On the Wilson coefficient of the penguin operator

1988 ◽  
Vol 37 (7) ◽  
pp. 1908-1911 ◽  
Author(s):  
Hai-Yang Cheng
Keyword(s):  
Wilson Coefficient ◽  
Penguin Operator

Strangeness-changing nonlepton decays of the kaons, hyperons, and the Ω− particle

1982 ◽  
Vol 60 (4) ◽  
pp. 405-423 ◽  
Author(s):  
H. C. Lee ◽  
K. B. Winterbon
Keyword(s):  
Quantum Chromodynamics ◽  
Short Distance ◽  
P Wave ◽  
Radiative Corrections ◽  
Wilson Coefficient ◽  
S Wave ◽  
Perturbative Quantum Chromodynamics ◽  
Hyperon Decays ◽  
Perturbative Quantum ◽  
Nonleptonic Decays

We try to understand the strangeness changing nonleptonic decays of kaons, hyperons, and the Ω− particle in terms of the modern, renormalized weak Hamiltonian expressed as a sum of four-quark Wilson operators, including the so-called penguin operators c5O5 and c6O6 arising from gluon radiative corrections. It is found that these decays, including the long-standing s-wave/p-wave puzzle in hyperon decays, can be understood if the Wilson coefficient [Formula: see text] has a sign opposite to that obtained from short-distance perturbative quantum chromodynamics calculations and has an effective value such that [Formula: see text].

Calculation of the penguin operator contribution to theK→ππamplitude

1993 ◽  
Vol 48 (9) ◽  
pp. 4168-4173
Author(s):  
A. A. Penin ◽  
A. A. Pivovarov
Keyword(s):  
Penguin Operator

scholarly journals Determining the effective Wilson coefficient a2 in terms of BR(Bs→ηcϕ) and evaluating BR(Bs→ηcf0(980))

2017 ◽  
Vol 96 (5) ◽  
Author(s):  
Hong-Wei Ke ◽  
Xue-Qian Li
Keyword(s):  
Wilson Coefficient

scholarly journals A self-consistent framework of topological amplitude and its SU(N) decomposition

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Di Wang ◽  
Cai-Ping Jia ◽  
Fu-Sheng Yu
Keyword(s):  
Symmetry Breaking ◽  
Branching Fractions ◽  
Energy Levels ◽  
Heavy Meson ◽  
Flavor Symmetry ◽  
Quark Loop ◽  
Charm Decays ◽  
Decay Channels ◽  
The Standard Model ◽  
Penguin Operator

Abstract We propose a systematic theoretical framework for the topological amplitudes of the heavy meson decays and their SU(N) decomposition. In the framework, the topologies are expressed in invariant tensors and classified into tree- and penguin-operator-induced diagrams according to which four-quark operators, tree or penguin, being inserted into their effective weak vertexes. The number of possible topologies contributing to one type of decay can be counted by permutations and combinations. The Wigner-Eckhart theorem ensures the topological amplitudes under flavor symmetry are the same for different decay channels. By decomposing the four-quark operators into irreducible representations of SU(N) group, one can get the SU(N) irreducible amplitudes. Taking the D → PP decay (P denoting a pseudoscalar meson) with SU(3)F symmetry as an example, we present our framework in detail. The linear correlation of topologies in the SU(3)F limit is clarified in group theory. It is found there are only nine independent topologies in all tree- and penguin-operator-induced diagrams contributing to the D → PP decays in the Standard Model. If a large quark-loop diagram, named TLP, is assumed, the large ∆ACP and the very different D0→ K+K− and D0→ π+π− branching fractions can be explained with a normal U-spin breaking. Moreover, our framework provides a simple way to analyze the SU(N) breaking effects. The linear SU(3)F breaking and the high order U-spin breaking in charm decays are re-investigated in our framework, which are consistent with literature. Analogous to the degeneracy and splitting of energy levels, we propose the concepts of degeneracy and splitting of topologies to describe the flavor symmetry breaking effects in decay. As applications, we analyze the strange-less D decays in SU(3)F symmetry breaking into Isospin symmetry and the charm-less B decays in SU(4)F symmetry breaking into SU(3)F symmetry.

scholarly journals High statistics determination of the strong coupling constant in Taylor scheme and its OPE Wilson coefficient from lattice QCD with a dynamical charm

2014 ◽  
Vol 89 (1) ◽  
Author(s):  
B. Blossier ◽  
Ph. Boucaud ◽  
M. Brinet ◽  
F. De Soto ◽  
V. Morenas ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
Strong Coupling ◽  
Strong Coupling Constant ◽  
Coupling Constant ◽  
Wilson Coefficient ◽  
Taylor Scheme

scholarly journals Future prospects for the determination of the Wilson coefficient $ C_{{^{{7\gamma }}}}^{\prime } $

2012 ◽  
Vol 2012 (8) ◽  
Author(s):  
D. Bečirević ◽  
E. Kou ◽  
A. Le Yaouanc ◽  
A. Tayduganov
Keyword(s):  
Future Prospects ◽  
Wilson Coefficient ◽  
Gamma Prime

scholarly journals CoDEx: Wilson coefficient calculator connecting SMEFT to UV theory

2019 ◽  
Vol 79 (1) ◽  
Author(s):  
Supratim Das Bakshi ◽  
Joydeep Chakrabortty ◽  
Sunando Kumar Patra
Keyword(s):  
Wilson Coefficient

Order α2S contributions to the deep inelastic Wilson coefficient

1991 ◽  
Vol 272 (1-2) ◽  
pp. 127-133 ◽  
Author(s):  
W.L. van Neerven ◽  
E.B. Zijlstra
Keyword(s):  
Wilson Coefficient

Future prospects for the determination of the Wilson coefficient C7γ′

2013 ◽  
Vol 234 ◽  
pp. 173-176
Author(s):  
Andrey Tayduganov
Keyword(s):  
Future Prospects ◽  
Wilson Coefficient

IS THE CRONIN’S REPRESENTATION CORRECT FOR THE PENGUIN OPERATOR?

1992 ◽  
Vol 07 (05) ◽  
pp. 427-435 ◽  
Author(s):  
A.N. IVANOV ◽  
M. NAGY ◽  
N.I. TROITSKAYA
Keyword(s):  
Wave Functions ◽  
Low Energy ◽  
Energy Limit ◽  
Chiral Perturbation ◽  
K Meson ◽  
Chiral Transformation ◽  
Quark Level ◽  
Penguin Operator ◽  
Hadronic Level

It is shown that the Cronin’s operator, being used for a phenomenological description of non-loptonic K-meson decays within the effective chiral Lagrangian approach with non-linear realization of chiral SU (3)× SU (3) symmetry (so-called, chiral perturbation theory at the hadronic level), cannot be applied to the determination of the Penguin-operator (O5-operator) at the hadronic level. The affirmation is based on the proof of the violation of the low-energy theorem [Formula: see text] which is valid within the framework of the Cronin’s representation. The violation of this low-energy theorem is obtained at the quark level and connected with the account of the low-energy interactions of pions caused by the overlap of wave functions of pions in the |π+π−> state in the low-energy limit p+→0. The chiral transformation properties of the normal-ordered Penguin operator are studied.

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