The pion vector form factor from lattice QCD and NNLO chiral perturbation theory
Tóm tắt
Từ khóa
Tài liệu tham khảo
M. Hasenbusch, Speeding up the hybrid Monte Carlo algorithm for dynamical fermions, Phys. Lett. B 519 (2001) 177 [ hep-lat/0107019 ] [ INSPIRE ].
M. Lüscher, Schwarz-preconditioned HMC algorithm for two-flavour lattice QCD, Comput. Phys. Commun. 165 (2005) 199 [ hep-lat/0409106 ] [ INSPIRE ].
C. Urbach, K. Jansen, A. Shindler and U. Wenger, HMC algorithm with multiple time scale integration and mass preconditioning, Comput. Phys. Commun. 174 (2006) 87 [ hep-lat/0506011 ] [ INSPIRE ].
M. Clark and A. Kennedy, Accelerating dynamical fermion computations using the rational hybrid Monte Carlo (RHMC) algorithm with multiple pseudofermion fields, Phys. Rev. Lett. 98 (2007) 051601 [ hep-lat/0608015 ] [ INSPIRE ].
M. Lüscher, Local coherence and deflation of the low quark modes in lattice QCD, JHEP 07 (2007) 081 [ arXiv:0706.2298 ] [ INSPIRE ].
M. Lüscher, Deflation acceleration of lattice QCD simulations, JHEP 12 (2007) 011 [ arXiv:0710.5417 ] [ INSPIRE ].
M. Lüscher and F. Palombi, Fluctuations and reweighting of the quark determinant on large lattices, PoS(LATTICE 2008)049 [ arXiv:0810.0946 ] [ INSPIRE ].
M. Marinkovic and S. Schaefer, Comparison of the mass preconditioned HMC and the DD-HMC algorithm for two-flavour QCD, PoS(LATTICE 2010)031 [ arXiv:1011.0911 ] [ INSPIRE ].
G. Colangelo et al., Review of lattice results concerning low energy particle physics, Eur. Phys. J. C 71 (2011) 1695 [ arXiv:1011.4408 ] [ INSPIRE ].
QCDSF/UKQCD collaboration, D. Brömmel et al., The Pion form-factor from lattice QCD with two dynamical flavours, Eur. Phys. J. C 51 (2007) 335 [ hep-lat/0608021 ] [ INSPIRE ].
ETM collaboration, R. Frezzotti, V. Lubicz and S. Simula, Electromagnetic form factor of the pion from twisted-mass lattice QCD at N(f) = 2, Phys. Rev. D 79 (2009) 074506 [ arXiv:0812.4042 ] [ INSPIRE ].
P. Boyle et al., The Pion’s electromagnetic form-factor at small momentum transfer in full lattice QCD, JHEP 07 (2008) 112 [ arXiv:0804.3971 ] [ INSPIRE ].
JLQCD Collaboration, TWQCD collaboration, S. Aoki et al., Pion form factors from two-flavor lattice QCD with exact chiral symmetry, Phys. Rev. D 80 (2009) 034508 [ arXiv:0905.2465 ] [ INSPIRE ].
O.H. Nguyen, K.-I. Ishikawa, A. Ukawa and N. Ukita, Electromagnetic form factor of pion from N f = 2 + 1 dynamical flavor QCD, JHEP 04 (2011) 122 [ arXiv:1102.3652 ] [ INSPIRE ].
B.B. Brandt, A. Juttner and H. Wittig, Calculation of the pion electromagnetic form factor from lattice QCD, arXiv:1109.0196 [ INSPIRE ].
J. Gasser and H. Leutwyler, Chiral Perturbation Theory: Expansions in the Mass of the Strange Quark, Nucl. Phys. B 250 (1985) 465 [ INSPIRE ].
J. Gasser and H. Leutwyler, Low-Energy Expansion of Meson Form-Factors, Nucl. Phys. B 250 (1985) 517 [ INSPIRE ].
J. Bijnens, G. Colangelo and P. Talavera, The vector and scalar form-factors of the pion to two loops, JHEP 05 (1998) 014 [ hep-ph/9805389 ] [ INSPIRE ].
J. Bijnens and P. Talavera, Pion and kaon electromagnetic form-factors, JHEP 03 (2002) 046 [ hep-ph/0203049 ] [ INSPIRE ].
C. Aubin and T. Blum, Calculating the hadronic vacuum polarization and leading hadronic contribution to the muon anomalous magnetic moment with improved staggered quarks, Phys. Rev. D 75 (2007) 114502 [ hep-lat/0608011 ] [ INSPIRE ].
X. Feng, K. Jansen, M. Petschlies and D.B. Renner, Two-flavor QCD correction to lepton magnetic moments at leading-order in the electromagnetic coupling, Phys. Rev. Lett. 107 (2011) 081802 [ arXiv:1103.4818 ] [ INSPIRE ].
P. Boyle, L. Del Debbio, E. Kerrane and J. Zanotti, Lattice Determination of the Hadronic Contribution to the Muon g − 2 using Dynamical Domain Wall Fermions, Phys. Rev. D 85 (2012) 074504 [ arXiv:1107.1497 ] [ INSPIRE ].
