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Resummation with Wilson lines off the light cone
Authors:Hsiang-nan Li
Institution:1. Institute of Physics, Academia Sinica, Taipei, Taiwan, 115, Republic of China
2. Department of Physics, Tsing-Hua University, Hsinchu, Taiwan, 300, Republic of China
3. Department of Physics, National Cheng-Kung University, Tainan, Taiwan, 701, Republic of China
Abstract:I review the resummation formalism for organizing large logarithms in perturbative expansion of collinear subprocesses through the variation of Wilson lines off the light cone. A master equation is derived, which involves the evolution kernel resulting from this variation. It is then demonstrated that all the known single- and double-logarithm summations for a parton distribution function or a transverse-momentum-dependent parton distribution can be reproduced from the master equation by applying appropriate soft-gluon approximations to the evolution kernel. Moreover, jet substructures, information which is crucial for particle identification at the Large Hadron Collider and usually acquired from event generators, can also be calculated in this formalism.
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