Lattice results for low moments of light meson distribution amplitudes

Arthur, Rangel; Boyle, P. A.; Brömmel, Dirk; Donnellan, Michael; Flynn, Jonathan M.; Jüttner, Andreas; Rae, Thomas; Sachrajda, C.T.

doi:10.1103/physrevd.83.074505

Cited by 96 publications

(114 citation statements)

References 78 publications

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“…Lattice QCD calculations have been used to determine a π 2 [49,50] and this changes the asymptotic prediction substantially in the region of Q 2 around 10 GeV 2 . The calculation of yet higher order corrections is complicated by operator mixing [51].…”

Section: Discussion/conclusionmentioning

confidence: 99%

Pseudoscalar meson electromagnetic form factor at high Q2 from full lattice QCD

et al. 2017

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We give an accurate determination of the vector (electromagnetic) form factor, F (Q 2 ), for a light pseudoscalar meson up to squared momentum transfer Q 2 values of 6 GeV 2 for the first time from full lattice QCD, including u, d, s and c quarks in the sea at multiple values of the lattice spacing. Our results show good control of lattice discretisation and sea quark mass effects. We study a pseudoscalar meson made of valence s quarks but the qualitative picture obtained applies also to the π meson, relevant to upcoming experiments at Jefferson Lab. We find that Q 2 F (Q 2 ) becomes flat in the region between Q 2 of 2 GeV 2 and 6 GeV 2 , with a value well above that of the asymptotic perturbative QCD expectation, but well below that of the vector-meson dominance pole form appropriate to low Q 2 values. Our calculations show that we can reach higher Q 2 values in future to shed further light on where the perturbative QCD result emerges.

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Section: Discussion/conclusionmentioning

confidence: 99%

Pseudoscalar meson electromagnetic form factor at high Q2 from full lattice QCD

et al. 2017

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“…Unfortunately, lattice calculations have traditionally only been able to extract the lowest few moments of the pion DA after using the operator product expansion (OPE). The highest moment ever calculated on the lattice is the second moment [13][14][15][16][17], and most calculations struggled with the noise-to-signal ratio. Reference [18] took the moment results from lattice-QCD calculations and reconstructed the pion DA using a specific parametrization; however, the errors propagating from the lattice calculations are relatively large, preventing them from discriminating between the QCD models.…”

Section: Introductionmentioning

confidence: 99%

Pion distribution amplitude from lattice QCD

et al. 2017

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We present the first lattice-QCD calculation of the pion distribution amplitude using the largemomentum effective field theory (LaMET) approach, which allows us to extract light cone parton observables from a Euclidean lattice. The mass corrections needed to extract the pion distribution amplitude from this approach are calculated to all orders in m 2 π =P 2 z . We also implement the Wilson-line renormalization which is crucial to remove the power divergences in this approach, and find that it reduces the oscillation at the end points of the distribution amplitude. Our exploratory result at 310-MeV pion mass favors a single-hump form broader than the asymptotic form of the pion distribution amplitude.

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“…We use the Rome-Southampton RI ′ /MOM scheme to renormalise the relevant operators nonperturbatively [3,6,9]. Multiplying the bare moments by the renormalisation factors, we obtain…”

Section: Renormalisation Of Resultsmentioning

confidence: 99%

“…It is desirable to choose indices so that operator mixing is kept under control and so that there are as few non-zero momentum components as possible [6]. We obtain the first moment from R P {ρ4};4 (t, p) (where the index 4 corresponds to the time direction) with ρ = 1, 2 or 3 and a single non-zero component of momentum, |p ρ | = 2π/L.…”

Section: Meson Distribution Amplitudesmentioning

confidence: 99%

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Parton Distribution Amplitudes

Rae¹,

Arthur²,

Boyle³

et al. 2011

Proceedings of the XXVIII International Symposium on Lattice Field Theory — PoS(Lattice 2010)

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We calculated the first two moments of the light-cone distribution amplitudes for the pseudoscalar mesons (π and K) and the longitudinally polarised vector mesons (ρ, K * and φ ) as part of the UKQCD and RBC collaborations' N f = 2 + 1 domain-wall fermion phenomenology programme. These quantities were obtained with a good precision and, in particular, the expected effects of SU(3)-flavour symmetry breaking were observed. Operators were renormalised nonperturbatively and extrapolations to the physical point were made, guided by leading order chiral perturbation theory. The main results presented are for two volumes, 16 3 ×32 and 24 3 ×64, with a common lattice spacing. Preliminary results for a lattice with a finer lattice spacing, 32 3 × 64, are discussed and a first look is taken at the use of twisted boundary conditions to extract distribution amplitudes.

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Lattice results for low moments of light meson distribution amplitudes

Cited by 96 publications

References 78 publications

Pseudoscalar meson electromagnetic form factor at high Q2 from full lattice QCD

Pseudoscalar meson electromagnetic form factor at high Q2 from full lattice QCD

Pion distribution amplitude from lattice QCD

Parton Distribution Amplitudes

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