On the twist-2 contributions to polarized structure functions and new sum rules

Abstract

The twist-2 contributions to the polarized structure functions in deep inelastic lepton--hadron scattering are calculated including the exchange of weak bosons and using both the operator product expansion and the covariant parton model. A new relation between two structure functions leading to a sequence of new sum rules is found. The light quark mass corrections to the structure functions are derived in lowest order QCD.

15 pages Latex, inclding five eps-figures, all compressed by uufile substituting the ps-file available before

References in corpus (3)

• The theory and phenomenology of polarized deep inelastic scattering
• Polarized deep inelastic scattering at high energies and parity violating structure functions
• $\mathcal{O}({\alpha }_s)$ Spin-Dependent Weak Structure Functions

Cited by in corpus (43)

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• The 3-Loop Non-Singlet Heavy Flavor Contributions and Anomalous Dimensions for the Structure Function $F_2(x,Q^2)$ and Transversity
• The Theory of Deeply Inelastic Scattering
• On the Twist 2 and Twist 3 Contributions to the Spin-dependent Electroweak Structure Functions
• The Virtual Compton Amplitude in the Generalized Bjorken Region: Twist--2 Contributions
• The massless three-loop Wilson coefficients for the deep-inelastic structure functions $F_2,F_L,x{F}_3$ and $g_1$
• The Complete $O({\alpha }_s^2)$ Non-Singlet Heavy Flavor Corrections to the Structure Functions $g_{1,2}^{ep}(x,Q^2)$, $F_{1,2,L}^{ep}(x,Q^2)$, $F_{1,2,3}^{\nu (\bar{\nu })}(x,Q^2)$ and the Associated Sum Rules
• The $O({\alpha }_s^2)$ Heavy Quark Corrections to Charged Current Deep-Inelastic Scattering at large Virtualities
• On the Structure of the Virtual Compton Amplitude in the Generalized Bjorken Region: Integral Relations
• Effective field theory for radiative corrections to charged-current processes I: Vector coupling
• An exact sum rule for transversely polarized DIS
• The 3-Loop Non-Singlet Heavy Flavor Contributions to the Structure Function g_1(x,Q^2) at Large Momentum Transfer
• Prospects for Charged Current Deep-Inelastic Scattering off Polarized Nucleons at a Future Electron-Ion Collider
• Structure of the nucleon at leading and subleading twist in the covariant parton model
• The Polarized Two-Loop Massive Pure Singlet Wilson Coefficient for Deep-Inelastic Scattering
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• The Evolution of Unpolarized and Polarized Structure Functions at Small $x$
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• The Logarithmic Contributions to the Polarized and Operator Matrix Elements in Deeply Inelastic Scattering
• Target mass and finite momentum transfer corrections to unpolarized and polarized diffractive scatterin
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• Polarized Deep Inelastic Diffractive ep Scattering: Operator Approach
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• Twist-2 Heavy Flavor Contributions to the Structure Function $g_2(x,Q^2)$
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• New proton polarized structure functions in charged current processes at HERA
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• Leading log radiative corrections to polarized heavy flavour leptoproduction
• QCD and power corrections to sum rules in deep-inelastic lepton-nucleon scattering
• Radiative corrections to neutron beta decay and (anti)neutrino-nucleon scattering from low-energy effective field theory
• Analyzing the nucleon spin in weak interaction processes at HERA energies
• Target mass corrections to matrix elements in nucleon spin structure functions
• Perturbative Regge asymptotics in the case of non-vacuum exchange
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• Parton model description of quark and antiquark correlators and TMDs
• The Small-x Behaviour of the Singlet Polarized Structure Function g_2 in the Double Logarithmic Approximation
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