Subscribe to the gold package and get unlimited access to Shamra Academy
Register a new user2019 Update on $varepsilon_K$ with lattice QCD inputs
148
0
0.0
(
0
)
Ask ChatGPT about the research
No Arabic abstract
We present updated results for $varepsilon_K$ determined directly from the standard model (SM) with lattice QCD inputs such as $hat{B}_K$, $|V_{cb}|$, $|V_{us}|$, $xi_0$, $xi_2$, $xi_text{LD}$, $f_K$, and $m_c$. We find that the standard model with exclusive $|V_{cb}|$ and other lattice QCD inputs describes only 65% of the experimental value of $|varepsilon_K|$ and does not explain its remaining 35%, which leads to a strong tension in $|varepsilon_K|$ at the $4.6sigma sim 4.2sigma$ level between the SM theory and experiment. We also find that this tension disappears when we use the inclusive value of $|V_{cb}|$ obtained using the heavy quark expansion based on QCD sum rules.
rate research
Read More
We present updated results for $varepsilon_K$ determined directly from the standard model (SM) with lattice QCD inputs such as $hat{B}_K$, $|V_{cb}|$, $|V_{us}|$, $xi_0$, $xi_2$, $xi_text{LD}$, $F_K$, and $m_c$. We find that the standard model with exclusive $|V_{cb}|$ and other lattice QCD inputs describes only 70% of the experimental value of $|varepsilon_K|$ and does not explain its remaining 30%, which leads to a strong tension in $|varepsilon_K|$ at the $4sigma$ level between the SM theory and experiment. We also find that this tension disappears when we use the inclusive value of $|V_{cb}|$ obtained using the heavy quark expansion based on QCD sum rules.
We report updated results for $varepsilon_K$, the indirect CP violation parameter in neutral kaons, which is evaluated directly from the standard model with lattice QCD inputs. We use lattice QCD inputs to fix $bar{B}_K$, $|V_{cb}|$, $xi_0$, $xi_2$, $|V_{us}|$, and $m_c(m_c)$. Since Lattice 2016, the UTfit group has updated the Wolfenstein parameters in the angle-only-fit method, and the HFLAV group has also updated $|V_{cb}|$. Our results show that the evaluation of $varepsilon_K$ with exclusive $|V_{cb}|$ (lattice QCD inputs) has $4.0sigma$ tension with the experimental value, while that with inclusive $|V_{cb}|$ (heavy quark expansion based on OPE and QCD sum rules) shows no tension.
We report a strong tension in $varepsilon_K$ at the $4sigma$ level between the experimental value and the theoretical value calculated directly from the standard model using lattice QCD inputs such as $hat{B}_K$, $|V_{cb}|$, $|V_{us}|$, $xi_0$, $xi_2$, $xi_text{LD}$, $F_K$, and $m_c$. The standard model with lattice QCD inputs describes only 70% of the experimental value of $varepsilon_K$, and does not explain its remaining 30%. We also find that this tension disappears when we use the inclusive value of $|V_{cb}|$ (results of the heavy quark expansion based on QCD sum rules) to determine $varepsilon_K$. This tension is highly correlated with the present discrepancy between the exclusive and inclusive values of $|V_{cb}|$. In order to resolve, in part, the issue with $|V_{cb}|$, it would be highly desirable to have a comprehensive re-analysis over the entire set of experimental data on the $bar{B} to D^* ell bar{ u}$ decays using an alternative parametrization of the form factors, such as the BGL parametrization, and a comparison with results of the CLN method.
We investigate QCD-like theory with exact center symmetry, with emphasis on the finite-temperature phase transition concerning center and chiral symmetries. On the lattice, we formulate center symmetric $SU(3)$ gauge theory with three fundamental Wilson quarks by twisting quark boundary conditions in a compact direction ($Z_3$-QCD model). We calculate the expectation value of Polyakov loop and the chiral condensate as a function of temperature on 16^3 x 4 and 20^3 x 4 lattices along the line of constant physics realizing $m_{PS}/m_{V}=0.70$. We find out the first-order center phase transition, where the hysteresis of the magnitude of Polyakov loop exists depending on thermalization processes. We show that chiral condensate decreases around the critical temperature in a similar way to that of the standard three-flavor QCD, as it has the hysteresis in the same range as that of Polyakov loop. We also show that the flavor symmetry breaking due to the twisted boundary condition gets qualitatively manifest in the high-temperature phase. These results are consistent with the predictions based on the chiral effective model in the literature. Our approach could provide novel insights to the nonperturbative connection between the center and chiral properties.
Ideas and recent results for light-front Hamiltonian quantisation of lattice gauge theories.
Log in to be able to interact and post comments
comments
Fetching comments
Sign in to be able to follow your search criteria
