Deep-inelastic scattering and the operator product expansion in lattice QCD

Detmold, Will; Lin, C.-J. David

doi:10.1103/physrevd.73.014501

Cited by 170 publications

(176 citation statements)

References 65 publications

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“…(8), (9), (10), (12), (13), (14), the UV divergences are actually identical for the one-loop diagrams in both cases (up to a factor of 2 since the contributing diagrams for quasi quark distribution are twice of those for heavy-light quark vector current). Therefore, the one-loop renormalization for quasi quark distribution requires the renormalization of self energy diagrams only, which is equivalent to the renormalization of the heavy-light quark vector current in HQET (for a lattice attempt of obtaining parton distributions using the correlation of heavy-light currents see [22]). …”

Section: One-loop Correction and Renormalization For The Quasi Qumentioning

confidence: 99%

Renormalization of quasiparton distribution

Zhang

2015

Phys. Rev. D

112

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Recent developments showed that light-cone parton distributions can be studied by investigating the large momentum limit of the hadronic matrix elements of spacelike correlators, which are known as quasi parton distributions. Like a light-cone parton distribution, a quasi parton distribution also contains ultraviolet divergences and therefore needs renormalization. The renormalization of non-local operators in general is not well understood. However, in the case of quasi quark distribution, the bilinear quark operator with a straight-line gauge link appears to be multiplicatively renormalizable by the quark wave function renormalization in the axial gauge. We first show that the renormalization of the self energy correction to the quasi quark distribution is equivalent to that of the heavy-light quark vector current in heavy quark effective theory at one-loop order. Assuming this equivalence at two-loop order, we then show that the multiplicative renormalizability of the quasi quark distribution is true at two-loop order.

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Section: One-loop Correction and Renormalization For The Quasi Qumentioning

confidence: 99%

Renormalization of quasiparton distribution

Zhang

2015

Phys. Rev. D

112

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“…This can be chosen as an auxiliary scalar in a e-mail: philipp.wein@physik.uni-r.de the fundamental representation of the color group [6,7], or as an (auxiliary) heavy [8] or light [1] quark. Another suggestion [4] is to replace the Q-field propagator by a Wilson line connectingq(z/2) and q(−z/2).…”

Section: Introductionmentioning

confidence: 99%

Pion distribution amplitude from Euclidean correlation functions

et al. 2018

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Following the proposal in (Braun and Müller. Eur Phys J C55:349, 2008), we study the feasibility to calculate the pion distribution amplitude (DA) from suitably chosen Euclidean correlation functions at large momentum. In our lattice study we employ the novel momentum smearing technique (Bali et al. Phys Rev D93:094515, 2016; Bali et al. Phys Lett B774:91, 2017). This approach is complementary to the calculations of the lowest moments of the DA using the Wilson operator product expansion and avoids mixing with lower dimensional local operators on the lattice. The theoretical status of this method is similar to that of quasidistributions (Ji. Phys Rev Lett 110:262002, 2013) that have recently been used in (Zhang et al. Phys Rev D95:094514, 2017) to estimate the twist two pion DA. The similarities and differences between these two techniques are highlighted.

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“…It has been shown [1,2,3,4,5] that the hadronic tensor W µν (q 2 , ν) can be obtained from the Euclidean path-integral formalism. In this case, one considers the ratio of the four-point function χ N ( p,t)…”

Section: Hadronic Tensor In Path-integral Formulismmentioning

confidence: 99%

“…we define 5) where τ = t 2 − t 1 , Z is the transition matrix element 0|χ N |N , and Γ e = 1+γ 4 2 is the unpolarized projection to the positive parity nucleon state. Inserting intermediate states, W µν ( q 2 , τ) becomes…”

Section: Hadronic Tensor In Path-integral Formulismmentioning

confidence: 99%

Parton Distribution Function from Hadronic Tensor

Liu¹

2016

Proceedings of the 33rd International Symposium on Lattice Field Theory — PoS(LATTICE 2015)

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The path-integral formulation of the hadronic tensor W µν of deep inelastic scattering is reviewed. It is shown that there are 3 gauge invariant and topologically distinct contributions. The separation of the connected sea partons from those of the disconnected sea can be achieved with a combination of the global fit of the parton distribution function (PDF), the semi-inclusive DIS data on the strange PDF and the lattice calculation of the ratio of the strange to u/d momentum fraction in the disconnected insertion.We shall discuss numerical issues associated with lattice calculation of the hadronic tensor involving a four-point function, such as large hadron momenta and improved maximum entropy method to obtain the spectral density from the hadronic tensor in Euclidean time.We also draw a comparison between the large momentum approach to the parton distribution function (PDF) and the hadronic tensor approach.

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Deep-inelastic scattering and the operator product expansion in lattice QCD

Cited by 170 publications

References 65 publications

Renormalization of quasiparton distribution

Renormalization of quasiparton distribution

Pion distribution amplitude from Euclidean correlation functions

Parton Distribution Function from Hadronic Tensor

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