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This study deals with the theory and phenomenology of transverse spin effects in high-energy hadronic physics. Contrary to common past belief, it is now rather clear that these effects are far from irrelevant. A decade or so of intense theoretical work has shed much light on the subject and brought to the surface an entire class of new phenomena, which now await thorough experimental investigation. Over the next few years a number of experiments worldwide (at DESY, CERN and Brookhaven) will run with transversely polarised particles, providing data that will enrich our knowledge of the transverse spin structure of hadrons. The principle aim of this work is to assess the state of the art as it stands in 2002. After a few introductory remarks (Chapter 1), in the first part (Chapters 2-4) attention is directed to polarised deep inelastic scattering (DIS), particularly DIS on transversely polarised targets, which probes the transverse spin structure function g2. This structure function is examined within the framework of the quark-parton model and its improvement via perturbative QCD. The existing data are reviewed and commented on (for completeness and comparison, a brief presentation of longitudinally polarised DIS and of the helicity structure of the proton is provided). The second part of the book (Chapters 5-8) focuses on the transverse polarisation of quarks, the so-called "transversity". The partonic content and the QCD evolution of the transversity distributions are presented in detail. The phenomenology of transversity is then studied in the context of Drell-Yan processes and of semi-inclusive lepto- and hadroproduction. The interpretation of data on single-spin asymmetries is discussed and, finally, the prospects for future measurements are reviewed.
| Preface | p. vii |
| Introduction | p. 1 |
| The transverse-spin structure function and the transversity distributions | p. 2 |
| A first look at g[subscript 2] | p. 3 |
| A prelude to transversity | p. 5 |
| Notation and terminology | p. 9 |
| Conventions | p. 11 |
| Polarised deeply-inelastic scattering | p. 13 |
| Basics of DIS | p. 14 |
| The unpolarised cross-section | p. 17 |
| Polarised cross-sections | p. 19 |
| Target polarisation | p. 22 |
| Forward virtual Compton scattering | p. 24 |
| Spin asymmetries | p. 26 |
| The partonic content of structure functions | p. 28 |
| Unpolarised structure functions | p. 31 |
| The longitudinal spin structure function | p. 33 |
| The transverse-spin structure function | p. 34 |
| Mellin moments of polarised structure functions | p. 39 |
| The first moment of g[subscript 1] | p. 40 |
| The Bjorken sum rule | p. 42 |
| The Wandzura-Wilczek relation | p. 43 |
| The Burkhardt-Cottingham sum rule | p. 44 |
| The Efremov-Leader-Teryaev sum rule | p. 46 |
| Experimental results on polarised structure functions | p. 46 |
| Transverse spin in electroweak DIS | p. 53 |
| The transverse-spin structure of the proton | p. 57 |
| The quark-quark correlation matrix | p. 57 |
| Leading-twist distribution functions | p. 59 |
| Probabilistic interpretation of distribution functions | p. 62 |
| Vector, axial and tensor charges | p. 65 |
| Quark-nucleon helicity amplitudes | p. 66 |
| The Soffer inequality | p. 68 |
| Transverse motion of quarks | p. 70 |
| Twist-three distributions | p. 75 |
| Sum rules for [Delta subscript T]f and gT | p. 81 |
| T-odd distributions | p. 83 |
| Model calculations | p. 87 |
| Models for the transversity distributions | p. 88 |
| Calculations of the tensor charges | p. 96 |
| Models for g[subscript 2] | p. 98 |
| The QCD evolution of transversity | p. 103 |
| The renormalisation-group equation | p. 104 |
| QCD evolution at leading order | p. 109 |
| QCD evolution at next-to-leading order | p. 115 |
| Fragmentation functions at next-to-leading order | p. 123 |
