Unitary covariant equations for the baryon and pseudoscalar meson mass tensors

1964 ◽  
Vol 34 (3) ◽  
pp. 607-618
Author(s):  
G. Rosen
2015 ◽  
Vol 92 (11) ◽  
Author(s):  
Xiao-Yong Jin ◽  
Yoshinobu Kuramashi ◽  
Yoshifumi Nakamura ◽  
Shinji Takeda ◽  
Akira Ukawa

Author(s):  
Kei Iida ◽  
Etsuko Itou ◽  
Tong-Gyu Lee

Abstract We determine the scale setting function and the pseudo-critical temperature on the lattice in Nf = 2 two-color QCD using the Iwasaki gauge and Wilson fermion actions. Although two-color QCD does not correspond to the real world, it is very useful as a good testing ground for three-color QCD. The scale setting function gives the relative lattice spacings of simulations performed at different values of the bare coupling. It is a necessary tool for taking the continuum limit. Firstly, we measure the meson spectra for various combinations of (β, κ) and find a line of constant physics in β – κ plane. Next, we determine the scale setting function via w0 scale in the gradient flow method. Furthermore, we estimate the pseudo-critical temperature at zero chemical potential from the chiral susceptibility.Combining these results, we can discuss the QCD phase diagram in which both axes are given by dimensionless quantities, namely, the temperature normalized by the pseudo-critical temperature on the lattice and the chemical potential normalized by the pseudoscalar meson mass. It makes it easy to compare among several lattice studies and also makes it possible to compare theoretical analyses and lattice studies in the continuum limit.


2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Wen Qin ◽  
Ling-Yun Dai ◽  
Jorge Portolés

Abstract A coherent study of e+e− annihilation into two (π+π−, K+K−) and three (π+π−π0, π+π−η) pseudoscalar meson production is carried out within the framework of resonance chiral theory in energy region E ≲ 2 GeV. The work of [L.Y. Dai, J. Portolés, and O. Shekhovtsova, Phys. Rev. D88 (2013) 056001] is revisited with the latest experimental data and a joint analysis of two pseudoscalar meson production. Hence, we evaluate the lowest order hadronic vacuum polarization contributions of those two and three pseudoscalar processes to the anomalous magnetic moment of the muon. We also estimate some higher-order additions led by the same hadronic vacuum polarization. Combined with the other contributions from the standard model, the theoretical prediction differs still by (21.6 ± 7.4) × 10−10 (2.9σ) from the experimental value.


2021 ◽  
Vol 103 (5) ◽  
Author(s):  
Alexander Felski ◽  
S. P. Klevansky
Keyword(s):  

1978 ◽  
Vol 18 (1) ◽  
pp. 341-343
Author(s):  
Kohji Hirata ◽  
Tsunehiro Kobayashi ◽  
Nobuyuki Nakamaru
Keyword(s):  

2015 ◽  
Vol 30 (26) ◽  
pp. 1550158 ◽  
Author(s):  
Dipankar Das

In two-Higgs-doublet models with exact [Formula: see text] symmetry, putting [Formula: see text] at the alignment limit, the following limits on the heavy scalar masses are obtained from the conditions of unitarity and stability of the scalar potential: [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text]. The constraints from [Formula: see text] and neutral meson mass differences, when superimposed on the unitarity constraints, put a tighter lower limit on [Formula: see text] depending on [Formula: see text]. It has also been shown that larger values of [Formula: see text] can be allowed by introducing soft breaking term in the potential at the expense of a correlation between [Formula: see text] and the soft breaking parameter.


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