scholarly journals Hadronic matrix elements of proton decay on the lattice

2004 ◽  
Author(s):  
Yasumichi Aoki
Keyword(s):  
2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Ulrich Haisch ◽  
Amando Hala

Abstract We estimate the form factors that parametrise the hadronic matrix elements of proton-to-pion transitions with the help of light-cone sum rules. These form factors are relevant for semi-leptonic proton decay channels induced by baryon-number violating dimension-six operators, as typically studied in the context of grand unified theories. We calculate the form factors in a kinematical regime where the momentum transfer from the proton to the pion is space-like and extrapolate our final results to the regime that is relevant for proton decay. In this way, we obtain estimates for the form factors that show agreement with the state-of-the-art calculations in lattice QCD, if systematic uncertainties are taken into account. Our work is a first step towards calculating more involved proton decay channels where lattice QCD results are not available at present.


2009 ◽  
Vol 79 (3) ◽  
Author(s):  
Vladimir M. Braun ◽  
Meinulf Göckeler ◽  
Roger Horsley ◽  
Thomas Kaltenbrunner ◽  
Yoshifumi Nakamura ◽  
...  
Keyword(s):  

2014 ◽  
Vol 89 (1) ◽  
Author(s):  
Y. Aoki ◽  
E. Shintani ◽  
A. Soni ◽  
Keyword(s):  

2017 ◽  
Vol 96 (1) ◽  
Author(s):  
Yasumichi Aoki ◽  
Taku Izubuchi ◽  
Eigo Shintani ◽  
Amarjit Soni

2020 ◽  
Author(s):  
Yasumichi Aoki ◽  
Yoshinobu Kuramashi ◽  
Eigo Shintani ◽  
Natsuki Tsukamoto ◽  

2007 ◽  
Vol 75 (1) ◽  
Author(s):  
Y. Aoki ◽  
C. Dawson ◽  
J. Noaki ◽  
A. Soni

2012 ◽  
Author(s):  
Yasumichi Aoki ◽  
Eigo Shintani ◽  
RBC and UKQCD Collaborations

2004 ◽  
Vol 129-130 ◽  
pp. 284-286 ◽  
Author(s):  
N. Tsutsui ◽  
S. Aoki ◽  
M. Fukugita ◽  
S. Hashimoto ◽  
K.-I. Ishikawa ◽  
...  

1980 ◽  
Vol 58 (9) ◽  
pp. 1360-1366 ◽  
Author(s):  
W. R. Dixon ◽  
R. S. Storey ◽  
J. J. Simpson

Three levels in 44Ti at energies of 9215 ± 2, 9227 ± 2, and 9239 ± 2 keV have been studied in the 40Ca(α,γ) reaction. Gamma-ray branching ratios, angular distributions, and transition strengths have been measured for each level. Proton decay strengths have also been determined. Each level is assigned Jπ = 2+. The level at 9227 keV must be predominantly T = 1 because of its strong M1 decays, while the other two levels are believed to be predominantly T = 0 because of their stronger E2 transitions to the ground state. Treating the three levels as an isospin-mixed triplet gives a consistent interpretation for all the experimental data, and allows quantitative estimates to be made of the amount of isospin mixing and of the magnitude of the isovector matrix elements.


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