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| Preface Chapter 1 Introduction 1.1 The transverse-spin structure function and the transversity distributions 1.2 A first look at g2 1.3 A prelude to transversity 1.4 Notation and terminology 1.5 Conventions Chapter 2 Polarised deeply-inelastic scattering 2.1 Basics of DIS 2.2 The unpolarised cross-section 2.3 Polarised cross-sections 2.4 Target polarisation 2.5 Forward virtual Compton scattering 2.6 Spin asymmetries 2.7 The partonic content of structure functions 2.7.1 Unpolarised structure functions 2.7.2 The longitudinal spin structure function 2.7.3 The transverse-spin structure function 2.8 Mellin moments of polarised structure functions 2.8.1 The first moment of gl 2.8.2 The Bjorken sum rule 2.8.3 The Wandzura-Wilczek relation 2.8.4 The Burkhardt-Cottingham sum rule 2.8.5 The Efremov-Leader-Teryaev sum rule 2.9 Experimental results on polarised structure functions. 2.10 Transverse spin in electroweak DIS Chapter 3 The transverse-spin structure of the proton 3.1 The quark-quark correlation matrix 3.2 Leading-twist distribution functions 3.3 Probabilistic interpretation of distribution functions 3.4 Vector, axial and tensor charges 3.5 Quark-nucleon helicity amplitudes 3.6 The Softer inequality 3.7 Transverse motion of quarks 3.8 Twist-three distributions 3.9 Sum rules for ATf and gT 3.10 T-odd distributions 3.11 Model calculations 3.11.1 Models for the transversity distributions 3.11.2 Calculations of the tensor charges 3.11.3 Models for g2 Chapter 4 The QCD evolution of transversity 4.1 The renormalisation-group equation 4.2 QCD evolution at leading order 4.3 QCD evolution at next-to-leading order 4.4 Fragmentation functions at next-to-leading order 4.5 Evolution of the transversity distributions 4.6 Evolution of the Softer inequality and positivity constraints 4.7 The low-x behaviour of hi Chapter 5 The g2 structure function in QCD 5.1 The operator-product expansion--non-singlet 5.2 Ladder-diagram summation 5.3 Singlet g2 in LO 5.4 Non-singlet and singlet coefficients g2 in NLO 5.5 Sum rules for g2 in QCD 5.5.1 The Burkhardt-Cottingham sum rule in QCD 5.5.2 The Wandzura-Wilczek relation in QCD …… Chapter 6 Transversity in Drell-Yan Prlduction Chapter 7 Transversity in inclusive Ieptoproduction Chapter 8 Transversity in inclusive Hadroproduction Appendix A Polarisation of A Dirac particle Appendix B Sudakov decomposition of yectors Appendix C Projectors for structure functions Appendix D Reference frames Appendix E Dimensional regularisation and minimal subtraction Appendix F Mellin-moment identities Bibliography Index |
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