M. Della Morte and A. Jüttner, Quark disconnected diagrams in chiral perturbation theory, JHEP 11 (2010) 154 [ arXiv:1009.3783 ] [ INSPIRE ].
M. Della Morte, B. Jäger, A. Juttner and H. Wittig, Towards a precise lattice determination of the leading hadronic contribution to (g − 2) μ , JHEP 03 (2012) 055 [ arXiv:1112.2894 ] [ INSPIRE ].
P.F. Bedaque, Aharonov-Bohm effect and nucleon nucleon phase shifts on the lattice, Phys. Lett. B 593 (2004) 82 [ nucl-th/0402051 ] [ INSPIRE ].
G. de Divitiis, R. Petronzio and N. Tantalo, On the discretization of physical momenta in lattice QCD, Phys. Lett. B 595 (2004) 408 [ hep-lat/0405002 ] [ INSPIRE ].
C. Sachrajda and G. Villadoro, Twisted boundary conditions in lattice simulations, Phys. Lett. B 609 (2005) 73 [ hep-lat/0411033 ] [ INSPIRE ].
P. Boyle, J. Flynn, A. Juttner, C. Sachrajda and J. Zanotti, Hadronic form factors in Lattice QCD at small and vanishing momentum transfer, JHEP 05 (2007) 016 [ hep-lat/0703005 ] [ INSPIRE ].
B.B. Brandt et al., Wilson fermions at fine lattice spacings: scale setting, pion form factors and (g − 2) μ , PoS(LATTICE 2010)164 [ arXiv:1010.2390 ] [ INSPIRE ].
B. Brandt et al., Form factors in lattice QCD, Eur. Phys. J. ST 198 (2011) 79 [ arXiv:1106.1554 ] [ INSPIRE ].
B.B. Brandt, A. Jüttner and H. Wittig, The electromagnetic form factor of the pion in two-flavour lattice QCD, PoS(Confinement X)112 [ arXiv:1301.3513 ] [ INSPIRE ].
UKQCD collaboration, J. Flynn, A. Jüttner and C. Sachrajda, A numerical study of partially twisted boundary conditions, Phys. Lett. B 632 (2006) 313 [ hep-lat/0506016 ] [ INSPIRE ].
K.G. Wilson, Confinement of Quarks, Phys. Rev. D 10 (1974) 2445 [ INSPIRE ].
ALPHA collaboration, K. Jansen and R. Sommer, O(a) improvement of lattice QCD with two flavors of Wilson quarks, Nucl. Phys. B 530 (1998) 185 [Erratum ibid. B 643 (2002) 517-518] [ hep-lat/9803017 ] [ INSPIRE ].
M. Lüscher, S. Sint, R. Sommer and P. Weisz, Chiral symmetry and O(a) improvement in lattice QCD, Nucl. Phys. B 478 (1996) 365 [ hep-lat/9605038 ] [ INSPIRE ].
M. Della Morte, R. Hoffmann and R. Sommer, Non-perturbative improvement of the axial current for dynamical Wilson fermions, JHEP 03 (2005) 029 [ hep-lat/0503003 ] [ INSPIRE ].
S. Sint and P. Weisz, Further one loop results in O(a) improved lattice QCD, Nucl. Phys. Proc. Suppl. 63 (1998) 856 [ hep-lat/9709096 ] [ INSPIRE ].
P. Fritzsch, J. Heitger and N. Tantalo, Non-perturbative improvement of quark mass renormalization in two-flavour lattice QCD, JHEP 08 (2010) 074 [ arXiv:1004.3978 ] [ INSPIRE ].
P. Fritzsch et al., The strange quark mass and Lambda parameter of two flavor QCD, Nucl. Phys. B 865 (2012) 397 [ arXiv:1205.5380 ] [ INSPIRE ].
M. Della Morte, R. Sommer and S. Takeda, On cutoff effects in lattice QCD from short to long distances, Phys. Lett. B 672 (2009) 407 [ arXiv:0807.1120 ] [ INSPIRE ].
ALPHA collaboration, Non-perturbative quark mass renormalization in two-flavor QCD, Nucl. Phys. B 729 (2005) 117 [ hep-lat/0507035 ] [ INSPIRE ].
L. Del Debbio, L. Giusti, M. Lüscher, R. Petronzio and N. Tantalo, QCD with light Wilson quarks on fine lattices. II. DD-HMC simulations and data analysis, JHEP 02 (2007) 082 [ hep-lat/0701009 ] [ INSPIRE ].
Particle Data Group collaboration, Review of particle physics, J. Phys. G 37 (2010) 075021 [ INSPIRE ].
J. Bulava, M. Donnellan and R. Sommer, On the computation of hadron-to-hadron transition matrix elements in lattice QCD, JHEP 01 (2012) 140 [ arXiv:1108.3774 ] [ INSPIRE ].
