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Light-like Wilson line at next-to-next-to-leading order

Svensson, Viktor LU (2015) PHYM01 20151
Department of Physics
Theoretical Particle Physics
Abstract
In this thesis, we consider basic properties of Wilson lines, with special attention devoted to the renormalization and exponentiation property. We describe the generating function approach to non-abelian exponentiation and perform the calculation of the correlator of two and three semi-infinite Wilson lines meeting at a single point to two-loop order. We consider Wilson lines on lightcone and regularize infrared divergences with a $\delta$-regulator. The three line calculation is done within the generating function approach. Using this calculation, we derive the cusp anomalous dimension and soft anomalous dimension at two-loop order. We discuss the problems arising from the use of the $\delta$-regulator for lightlike Wilson lines, and... (More)
In this thesis, we consider basic properties of Wilson lines, with special attention devoted to the renormalization and exponentiation property. We describe the generating function approach to non-abelian exponentiation and perform the calculation of the correlator of two and three semi-infinite Wilson lines meeting at a single point to two-loop order. We consider Wilson lines on lightcone and regularize infrared divergences with a $\delta$-regulator. The three line calculation is done within the generating function approach. Using this calculation, we derive the cusp anomalous dimension and soft anomalous dimension at two-loop order. We discuss the problems arising from the use of the $\delta$-regulator for lightlike Wilson lines, and conclude that this regularization is inappropriate for higher-loop calculation. The obtained result is to be used for higher order analysis of the soft factor and can be used for application in multi-hadron factorization theorems, threshold resummation, etc. (Less)
Popular Abstract
Understanding the properties of gluonic strings called Wilson lines helps in generating precise predictions at the LHC. This thesis concerns their properties using approximation methods.
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author
Svensson, Viktor LU
supervisor
organization
course
PHYM01 20151
year
type
H2 - Master's Degree (Two Years)
subject
keywords
Wilson lines
language
English
id
8057867
date added to LUP
2017-07-04 15:46:25
date last changed
2017-07-04 15:46:25
@misc{8057867,
  abstract     = {In this thesis, we consider basic properties of Wilson lines, with special attention devoted to the renormalization and exponentiation property. We describe the generating function approach to non-abelian exponentiation and perform the calculation of the correlator of two and three semi-infinite Wilson lines meeting at a single point to two-loop order. We consider Wilson lines on lightcone and regularize infrared divergences with a $\delta$-regulator. The three line calculation is done within the generating function approach. Using this calculation, we derive the cusp anomalous dimension and soft anomalous dimension at two-loop order. We discuss the problems arising from the use of the $\delta$-regulator for lightlike Wilson lines, and conclude that this regularization is inappropriate for higher-loop calculation. The obtained result is to be used for higher order analysis of the soft factor and can be used for application in multi-hadron factorization theorems, threshold resummation, etc.},
  author       = {Svensson, Viktor},
  keyword      = {Wilson lines},
  language     = {eng},
  note         = {Student Paper},
  title        = {Light-like Wilson line at next-to-next-to-leading order},
  year         = {2015},
}