scholarly journals Exact vector channel sum rules at finite temperature and their applications to lattice QCD data analysis

2016 ◽  
Vol 94 (9) ◽  
Author(s):  
Philipp Gubler ◽  
Daisuke Satow
2010 ◽  
Vol 81 (1) ◽  
Author(s):  
C. A. Dominguez ◽  
M. Loewe ◽  
J. C. Rojas ◽  
Y. Zhang

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 830 (1-4) ◽  
pp. 11c-18c ◽  
Author(s):  
Péter Petreczky

2011 ◽  
Vol 84 (9) ◽  
Author(s):  
H. Ohno ◽  
S. Aoki ◽  
S. Ejiri ◽  
K. Kanaya ◽  
Y. Maezawa ◽  
...  

2017 ◽  
Vol 2017 ◽  
pp. 1-24 ◽  
Author(s):  
Alejandro Ayala ◽  
C. A. Dominguez ◽  
M. Loewe

The method of QCD sum rules at finite temperature is reviewed, with emphasis on recent results. These include predictions for the survival of charmonium and bottonium states, at and beyond the critical temperature for deconfinement, as later confirmed by lattice QCD simulations. Also included are determinations in the light-quark vector and axial-vector channels, allowing analysing the Weinberg sum rules and predicting the dimuon spectrum in heavy-ion collisions in the region of the rho-meson. Also, in this sector, the determination of the temperature behaviour of the up-down quark mass, together with the pion decay constant, will be described. Finally, an extension of the QCD sum rule method to incorporate finite baryon chemical potential is reviewed.


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