S. Capitani et al., The nucleon axial charge from lattice QCD with controlled errors, Phys. Rev. D 86 (2012) 074502 [ arXiv:1205.0180 ] [ INSPIRE ].
R. Sommer, A new way to set the energy scale in lattice gauge theories and its applications to the static force and α s in SU(2) Yang-Mills theory, Nucl. Phys. B 411 (1994) 839 [ hep-lat/9310022 ] [ INSPIRE ].
ALPHA collaboration, B. Leder and F. Knechtli, Scale r 0 and the static potential from the CLS lattices, PoS(LATTICE 2010)233 [ arXiv:1012.1141 ] [ INSPIRE ].
S. Capitani, M. Della Morte, G. von Hippel, B. Knippschild and H. Wittig, Scale setting via the Ω baryon mass, PoS(LATTICE 2011)145 [ arXiv:1110.6365 ] [ INSPIRE ].
UKQCD collaboration, M. Foster and C. Michael, Quark mass dependence of hadron masses from lattice QCD, Phys. Rev. D 59 (1999) 074503 [ hep-lat/9810021 ] [ INSPIRE ].
UKQCD collaboration, C. McNeile and C. Michael, Decay width of light quark hybrid meson from the lattice, Phys. Rev. D 73 (2006) 074506 [ hep-lat/0603007 ] [ INSPIRE ].
P. Boyle, A. Jüttner, C. Kelly and R. Kenway, Use of stochastic sources for the lattice determination of light quark physics, JHEP 08 (2008) 086 [ arXiv:0804.1501 ] [ INSPIRE ].
E. Endress, A. Juttner and H. Wittig, On the efficiency of stochastic volume sources for the determination of light meson masses, arXiv:1111.5988 [ INSPIRE ].
RBC-UKQCD collaboration, P. Boyle et al., K → π form factors with reduced model dependence, Eur. Phys. J. C 69 (2010) 159 [ arXiv:1004.0886 ] [ INSPIRE ].
C. Michael, Fitting correlated data, Phys. Rev. D 49 (1994) 2616 [ hep-lat/9310026 ] [ INSPIRE ].
F.-J. Jiang and B. Tiburzi, Flavor twisted boundary conditions, pion momentum and the pion electromagnetic form-factor, Phys. Lett. B 645 (2007) 314 [ hep-lat/0610103 ] [ INSPIRE ].
NA7 collaboration, S. Amendolia et al., A Measurement of the Space-Like Pion Electromagnetic Form-Factor, Nucl. Phys. B 277 (1986) 168 [ INSPIRE ].
G. Colangelo, S. Dürr and C. Haefeli, Finite volume effects for meson masses and decay constants, Nucl. Phys. B 721 (2005) 136 [ hep-lat/0503014 ] [ INSPIRE ].
F.-J. Jiang and B.C. Tiburzi, Flavor Twisted Boundary Conditions in the Breit Frame, Phys. Rev. D 78 (2008) 037501 [ arXiv:0806.4371 ] [ INSPIRE ].
G. Colangelo, J. Gasser and H. Leutwyler, ππ scattering, Nucl. Phys. B 603 (2001) 125 [ hep-ph/0103088 ] [ INSPIRE ].
J. Gasser and H. Leutwyler, Chiral Perturbation Theory to One Loop, Annals Phys. 158 (1984) 142 [ INSPIRE ].
U. Burgi, Charged pion pair production and pion polarizabilities to two loops, Nucl. Phys. B 479 (1996) 392 [ hep-ph/9602429 ] [ INSPIRE ].
U. Burgi, Charged pion polarizabilities to two loops, Phys. Lett. B 377 (1996) 147 [ hep-ph/9602421 ] [ INSPIRE ].
J. Bijnens, G. Colangelo, G. Ecker, J. Gasser and M. Sainio, Pion pion scattering at low-energy, Nucl. Phys. B 508 (1997) 263 [Erratum ibid. B 517 (1998) 639] [ hep-ph/9707291 ] [ INSPIRE ].
L. Del Debbio, H. Panagopoulos and E. Vicari, θ dependence of SU(N) gauge theories, JHEP 08 (2002) 044 [ hep-th/0204125 ] [ INSPIRE ].
S. Schaefer, R. Sommer and F. Virotta, Investigating the critical slowing down of QCD simulations, PoS(LAT2009)032 [ arXiv:0910.1465 ] [ INSPIRE ].
ALPHA collaboration, S. Schaefer, R. Sommer and F. Virotta, Critical slowing down and error analysis in lattice QCD simulations, Nucl. Phys. B 845 (2011) 93 [ arXiv:1009.5228 ] [ INSPIRE ].
M. Lüscher and S. Schaefer, Lattice QCD without topology barriers, JHEP 07 (2011) 036 [ arXiv:1105.4749 ] [ INSPIRE ].
M. Lüscher and S. Schaefer, Lattice QCD with open boundary conditions and twisted-mass reweighting, Comput. Phys. Commun. 184 (2013) 519 [ arXiv:1206.2809 ] [ INSPIRE ].