On the finiteness of scaling sum rules

Broadhurst, J.F; Gunion, John F.; Jaffe, R.L.

doi:10.1016/0003-4916(73)90481-8

Cited by 27 publications

(14 citation statements)

References 28 publications

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“…The connection with the chiral theory allows us to identify, for the first time, a δ-function contribution to the s PDF at x = 0, as well as a valence-like component of the s-quark PDF. This result complements earlier discussions of δ-function contributions in the context of the unpolarized Schwinger term and proton spin sum rules [36,37].…”

supporting

confidence: 88%

Constraints On The sbar-s Asymmetry Of The Proton In Chiral Effective Theory

Wang¹

2017

Proceedings of the 26th International Nuclear Physics Conference — PoS(INPC2016)

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We investigate the s −s asymmetry in the proton in chiral effective theory. Unlike previous meson cloud model calculations, which accounted for kaon loop contributions with on-shell intermediate states alone, this work includes off-shell terms and contact interactions, which impact the shape of the s −s difference. We use the hyperon production data and the latest results from global PDF fits to constrain the parameters within Pauli-Villars regularization procedure, which preserves chiral symmetry and Lorentz invariance. We also extract the correction to the NuTeV anomaly from strange asymmetry effect.

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supporting

confidence: 88%

Constraints On The sbar-s Asymmetry Of The Proton In Chiral Effective Theory

Wang¹

2017

Proceedings of the 26th International Nuclear Physics Conference — PoS(INPC2016)

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“…Besides e(x) and g 2 (x), there is a light-cone sum rule for the tensor charge related to twist-three longitudinally-polarized distribution h L (x), which contains a potential δ(x) [20,21]. In terms of the dispersion relations related to the socalled light-cone current algebra, the existence of the δfunction contributions corresponds to a subtraction constant, called J = 0 fixed pole [23][24][25]. Such contributions exist in general for higher-twist LF observables, and the example of F L (x) considered in the old literature (see also [26]) corresponds to a twist-four distribution.…”

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confidence: 99%

Fundamental Properties of the Proton in Light-Front Zero Modes

2020

Preprint

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For a proton in the infinite momentum frame, its wave function contains a zero-momentum part (light-front zero-modes) originated from the modification of the QCD vacuum in the presence of the valence quarks, exhibiting a light-front long-range order in the quantum state. This "non-travelling" component of the proton contributes to its fundamental properties, including the mass and spin, as well as the naive-time-reversal-odd correlations between transverse momentum and spin. The large momentum effective theory (LaMET) provides a theoretical approach to study the physical properties of the proton's zero-mode "condensate" through lattice simulations.

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“…Suggestions of possible δ-function contributions to PDFs were raised earlier [42,43] in discussions of the unpolarized Schwinger term and proton spin sum rules. The practical implication of the δ-function terms is to provide significantly greater flexibility in the allowed phenomenological parametrization of the s −s difference, suggesting that current forms used in global PDF analysis may be too restrictive.…”

Section: Introductionmentioning

confidence: 99%

Strange-quark asymmetry in the proton in chiral effective theory

Wang

Melnitchouk

et al. 2016

Phys. Rev. D

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We perform a comprehensive analysis of the strange-antistrange parton distribution function (PDF) asymmetry in the proton in the framework of chiral effective theory, including the full set of lowest order kaon loop diagrams with off-shell and contact interactions, in addition to the usual on-shell contributions previously discussed in the literature. We identify the presence of δ-function contributions to thes PDF at x = 0, with a corresponding valence-like component of the s-quark PDF at larger x, which allows greater flexibility for the shape of s −s. Expanding the moments of the PDFs in terms of the pseudoscalar kaon mass, we compute the leading nonanalytic behavior of the number and momentum integrals of the s ands distributions, consistent with the chiral symmetry of QCD. We discuss the implications of our results for the understanding of the NuTeV anomaly and for the phenomenology of strange quark PDFs in global QCD analysis.

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On the finiteness of scaling sum rules

Cited by 27 publications

References 28 publications

Constraints On The sbar-s Asymmetry Of The Proton In Chiral Effective Theory

Constraints On The sbar-s Asymmetry Of The Proton In Chiral Effective Theory

Fundamental Properties of the Proton in Light-Front Zero Modes

Strange-quark asymmetry in the proton in chiral effective theory

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