Light-like Wilson line at next-to-next-to-leading order
(2015) PHYM01 20151Department of Physics
Theoretical Particle Physics - Has been reorganised
- 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.
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/student-papers/record/8057867
- author
- Svensson, Viktor LU
- supervisor
- organization
- course
- PHYM01 20151
- year
- 2015
- 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}}, language = {{eng}}, note = {{Student Paper}}, title = {{Light-like Wilson line at next-to-next-to-leading order}}, year = {{2015}}, }