Twist-three relations of gluonic correlators for the transversely polarized nucleon

Abstract

We derive exact relations among the polarized gluon and three-gluon distributions in the transversely polarized nucleon which are relevant to single and double spin asymmetries in various hard processes. We also discuss the partonic decomposition of the transverse nucleon spin and point out a potential problem with frame-independence.

18 pages; v2: revised version, references added, to appear in JHEP

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• The relativistic center of mass in field theory with spin
• Where do we stand with a 3-D picture of the proton?
• Three-loop formula for quark and gluon contributions to the QCD trace anomaly
• Transverse Spin Structure of the Nucleon
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• Exact Relations for Twist-3 Gluon Distribution and Fragmentation Functions from Operator Identities
• Double-spin asymmetry $A_{LT}$ in open charm production
• Relativistic spin sum rules and the role of the pivot
• $CP$-odd gluonic operators in QCD spin physics
• Transverse spin sum rule of the proton
• The $g_T(x)$ contribution to single spin asymmetries in SIDIS
• Twist-four gravitational form factor at NNLO QCD from trace anomaly constraints
• On the two remaning issues in the gauge-invariant decomposition problem of the nucleon spin
• On the odderon mechanism for transverse single spin asymmetry in the Wandzura-Wilczek approximation
• Mapping the transverse spin sum rule in position space
• Spin structure of the nucleon on the light front
• Three-loop corrections to the quark and gluon decomposition of the QCD trace anomaly and their applications
• Twist-2 relations for the twist-3 tensor-polarized distribution function $f_{LT}$ of a spin-1 hadron by the operator-product-expansion method
• Operator Relations for Gravitational Form Factors