QCD resummation techniques

Acknowledgements......Page 10
Introduction......Page 12
I Regge Resummation......Page 17
Introduction......Page 18
Kinematics and Gauge......Page 22
Singular contributions and reduced diagrams......Page 26
Power counting......Page 29
First factorized form......Page 36
Decoupling of a soft gluon from a jet......Page 39
Variation of a jet function with respect to a gauge fixing vector......Page 42
Dependence of a jet function on the plus component of a soft gluon's momentum attached to it......Page 45
Factorization and Evolution Equations......Page 47
Second factorized form......Page 48
Evolution equation......Page 52
Counting the number of logarithms......Page 58
Solution of the evolution equations......Page 60
Conclusions......Page 65
The Applications......Page 66
Amplitude at LL......Page 67
Amplitude at NLL......Page 73
Evolution of (n) at LL......Page 85
Color octet and negative signature amplitude......Page 87
NLL evolution equation for JA(1)......Page 91
Conclusions......Page 96
II Resummation in Dijet Events......Page 98
Introduction......Page 99
Weights and energy flow in dijet events......Page 104
Weight functions and jet shapes......Page 108
Low order example......Page 110
Factorization of the Cross Section......Page 114
Leading regions near the two-jet limit......Page 115
The factorization in convolution form......Page 118
The short-distance function......Page 123
The jet functions......Page 125
The soft function......Page 129
Resummation......Page 133
Energy flow......Page 134
Event shape transform......Page 137
The resummed correlation......Page 141
The inclusive event shape......Page 143
Lowest order functions and anomalous dimensions......Page 144
Checking the c-dependence......Page 149
The inclusive event shape at NLL......Page 150
Closed expressions......Page 154
Numerical Results......Page 156
Summary and Outlook......Page 159
Power counting with contracted vertices......Page 162
Varying the Gauge-Fixing Vector......Page 168
Tulip-Garden Formalism......Page 172
Feynman Rules......Page 174
Origin of Glauber Region......Page 176
Symmetry property of the jet functions......Page 178
Evolution kernel......Page 181
Eikonal Example......Page 195
Recoil......Page 199
Bibliography......Page 215