scholarly journals Low-energy constants of heavy meson effective theory in lattice QCD

2018 ◽  
Vol 98 (1) ◽  
Author(s):  
Mohammad H. Alhakami
2018 ◽  
Vol 192 ◽  
pp. 00048
Author(s):  
Andrzej J. Buras

The Dual QCD (DQCD) framework, based on the ideas of ’t Hooft and Witten, and developed by Bill Bardeen, Jean-Marc Gérard and myself in the 1980s is not QCD, a theory of quarks and gluons, but a successful low energy approximation of it when applied to K → ππ decays and K¯0 - K0 mixing. After years of silence, starting with 2014, this framework has been further developed in order to improve the SM prediction for the ratio ε'/ε, the ΔI = 1/2 rule and B^K. Most importantly, this year it has been used for the calculation of all K → ππ hadronic matrix elements of BSM operators which opened the road for the general study of ε'/ε in the context of the SM effective theory (SMEFT). This talk summarizes briefly the past successes of this framework and discusses recent developments which lead to a master formula for ε'/ε valid in any extension of the SM. This formula should facilitate the search for new physics responsible for the ε'/ε anomaly hinted by 2015 results from lattice QCD and DQCD.


2012 ◽  
Vol 86 (9) ◽  
Author(s):  
S. R. Beane ◽  
W. Detmold ◽  
P. M. Junnarkar ◽  
T. C. Luu ◽  
K. Orginos ◽  
...  

2018 ◽  
Vol 175 ◽  
pp. 05002
Author(s):  
R. Molina ◽  
B. Hu ◽  
M. Doering ◽  
M. Mai ◽  
A. Alexandru

Several lattice QCD simulations of meson-meson scattering in p-wave and Isospin = 1 in Nf = 2 + 1 flavours have been carried out recently. Unitarized Chiral Perturbation Theory is used to perform extrapolations to the physical point. In contrast to previous findings on the analyses of Nf = 2 lattice data, where most of the data seems to be in agreement, some discrepancies are detected in the Nf = 2 + 1 lattice data analyses, which could be due to different masses of the strange quark, meson decay constants, initial constraints in the simulation, or other lattice artifacts. In addition, the low-energy constants are compared to the ones from a recent analysis of Nf = 2 lattice data.


2004 ◽  
Vol 70 (11) ◽  
Author(s):  
C. Aubin ◽  
C. Bernard ◽  
C. DeTar ◽  
J. Osborn ◽  
Steven Gottlieb ◽  
...  

2008 ◽  
Author(s):  
Gregorio Herdoiza ◽  
Roberto Frezzotti ◽  
Petros Dimopoulos ◽  
Carsten Urbach ◽  
Urs Wenger

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Chien-Yeah Seng ◽  
Xu Feng ◽  
Mikhail Gorchtein ◽  
Lu-Chang Jin ◽  
Ulf-G. Meißner

Abstract We construct several classes of hadronic matrix elements and relate them to the low-energy constants in Chiral Perturbation Theory that describe the electromagnetic effects in the semileptonic beta decay of the pion and the kaon. We propose to calculate them using lattice QCD, and argue that such a calculation will make an immediate impact to a number of interesting topics at the precision frontier, including the outstanding anomalies in |Vus| and the top-row Cabibbo-Kobayashi-Maskawa matrix unitarity.


2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Martin Bauer ◽  
Matthias Neubert ◽  
Sophie Renner ◽  
Marvin Schnubel ◽  
Andrea Thamm

Abstract Axions and axion-like particles (ALPs) are well-motivated low-energy relics of high-energy extensions of the Standard Model, which interact with the known particles through higher-dimensional operators suppressed by the mass scale Λ of the new-physics sector. Starting from the most general dimension-5 interactions, we discuss in detail the evolution of the ALP couplings from the new-physics scale to energies at and below the scale of electroweak symmetry breaking. We derive the relevant anomalous dimensions at two-loop order in gauge couplings and one-loop order in Yukawa interactions, carefully considering the treatment of a redundant operator involving an ALP coupling to the Higgs current. We account for one-loop (and partially two-loop) matching contributions at the weak scale, including in particular flavor-changing effects. The relations between different equivalent forms of the effective Lagrangian are discussed in detail. We also construct the effective chiral Lagrangian for an ALP interacting with photons and light pseudoscalar mesons, pointing out important differences with the corresponding Lagrangian for the QCD axion.


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