⟨x⟩ and ⟨x2⟩ of the pion PDF from lattice QCD with Nf=2+1+1 dynamical quark flavor

被引：34

作者：

Oehm, M. ^{[1
]}

Alexandrou, C. ^{[2
,3
]}

Constantinou, M. ^{[4
]}

Jansen, K. ^{[5
]}

Koutsou, G. ^{[6
]}

Kostrzewa, B. ^{[1
]}

Steffens, F. ^{[1
]}

Urbach, C. ^{[1
]}

Zafeiropoulos, S. ^{[7
]}

机构：

[1] Rheinische Friedrich Wilhelms Univ, Bonn, Germany

[2] Univ Cyprus, Nicosia, Cyprus

[3] Computat Based Sci & Technol Res Ctr, Nicosia, Cyprus

[4] Temple Univ, Philadelphia, PA 19122 USA

[5] NIC DESY Zeuthen, Zeuthen, Germany

[6] Cyprus Inst, Nicosia, Cyprus

[7] Heidelberg Univ, Heidelberg, Germany

来源：

PHYSICAL REVIEW D | 2019年 / 99卷 / 01期

基金：

美国国家科学基金会;

关键词：

DEEP-INELASTIC SCATTERING; LOOP ANOMALOUS DIMENSION; NONPERTURBATIVE RENORMALIZATION; PARTON DISTRIBUTIONS; 2ND MOMENT; C-QUARK; OPERATORS; MASSES;

D O I：

10.1103/PhysRevD.99.014508

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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.

引用

页数：16

共 89 条

[1] Measurement of leading neutron production in deep-inelastic scattering at HERA [J].

Aaron, F. D. ;

Alexa, C. ;

Andreev, V. ;

Antunovic, B. ;

Backovic, S. ;

Baghdasaryan, A. ;

Barrelet, E. ;

Bartel, W. ;

Begzsuren, K. ;

Belousov, A. ;

Bizot, J. C. ;

Boudry, V. ;

Bozovic-Jelisavcic, I. ;

Bracinik, J. ;

Brandt, G. ;

Brinkmann, M. ;

Brisson, V. ;

Bruncko, D. ;

Bunyatyan, A. ;

Buschhorn, G. ;

Bystritskaya, L. ;

Campbell, A. J. ;

Avila, K. B. Cantun ;

Cerny, K. ;

Cerny, V. ;

Chekelian, V. ;

Cholewa, A. ;

Contreras, J. G. ;

Coughlan, J. A. ;

Cozzika, G. ;

Cvach, J. ;

Dainton, J. B. ;

Daum, K. ;

Deak, M. ;

Delcourt, B. ;

Delvax, J. ;

De Wolf, E. A. ;

Diaconu, C. ;

Dodonov, V. ;

Dossanov, A. ;

Dubak, A. ;

Eckerlin, G. ;

Efremenko, V. ;

Egli, S. ;

Eliseev, A. ;

Elsen, E. ;

Falkiewicz, A. ;

Favart, L. ;

Fedotov, A. ;

Felst, R. .

EUROPEAN PHYSICAL JOURNAL C, 2010, 68 (3-4) :381-399

[2] First physics results at the physical pion mass from Nf=2 Wilson twisted mass fermions at maximal twist [J].

Abdel-Rehim, A. ;

Alexandrou, C. ;

Burger, F. ;

Constantinou, M. ;

Dimopoulos, P. ;

Frezzotti, R. ;

Hadjiyiannakou, K. ;

Helmes, C. ;

Jansen, K. ;

Jost, C. ;

Kallidonis, C. ;

Knippschild, B. ;

Kostrzewa, B. ;

Koutsou, G. ;

Liu, L. ;

Mangin-Brinet, M. ;

Ottnad, K. ;

Petschlies, M. ;

Pientka, G. ;

Rossi, G. C. ;

Urbach, C. ;

Wenger, U. ;

Werner, M. .

PHYSICAL REVIEW D, 2017, 95 (09)

[3] Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass (vol 92, 114513, 2015) [J].

Abdel-Rehim, A. ;

Alexandrou, C. ;

Constantinou, M. ;

Dimopoulos, P. ;

Frezzotti, R. ;

Hadjiyiannakou, K. ;

Jansen, K. ;

Kallidonis, Ch ;

Kostrzewa, B. ;

Koutsou, G. ;

Mangin-Brinet, M. ;

Oehm, M. ;

Rossi, G. C. ;

Urbach, C. ;

Wenger, U. .

PHYSICAL REVIEW D, 2016, 93 (03)

[4] Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass [J].

Abdel-Rehim, A. ;

Alexandrou, C. ;

Constantinou, M. ;

Dimopoulos, P. ;

Frezzotti, R. ;

Hadjiyiannakou, K. ;

Jansen, K. ;

Kallidonis, Ch. ;

Kostrzewa, B. ;

Koutsou, G. ;

Mangin-Brinet, M. ;

Oehm, M. ;

Rossi, G. C. ;

Urbach, C. ;

Wenger, U. .

PHYSICAL REVIEW D, 2015, 92 (11)

[5] Disconnected quark loop contributions to nucleon observables in lattice QCD [J].

Abdel-Rehim, A. ;

Alexandrou, C. ;

Constantinou, M. ;

Drach, V. ;

Hadjiyiannakou, K. ;

Jansen, K. ;

Koutsou, G. ;

Vaquero, A. .

PHYSICAL REVIEW D, 2014, 89 (03)

[6]

Abdel-Rehim A., 2015, POS LATTICE2014, P148

[7] Pion vector form factor from lattice QCD at the physical point [J].

Alexandrou, C. ;

Bacchio, S. ;

Dimopoulos, P. ;

Finkenrath, J. ;

Frezzotti, R. ;

Jansen, K. ;

Kostrzewa, B. ;

Mangin-Brinet, M. ;

Sanfilippo, F. ;

Simula, S. ;

Urbach, C. ;

Wenger, U. .

PHYSICAL REVIEW D, 2018, 97 (01)

[8] Nucleon Spin and Momentum Decomposition Using Lattice QCD Simulations [J].

Alexandrou, C. ;

Constantinou, M. ;

Hadjiyiannakou, K. ;

Jansen, K. ;

Kallidonis, C. ;

Koutsou, G. ;

Aviles-Casco, A. Vaquero ;

Wiese, C. .

PHYSICAL REVIEW LETTERS, 2017, 119 (14)

[9] Determination of Δ-resonance parameters from lattice QCD [J].

Alexandrou, C. ;

Negele, J. W. ;

Petschlies, M. ;

Strelchenko, A. ;

Tsapalis, A. .

PHYSICAL REVIEW D, 2013, 88 (03)

[10] Strange and charm baryon masses with two flavors of dynamical twisted mass fermions [J].

Alexandrou, C. ;

Carbonell, J. ;

Christaras, D. ;

Drach, V. ;

Gravina, M. ;

Papinutto, M. .

PHYSICAL REVIEW D, 2012, 86 (11)

← 1 2 3 4 5 6 7 8 9 →