Generalized quasi-, Ioffe-time-, and pseudodistributions of the pion in the Nambu–Jona-Lasinio model

Shastry, Vanamali; Broniowski, Wojciech; Arriola, E. Ruiz

doi:10.1103/physrevd.106.114035

Cited by 7 publications

(4 citation statements)

References 121 publications

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“…Moreover, Ref. [80] result is consistent with Eq. ( 17) because it omits resonance pole contributions to both radii and that in Ref.…”

supporting

confidence: 87%

“…a value consistent with the data-driven result. On the other hand, analyses based on momentum-independent quark+antiquark interactions produce smaller values: 𝑟 𝜃 2 𝜋 /𝑟𝜋 = 0.71 [80] and 𝑟 𝜃 2 𝜋 /𝑟𝜋 = 0.53. [81] Here, for reasons explained elsewhere, [82] the mutual inconsistency is attributable to the different treatments of the momentum-independent interaction used in those studies.…”

mentioning

confidence: 91%

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Empirical Determination of the Pion Mass Distribution

RayaID

Cui

et al. 2023

Chinese Phys. Lett.

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Existing pion+nucleus Drell-Yan and electron+pion scattering data are used to develop ensembles of model-independent representations of the pion generalised parton distribution (GPD). Therewith, one arrives at a data-driven prediction for the pion mass distribution form factor, $\theta_2^\pi $. Compared with the pion elastic electromagnetic form factor, $\theta_2^\pi$ is harder: the ratio of the radii derived from these two form factors is $r_\pi^{\theta_2}/r_\pi = 0.79(3)$. Our data-driven predictions for the pion GPD, related form factors and distributions should serve as valuable constraints on theories of pion structure.

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“…Moreover, Ref. [80] result is consistent with Eq. ( 17) because it omits resonance pole contributions to both radii and that in Ref.…”

supporting

confidence: 87%

mentioning

confidence: 91%

Empirical Determination of the Pion Mass Distribution

RayaID

Cui

et al. 2023

Chinese Phys. Lett.

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“…Most of the reported progress concerns parton distribution functions (PDFs), but more recently, lattice extraction of GPDs also received a lot of attention. Results were reported for the matching [11][12][13][14][15], within phenomenological models [16][17][18][19][20] and, particularly, first pioneering computations were obtained for the pion GPDs [21] and the nucleon GPDs -unpolarized and helicity [22], transversity [23] and even twist-3 ones [24].…”

Section: Theoretical and Lattice Setupmentioning

confidence: 99%

Accessing proton GPDs in asymmetric frames: Numerical implementation

Constantinou¹,

Bhattacharya²,

Cichy³

et al. 2023

Proceedings of the 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

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In this work, we present a numerical investigation of a novel Lorentz-covariant parametrization to extract 𝑥-dependent GPDs using off-forward matrix elements of momentum-boosted hadrons coupled to non-local operators. The novelty of the method is the implementation of a asymmetric frame for the momentum transfer between the initial and final hadron state and the parametrization of the matrix elements into Lorentz-invariant amplitudes. The amplitudes can then be related to the standard light-cone GPDs. GPDs are defined in the symmetric frame, which requires a separate calculation for each value of the momentum transfer, increasing the computational cost significantly. The proposed method is powerful, as one can extract the GPDs at multiple values of the momentum transfer at the computational cost of a single value. For this proof-of-concept calculation, we use one ensemble of 𝑁 𝑓 = 2 + 1 + 1 twisted mass fermions and a clover improvement with a pion mass of 260 MeV to calculate the proton unpolarized GPDs.

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“…Naturally, systematic ways of connecting Euclidean with lightfront quantities has been explored. Such is the case of quasi and pseudo distributions [15][16][17], and the use of the overlap representation of the light-front wave function [18]. The latter is rather promising, since all ingredients can be obtained in a covariant formulation and subsequently projected onto the light-front [19][20][21].…”

mentioning

confidence: 99%

A fresh look at the generalized parton distributions of light pseudoscalar mesons

Xing¹,

Ding²,

Raya³

et al. 2023

Preprint

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We present a symmetry-preserving scheme to derive the pion and kaon generalized parton distributions (GPDs) in Euclidean space. The key to maintaining crucial symmetries under this approach is the treatment of the scattering amplitude, such that it contains both the traditional leading-order contributions and the scalar/vector pole contribution automatically, the latter being necessary to ensure the soft-pion theorem. The GPD is extracted analytically via the uniqueness and definition of the Mellin moments and we find that it naturally matches the double distribution; consequently, the polynomiality condition and sum rules are satisfied. The present scheme thus paves the way for the extraction of the GPD in Euclidean space using the Dyson-Schwinger equation framework or similar continuum approaches.

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Generalized quasi-, Ioffe-time-, and pseudodistributions of the pion in the Nambu–Jona-Lasinio model

Cited by 7 publications

References 121 publications

Empirical Determination of the Pion Mass Distribution

Empirical Determination of the Pion Mass Distribution

Accessing proton GPDs in asymmetric frames: Numerical implementation

A fresh look at the generalized parton distributions of light pseudoscalar mesons

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