QCD corrections to the nucleon's spin structure function g2(x, Q2)

Kodaira, Jiro; Yasui, Yoshiaki; Tanaka, Kazuhiro; Uematsu, Tsuneo

doi:10.1016/0370-2693(96)01087-8

Cited by 56 publications

(67 citation statements)

References 14 publications

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“…[71]. The RG evolution of higher twist operators has also been well studied [122][123][124][125][126][127][128][129][130][131][132][133], and should exhibit similar structures. Finally, an understanding of the numerical impact of the subleading corrections for e + e − → dijets event shapes would be of considerable interest, for example, for improving extractions of α s performed in [78,[134][135][136].…”

Section: Jhep11(2017)142mentioning

confidence: 98%

A complete basis of helicity operators for subleading factorization

Feige

Kolodrubetz

Moult

et al. 2017

J. High Energ. Phys.

193

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Factorization theorems underly our ability to make predictions for many processes involving the strong interaction. Although typically formulated at leading power, the study of factorization at subleading power is of interest both for improving the precision of calculations, as well as for understanding the all orders structure of QCD. We use the SCET helicity operator formalism to construct a complete power suppressed basis of hard scattering operators for e + e − → dijets, e − p → e − jet, and constrained Drell-Yan, including the first two subleading orders in the amplitude level power expansion. We analyze the field content of the jet and soft function contributions to the power suppressed cross section for e + e − → dijet event shapes, and give results for the lowest order matching to the contributing operators. These results will be useful for studies of power corrections both in fixed order and resummed perturbation theory.

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Section: Jhep11(2017)142mentioning

confidence: 98%

A complete basis of helicity operators for subleading factorization

Feige

Kolodrubetz

Moult

et al. 2017

J. High Energ. Phys.

193

View full text Add to dashboard Cite

show abstract

“…Since the more recent paper by Kodaira et al [12] (see also [13]) is closest to the methods applied on the lattice, let us briefly recapitulate the main findings of these authors.…”

Section: Renormalization and Mixing In Continuum Perturbation Theorymentioning

confidence: 99%

Lattice calculation of the nucleon’s spin-dependent structure functiong2reexamined

et al. 2001

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Our previous calculation of the spin-dependent structure function g 2 is revisited. The interest in this structure function is to a great extent motivated by the fact that it receives contributions from twist-two as well as from twistthree operators already in leading order of 1/Q 2 thus offering the unique possibility of directly assessing higher-twist effects. In our former calculation the lattice operators were renormalized perturbatively and mixing with lowerdimensional operators was ignored. However, the twist-three operator which gives rise to the matrix element d 2 mixes non-perturbatively with an operator of lower dimension. Taking this effect into account leads to a considerably smaller value of d 2 , which is consistent with the experimental data.

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“…The Q 2 -evolution of the twist-2 distribution functions has been fully discussed since the first application of QCD to hard processes; for example, the Q 2 -evolution of h 1 was studied in [2] by employing the Altarelli-Parisi equation [9]. As for the higher twist ones, there has been several works on the Q 2 -evolution of g T by generalizing the Altarelli-Parisi equation to the higher twist distribution [10,11] and by the anomalous dimension calculation [12,13,14,15]. But there has been no discussion on the Q 2 -evolution of another important twist-3 distribution h L .…”

Section: Introductionmentioning

confidence: 99%

Q2evolution of the nucleon’s chiral-odd twist-three structure function:hL
Koike
¹
,
Tanaka
²

1995
Phys. Rev. D
Self Cite
57
4
79
0
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We investigate the Q 2 -evolution of the chiral-odd spin-dependent parton distribution h L (x, Q 2 ) relevant for the polarized Drell-Yan processes. The results are obtained in the leading logarithmic order in the framework of the renormalization group and the standard QCD perturbation theory. We calculate the anomalous dimension matrix for the twist-3 operators for h L in the one-loop order. The operator mixing among the relevant twist-3 operators including the operators proportional to the QCD equations of motion is treated properly in a consistent scheme. Implications for future experiments are also discussed.

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QCD corrections to the nucleon's spin structure function g2(x, Q2)

Cited by 56 publications

References 14 publications

A complete basis of helicity operators for subleading factorization

A complete basis of helicity operators for subleading factorization

Lattice calculation of the nucleon’s spin-dependent structure functiong2reexamined

Q2evolution of the nucleon’s chiral-odd twist-three structure function:hL
Koike
¹
,
Tanaka
²

1995
Phys. Rev. D
Self Cite
57
4
79
0
View full text Add to dashboard Cite

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QCD corrections to the nucleon's spin structure function g2(x, Q2)

Cited by 56 publications

References 14 publications

A complete basis of helicity operators for subleading factorization

A complete basis of helicity operators for subleading factorization

Lattice calculation of the nucleon’s spin-dependent structure functiong2reexamined

Q2evolution of the nucleon’s chiral-odd twist-three structure function:hLKoike1, Tanaka2 1995Phys. Rev. DSelf Cite574790View full textAdd to dashboardCite

Contact Info

Product

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About

Q2evolution of the nucleon’s chiral-odd twist-three structure function:hL
Koike
¹
,
Tanaka
²

1995
Phys. Rev. D
Self Cite
57
4
79
0
View full text Add to dashboard Cite