Speaker
Dr
Xiao-Yu Guo
(GSI HELMHOLZZENTRUM)
Description
We study the dependence of meson masses and decay constants on
the up, down and strange quark masses [1,2,3]. The role of dynamical vector
meson degrees of freedom is scrutinized in terms of an effective chiral
Lagrangian based on the hadrogenesis conjecture. At the
one-loop level, we derive the chiral corrections to the self-energies of
the Goldstone bosons and vector mesons as well as the decay constants
of the Goldstone bosons. It is illustrated that an order-by-order
renormalizability arises once specific conditions
on the low-energy constants are imposed. We consider QCD lattice data from PACS,
QCDSF-UKQCD and HSC on the vector meson masses.
Particular attention is paid to the $\omega-\phi$ mixing phenomenon,
which is demonstrated to show a strong mass dependence.
The pion and kaon decay constants on lattice ensembles of HPQCD,
CLS and ETMC are well reproduced. It is illustrated that dynamical
vector mesons lead to significant impact on Gasser and Leutwyler’s LECs.
[1] R. Bavontaweepanya, X.-Y. Guo, M.F.M. Lutz, Phys.Rev.D98 (2018) 056005.
[2] X.-Y. Guo, M.F.M. Lutz, Nucl.Phys.A in print, arXiv:1810.07376 [hep-lat].
[3] X.-Y. Guo, M.F.M. Lutz, Nucl.Phys.A in print, arXiv:1811.00478 [hep-lat].
Primary author
Dr
Xiao-Yu Guo
(GSI HELMHOLZZENTRUM)
Co-author
Prof.
M.F.M. Lutz
(GSI HELMHOLZZENTRUM)
