Second Moment of the Pion Light-cone Distribution Amplitude from Lattice QCD
| Autor: | Braun, V. M., Collins, S., Göckeler, M., Pérez-Rubio, P., Schäfer, A., Schiel, R. W., Sternbeck, A. |
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| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Phys. Rev. D 92, 014504 (2015) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.92.014504 |
| Popis: | We present the results of a lattice study of the second moment of the light-cone pion distribution amplitude using two flavors of dynamical (clover) fermions on lattices of different volumes and pion masses down to $m_\pi\sim 150 \, \mathrm {MeV}$. At lattice spacings between $0.06 \, \mathrm {fm}$ and $0.08 \, \mathrm {fm}$ we find for the second Gegenbauer moment the value $a_2 = 0.1364(154)(145)$ at the scale $\mu=2 \, \mathrm {GeV}$ in the $\overline{\mathrm{MS}}$ scheme, where the first error is statistical including the uncertainty of the chiral extrapolation, and the second error is the estimated uncertainty coming from the nonperturbatively determined renormalization factors. Comment: 14 Pages, 13 figures. PACS numbers: 12.38Gc, 13.60Le, 14.40Be |
| Databáze: | arXiv |
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