Using N-f = 2 + 1 + 1 lattice QCD, we determine the fermionic connected contributions to the first and second moments of the pion parton distribution function. Based on gauge configurations from the European Twisted Mass Collaboration, chiral and continuum extrapolations are performed using pion masses in the range of 230 to 500 MeV and three values of the lattice spacing. Finite volume effects are investigated using different volumes. In order to avoid mixing under renormalization for the second moment, we use an operator with two nonzero spatial components of momentum. Momenta are injected using twisted boundary conditions. Our final values read < x >(phys)(R) = 0.2075(106) and < x(2)>(phys)(R) = 0.163(33), determined at 2 GeV in the (MS) over bar scheme and with systematic and statistical uncertainties summed in quadrature.
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Ist Nazl Fis Nucl, Sez Roma Tre, I-00146 Rome, ItalyIst Nazl Fis Nucl, Sez Roma Tre, I-00146 Rome, Italy
Carrasco, N.
Dimopoulos, P.
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Ctr Fermi Museo Stor Fis, I-00184 Rome, Italy
Ctr Studi & Ric Enrico Fermi, I-00184 Rome, Italy
Univ Roma Tor Vergata, Dipartimento Fis, I-00133 Rome, ItalyIst Nazl Fis Nucl, Sez Roma Tre, I-00146 Rome, Italy
Dimopoulos, P.
Frezzotti, R.
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Univ Roma Tor Vergata, Dipartimento Fis, I-00133 Rome, Italy
Ist Nazl Fis Nucl, Sez Tor Vergata, I-00133 Rome, ItalyIst Nazl Fis Nucl, Sez Roma Tre, I-00146 Rome, Italy
Frezzotti, R.
Lami, P.
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Ist Nazl Fis Nucl, Sez Roma Tre, I-00146 Rome, Italy
Univ Rome Tre, Dipartimento Matemat & Fis, I-00146 Rome, ItalyIst Nazl Fis Nucl, Sez Roma Tre, I-00146 Rome, Italy
Lami, P.
Lubicz, V.
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Ist Nazl Fis Nucl, Sez Roma Tre, I-00146 Rome, Italy
Univ Rome Tre, Dipartimento Matemat & Fis, I-00146 Rome, ItalyIst Nazl Fis Nucl, Sez Roma Tre, I-00146 Rome, Italy
Lubicz, V.
Nazzaro, F.
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Univ Roma Tor Vergata, Dipartimento Fis, I-00133 Rome, ItalyIst Nazl Fis Nucl, Sez Roma Tre, I-00146 Rome, Italy
Nazzaro, F.
Picca, E.
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Ist Nazl Fis Nucl, Sez Roma Tre, I-00146 Rome, Italy
Univ Rome Tre, Dipartimento Matemat & Fis, I-00146 Rome, ItalyIst Nazl Fis Nucl, Sez Roma Tre, I-00146 Rome, Italy
Picca, E.
Riggio, L.
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Ist Nazl Fis Nucl, Sez Roma Tre, I-00146 Rome, ItalyIst Nazl Fis Nucl, Sez Roma Tre, I-00146 Rome, Italy
Riggio, L.
Rossi, G. C.
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Ctr Fermi Museo Stor Fis, I-00184 Rome, Italy
Ctr Studi & Ric Enrico Fermi, I-00184 Rome, Italy
Univ Roma Tor Vergata, Dipartimento Fis, I-00133 Rome, Italy
Ist Nazl Fis Nucl, Sez Tor Vergata, I-00133 Rome, ItalyIst Nazl Fis Nucl, Sez Roma Tre, I-00146 Rome, Italy
机构:
Univ Fed Rio de Janeiro, Dept Matemat Aplicada, BR-21941909 Rio De Janeiro, BrazilUniv Fed Rio de Janeiro, Dept Matemat Aplicada, BR-21941909 Rio De Janeiro, Brazil
Herbig, Hans-Christian
Herden, Daniel
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Baylor Univ, Dept Math, Waco, TX 76798 USAUniv Fed Rio de Janeiro, Dept Matemat Aplicada, BR-21941909 Rio De Janeiro, Brazil
Herden, Daniel
Seaton, Christopher
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Rhodes Coll, Dept Math & Comp Sci, Memphis, TN 38112 USAUniv Fed Rio de Janeiro, Dept Matemat Aplicada, BR-21941909 Rio De Janeiro, Brazil
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Coll William & Mary, Dept Phys, 300 Ukrop Way, Williamsburg, VA 23185 USA
Thomas Jefferson Natl Accelerator Facil, Newport News, VA 23606 USAColl William & Mary, Dept Phys, 300 Ukrop Way, Williamsburg, VA 23185 USA
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University of Debrecen, Institute of Mathematics and Informatics, Debrecen H-4010University of Debrecen, Institute of Mathematics and Informatics, Debrecen H-4010
Hajdu L.
Szalay L.
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University of West Hungary, Institute of Mathematics, Sopron H-9400University of Debrecen, Institute of Mathematics and Informatics, Debrecen H-4010
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Los Alamos Natl Lab, Theoret Div T2, Los Alamos, NM 87545 USALos Alamos Natl Lab, Theoret Div T2, Los Alamos, NM 87545 USA
Gupta, Rajan
Ling, Yong-Chull
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Brookhaven Natl Lab, Phys Dept, Upton, NY 11973 USALos Alamos Natl Lab, Theoret Div T2, Los Alamos, NM 87545 USA
Ling, Yong-Chull
Yoon, Boram
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Los Alamos Natl Lab, Theoret Div T2, Los Alamos, NM 87545 USALos Alamos Natl Lab, Theoret Div T2, Los Alamos, NM 87545 USA
Yoon, Boram
Lin, Huey-Wen
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Michigan State Univ, Dept Phys & Astron, E Lansing, MI 48824 USA
Michigan State Univ, Dept Computat Math Sci & Engn, E Lansing, MI 48824 USALos Alamos Natl Lab, Theoret Div T2, Los Alamos, NM 87545 USA
Lin, Huey-Wen
Cirigliano, Vincenzo
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Los Alamos Natl Lab, Theoret Div T2, Los Alamos, NM 87545 USALos Alamos Natl Lab, Theoret Div T2, Los Alamos, NM 87545 USA
Cirigliano, Vincenzo
Bhattacharya, Tanmoy
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Los Alamos Natl Lab, Theoret Div T2, Los Alamos, NM 87545 USALos Alamos Natl Lab, Theoret Div T2, Los Alamos, NM 87545 USA