Author:
Guruswamy Chaitra Kalmahalli,Meißner Ulf-G,Seng Chien-Yeah
Abstract
Abstract
Based on our analysis of the contributions from the connected and disconnected contraction diagrams to the pion-kaon scattering amplitude, we provide the first determination of the only free low-energy constant at
(
p
4
)
, known as
L
0
r
, in SU (4∣1) Partially-Quenched Chiral Perturbation theory using the data from the Extended Twisted Mass collaboration,
L
0
r
(
μ
=
M
ρ
)
=
0.77
(
20
)
(
25
)
(
7
)
(
7
)
(
2
)
·
10
−
3
. The theory uncertainties originate from the unphysical scattering length, the physical low-energy constants, the higher-order chiral corrections, the (lattice) meson masses and the pion decay constant, respectively.
Funder
Volkswagen Stiftung
EU Horizon 2020
Deutsche Forschungsgemeinschaft
National Natural Science Foundation of China
Chinese Academy of Sciences
Subject
Physics and Astronomy (miscellaneous)