| Evolution of the transversity distributions | p. 126 |
| Evolution of the Soffer inequality and positivity constraints | p. 131 |
| The low-x behaviour of h[subscript 1] | p. 135 |
| The g[subscript 2] structure function in QCD | p. 137 |
| The operator-product expansion--non-singlet | p. 139 |
| Ladder-diagram summation | p. 143 |
| Singlet g[subscript 2] in LO | p. 146 |
| Non-singlet and singlet coefficients g[subscript 2] in NLO | p. 146 |
| Sum rules for g[subscript 2] in QCD | p. 147 |
| The Burkhardt-Cottingham sum rule in QCD | p. 147 |
| The Wandzura-Wilczek relation in QCD | p. 149 |
| The Efremov-Leader-Teryaev sum rule in QCD | p. 150 |
| Low-x behaviour of g2 | p. 150 |
| Twist-three evolution equations in the large-N[subscript c] limit | p. 151 |
| Evolution of the g2 fragmentation function | p. 154 |
| Transversity in Drell-Yan production | p. 157 |
| Double transverse-spin asymmetries | p. 157 |
| The Drell-Yan process | p. 158 |
| Z[superscript 0]-mediated Drell-Yan processes | p. 165 |
| Factorisation in Drell-Yan processes | p. 165 |
| Twist-three contributions to the Drell-Yan process | p. 171 |
| Predictions for Drell-Yan double transverse-spin asymmetries | p. 176 |
| Transversity at RHIC | p. 179 |
| Transversity in inclusive leptoproduction | p. 183 |
| Single-particle leptoproduction: definitions and kinematics | p. 183 |
| The partonic description of semi-inclusive DIS | p. 187 |
| The fragmentation matrix | p. 190 |
| Time reversal and transverse polarisation | p. 192 |
| Leading-twist fragmentation functions | p. 194 |
| [kappa subscript T]-dependent fragmentation functions | p. 197 |
| The Collins fragmentation function | p. 200 |
| Cross-sections and asymmetries of inclusive leptoproduction | p. 203 |
| Integrated cross-sections | p. 205 |
| Single-spin azimuthal asymmetries | p. 205 |
| Factorisation in semi-inclusive DIS | p. 211 |
| The collinear case | p. 211 |
| The non-collinear case | p. 216 |
| Sudakov form factors | p. 218 |
| Inclusive leptoproduction at twist three | p. 219 |
| Two-particle leptoproduction | p. 220 |
| Leptoproduction of spin-one hadrons | p. 229 |
| Transversity in exclusive leptoproduction processes | p. 231 |
| Phenomenological analyses and experimental results | p. 232 |
| [Lambda superscript 0] hyperson polarimetry | p. 232 |
| Azimuthal asymmetries in pion leptoproduction | p. 234 |
| Transverse polarisation in e[superscript +]e[superscript -] collisions | p. 241 |
| Experimental perspectives | p. 242 |
| HERMES | p. 242 |
| COMPASS | p. 243 |
| ELFE | p. 244 |
| TESLA-N | p. 244 |
| Transversity in inclusive hadroproduction | p. 245 |
| Inclusive hadroproduction with a transversely polarised target | p. 245 |
| Transverse motion of quarks and single-spin asymmetries | p. 248 |
| Single-spin asymmetries at twist three | p. 251 |
| Experimental results and phenomenology | p. 252 |
| Polarisation of a Dirac particle | p. 257 |
| The polarisation operator and spin vector | p. 257 |
| Longitudinal polarisation | p. 259 |
| Transverse polarisation | p. 260 |
| The spin density matrix | p. 261 |
| Sudakov decomposition of yectors | p. 263 |
| Projectors for structure functions | p. 265 |
| Reference frames | p. 267 |
| The [gamma]*N collinear frames | p. 267 |
| The hN collinear frames | p. 268 |
| Dimensional regularisation and minimal subtraction | p. 271 |
| Mellin-moment identities | p. 275 |
| Bibliography | p. 277 |
| Index | p. 291 |
| Table of Contents provided by Rittenhouse. All Rights Reserved. |
ISBN: 9789812381019
ISBN-10: 9812381015
Published: 26th March 2003
Format: Hardcover
Language: English
Number of Pages: 308
Audience: Professional and Scholarly
Publisher: World Scientific Publishing Co Pte Ltd
Country of Publication: SG
Dimensions (cm): 22.23 x 16.51 x 2.54
Weight (kg): 0.54
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