Leading Chiral Contributions to the Spin Structure of the Proton

Chen, Jiunn-Wei; Ji, Xiangdong

doi:10.1103/physrevlett.88.052003

Cited by 73 publications

(24 citation statements)

References 22 publications

(23 reference statements)

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“…More recently, finite vol- ume corrections to twist-2 nucleon matrix elements were investigated in some detail in [DL05] to leading 1-loop order in partially-quenched HBChPT. Leading chiral corrections to the angular momentum contributions of quarks and gluons to the proton spin, J q,g have been calculated in [CJ02], in the framework of HBChPT including ∆ intermediate states. Subsequently, the pion mass and momentum dependence of form factors of the energy momentum tensor, i.e.…”

Section: Results From Chiral Perturbation Theorymentioning

confidence: 99%

Hadron structure from lattice quantum chromodynamics

2010

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This is a review of hadron structure physics from lattice QCD. Throughout this report, we place emphasis on the contribution of lattice results to our understanding of a number of fundamental physics questions related to, e.g., the origin and distribution of the charge, magnetization, momentum and spin of hadrons. Following an introduction to some of the most important hadron structure observables, we summarize the methods and techniques employed for their calculation in lattice QCD. We briefly discuss the status of relevant chiral perturbation theory calculations needed for controlled extrapolations of the lattice results to the physical point. In the main part of this report, we give an overview of lattice calculations on hadron form factors, moments of (generalized) parton distributions, moments of hadron distribution amplitudes, and other important hadron structure observables. Whenever applicable, we compare with results from experiment and phenomenology, taking into account systematic uncertainties in the lattice computations. Finally, we discuss promising results based on new approaches, ideas and techniques, and close with remarks on future perspectives of the field.

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Section: Results From Chiral Perturbation Theorymentioning

confidence: 99%

Hadron structure from lattice quantum chromodynamics

2010

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“…The EMTFFs of the nucleon have been investigated in the framework of Lattice QCD [9][10][11][12][13][14][15][16], chiral perturbation theory (χPT) [17][18][19][20][21][22], instant and front form (IFF) [23], Skyrme model [24,25], chiral quark soliton model (χQSM) [7,[26][27][28][29][30][31][32][33][34][35], light-cone QCD sum rules at leading order(LCSR-LO) [36], dispersion relation (DR) [37] and instanton picture (IP) [38]. In Ref.…”

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confidence: 99%

Nucleon’s energy–momentum tensor form factors in light-cone QCD

Azizi

Özdem

2020

Eur. Phys. J. C

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We use the energy-momentum tensor (EMT) current to compute the EMT form factors of the nucleon in the framework of the light cone QCD sum rule formalism. In the calculations, we employ the most general form of the nucleon's interpolating field and use the distribution amplitudes (DAs) of the nucleon with two sets of the numerical values of the main input parameters entering the expressions of the DAs. The directly obtained results from the sum rules for the form factors are reliable at Q 2 ≥ 1 GeV 2 : To extrapolate the results to include the zero momentum transfer squared with the aim of estimation of the related static physical quantities, we use some fit functions for the form factors. The numerical computations show that the energy-momentum tensor form factors of the nucleon can be well fitted to the multipole fit form. We compare the results obtained for the form factors at Q 2 = 0 with the existing theoretical predictions as well as experimental data on the gravitational form factor d q 1 (0). For the form factors M q 2 (0) and J q (0) a consistency among the theoretical predictions is seen within the errors: Our results are nicely consistent with the Lattice QCD and chiral perturbation theory predictions. However, there are large discrepancies among the theoretical predictions on d q 1 (0). Nevertheless, our prediction is in accord with the JLab data as well as with the results of the Lattice QCD, chiral perturbation theory and KM15-fit. Our fit functions well define most of the JLab data in the interval Q 2 ∈ [0, 0.4] GeV 2 , while the Lattice results suffer from large uncertainties in this region. As a by-product, some mechanical properties of the nucleon like the pressure and energy density at the center of nucleon as well as its mechanical radius are also calculated and their results are compared with other existing theoretical predictions.

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“…Chiral perturbation theory was first applied to forward twist-2 matrix elements in [102][103][104] then applied to off-forward matrix elements [105]. The quenched [106] and partially quenched [61] versions followed subsequently.…”

Section: Twist-2 Matrix Elements Of the Nucleonmentioning

confidence: 99%

Universality of mixed action extrapolation formulae

Chen

Walker-Loud

O’Connell

2009

J. High Energy Phys.

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Mixed action theories with chirally symmetric valence fermions exhibit very desirable features both at the level of the lattice calculations as well as in the construction and implementation of the low energy mixed action effective field theory. In this work we show that when such a mixed action effective field theory is projected onto the valence sector, both the Lagrangian and the extrapolation formulae become universal in form through next to leading order, for all variants of discretization methods used for the sea fermions. Our conclusion relies on the chiral nature of the valence quarks. The result implies that for all sea quark methods which are in the same universality class as QCD, the numerical values of the physical coefficients in the various mixed action chiral Lagrangians will be the same up to lattice spacing dependent corrections. This allows us to construct a prescription to determine the mixed action extrapolation formulae for a large class of hadronic correlation functions computed in partially quenched chiral perturbation theory at the one-loop level. For specific examples, we apply this prescription to the nucleon twist-2 matrix elements and the nucleon-nucleon system. In addition, we determine the mixed action extrapolation formula for the neutron EDM as this provides a nice example of aθ-dependent observable; these observables are exceptions to our prescription.

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Leading Chiral Contributions to the Spin Structure of the Proton

Cited by 73 publications

References 22 publications

Hadron structure from lattice quantum chromodynamics

Hadron structure from lattice quantum chromodynamics

Nucleon’s energy–momentum tensor form factors in light-cone QCD

Universality of mixed action extrapolation formulae

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