pion mass dependence
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2021 ◽  
Vol 126 (10) ◽  
Author(s):  
Malwin Niehus ◽  
Martin Hoferichter ◽  
Bastian Kubis ◽  
Jacobo Ruiz de Elvira


2020 ◽  
Vol 809 ◽  
pp. 135745 ◽  
Author(s):  
Qian-Qian Bai ◽  
Chun-Xuan Wang ◽  
Yang Xiao ◽  
Li-Sheng Geng


2018 ◽  
Vol 175 ◽  
pp. 06010
Author(s):  
Maarten Golterman ◽  
Kim Maltman ◽  
Santiago Peris

One of the systematic errors in some of the current lattice computations of the HVP contribution to the muon anomalous magnetic moment g – 2 is that associated with the extrapolation to the physical pion mass. We investigate this extrapolation assuming lattice pion masses in the range of 220 to 440 MeV with the help of two-loop chiral perturbation theory, and find that such an extrapolation is unlikely to lead to control of this systematic error at the 1% level. This remains true even if various proposed tricks to improve the chiral extrapolation are taken into account.



2014 ◽  
Vol 26 ◽  
pp. 1460089 ◽  
Author(s):  
L. ALVAREZ-RUSO ◽  
T. LEDWIG ◽  
M. J. VICENTE VACAS ◽  
J. MARTIN-CAMALICH

Fits of the p4 covariant SU(2) baryon chiral perturbation theory to lattice QCD nucleon mass data from several collaborations for 2 and 2+1 flavors are presented. We consider contributions from explicit Δ(1232) degrees of freedom, finite volume and finite spacing corrections. We emphasize here on our Nf = 2 + 1 study. We obtain low-energy constants of natural size that are compatible with the rather linear pion-mass dependence of the nucleon mass observed in lattice QCD. We report a value of σπN = 41(5)(4) MeV in the 2 flavor case and σπN = 52(3)(8) MeV for 2+1 flavors.





2010 ◽  
Vol 690 (2) ◽  
pp. 129-134 ◽  
Author(s):  
Tim Ledwig ◽  
Vladimir Pascalutsa ◽  
Marc Vanderhaeghen


2007 ◽  
Vol 32 (3) ◽  
pp. 335-347 ◽  
Author(s):  
H. -W. Hammer ◽  
D. R. Phillips ◽  
L. Platter


2007 ◽  
Vol 75 (5) ◽  
Author(s):  
K. Goeke ◽  
J. Grabis ◽  
J. Ossmann ◽  
P. Schweitzer ◽  
A. Silva ◽  
...  


2006 ◽  
Vol 27 (1) ◽  
pp. 77-90 ◽  
Author(s):  
K. Goeke ◽  
J. Ossmann ◽  
P. Schweitzer ◽  
A. Silva


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