scholarly journals Scalar Form Factor of the Pion in the Kroll-Lee-Zumino Field Theory

2015 ◽  
Vol 2015 ◽  
pp. 1-4
Author(s):  
C. A. Dominguez ◽  
M. Loewe ◽  
M. Lushozi

The renormalizable Kroll-Lee-Zumino field theory of pions and a neutral rho-meson is used to determine the scalar form factor of the pion in the space-like region at next-to-leading order. Perturbative calculations in this framework are parameter-free, as the masses and the rho-pion-pion coupling are known from experiment. Results compare favorably with lattice QCD calculations.

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Domagoj Leljak ◽  
Blaženka Melić ◽  
Danny van Dyk

Abstract We revisit light-cone sum rules with pion distribution amplitudes to determine the full set of local $$ \overline{B} $$ B ¯ → π form factors. To this end, we determine all duality threshold parameters from a Bayesian fit for the first time. Our results, obtained at small momentum transfer q2, are extrapolated to large q2 where they agree with precise lattice QCD results. We find that a modification to the commonly used BCL parametrization is crucial to interpolate the scalar form factor between the two q2 regions. We provide numerical results for the form factor parameters — including their covariance — based on simultaneous fit of all three form factors to both the sum rule and lattice QCD results. Our predictions for the form factors agree well with measurements of the q2 spectrum of the semileptonic decay $$ {\overline{B}}^0\to {\pi}^{+}{\mathrm{\ell}}^{-}{\overline{\nu}}_{\mathrm{\ell}} $$ B ¯ 0 → π + ℓ − ν ¯ ℓ . From the world average of the latter we obtain |Vub| = (3.77 ± 0.15) · 10−3, which is in agreement with the most recent inclusive determination at the 1 σ level.


2010 ◽  
Vol 82 (11) ◽  
Author(s):  
Heechang Na ◽  
Christine T. H. Davies ◽  
Eduardo Follana ◽  
G. Peter Lepage ◽  
Junko Shigemitsu

2008 ◽  
Vol 23 (27n30) ◽  
pp. 2273-2280 ◽  
Author(s):  
M. R. ROBILOTTA

Chiral expansions of the two-pion exchange components of both two- and three-nucleon forces are reviewed and a discussion is made of the predicted pattern of hierarchies. The strength of the scalar-isoscalar central potential is found to be too large and to defy expectations from the symmetry. The causes of this effect can be understood by studying the nucleon scalar form factor.


2012 ◽  
Vol 2012 (6) ◽  
Author(s):  
M. Hoferichter ◽  
C. Ditsche ◽  
B. Kubis ◽  
U.-G. Meißner

2006 ◽  
Vol 73 (9) ◽  
Author(s):  
Zhi-Gang Wang ◽  
Shao-Long Wan ◽  
Wei-Min Yang

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