaez,
%D 2010
%K chiralpert, resonance
%T Strange and non-strange quark mass dependence of elastic light resonances from SU(3) Unitarized Chiral Perturbation Theory to one loop
%U http://arxiv.org/abs/1001.5237
%X We study the light quark mass dependence of the f\_0(600), kappa(800),
rho(770) and K*(892) resonance parameters generated from elastic meson-meson
scattering using unitarized one-loop Chiral Perturbation Theory. First, we show
that it is possible to fit simultaneously all experimental scattering data up
to 0.8-1 GeV together with lattice results on decay constants and scattering
lengths up to a pion mass of 400 MeV, using chiral parameters compatible with
existing determinations. Then, the strange and non-strange quark masses are
varied from the chiral limit up to values of interest for lattice studies. In
these amplitudes, the mass and width of the rho(770) and K*(892) present a
similar and smooth quark mass dependence. In contrast, both scalars present a
similar non-analyticity at high quark masses. Nevertheless, the f\_0(600)
dependence on the non-strange quark mass is stronger than for the kappa(800)
and the vectors. We also confirm the lattice assumption of quark mass
independence of the vector two-meson coupling that, in contrast, is violated
for scalars. As a consequence, vector widths are very well approximated by the
KSRF relation, and their masses are shown to scale like their corresponding
meson decay constants.
@article{Nebreda2010Strange,
abstract = {{We study the light quark mass dependence of the f\_0(600), kappa(800),
rho(770) and K*(892) resonance parameters generated from elastic meson-meson
scattering using unitarized one-loop Chiral Perturbation Theory. First, we show
that it is possible to fit simultaneously all experimental scattering data up
to 0.8-1 GeV together with lattice results on decay constants and scattering
lengths up to a pion mass of 400 MeV, using chiral parameters compatible with
existing determinations. Then, the strange and non-strange quark masses are
varied from the chiral limit up to values of interest for lattice studies. In
these amplitudes, the mass and width of the rho(770) and K*(892) present a
similar and smooth quark mass dependence. In contrast, both scalars present a
similar non-analyticity at high quark masses. Nevertheless, the f\_0(600)
dependence on the non-strange quark mass is stronger than for the kappa(800)
and the vectors. We also confirm the lattice assumption of quark mass
independence of the vector two-meson coupling that, in contrast, is violated
for scalars. As a consequence, vector widths are very well approximated by the
KSRF relation, and their masses are shown to scale like their corresponding
meson decay constants.}},
added-at = {2019-02-23T22:09:48.000+0100},
archiveprefix = {arXiv},
author = {Nebreda, J. and Pelaez},
biburl = {https://www.bibsonomy.org/bibtex/2152d81f70464e5722067dbbfbcbfff16/cmcneile},
citeulike-article-id = {6602768},
citeulike-linkout-0 = {http://arxiv.org/abs/1001.5237},
citeulike-linkout-1 = {http://arxiv.org/pdf/1001.5237},
day = 28,
eprint = {1001.5237},
interhash = {a8affbe8151dbb577b99f24195077245},
intrahash = {152d81f70464e5722067dbbfbcbfff16},
keywords = {chiralpert, resonance},
month = jan,
posted-at = {2010-01-29 09:27:53},
priority = {2},
timestamp = {2019-02-23T22:15:27.000+0100},
title = {{Strange and non-strange quark mass dependence of elastic light resonances from SU(3) Unitarized Chiral Perturbation Theory to one loop}},
url = {http://arxiv.org/abs/1001.5237},
year = 2010
}