Collinear divergences and factorization in perturbative QCD

Factorization;Quantum Chromodynamics;Perturbation Theory;Collinear Divergences;Collider Physics

Putman, Robert E.

关键词: Factorization;    Quantum Chromodynamics;    Perturbation Theory;    Collinear Divergences;    Collider Physics;   

Others  :  https://www.ideals.illinois.edu/bitstream/handle/2142/16259/1_Putman_Robert.pdf?sequence=2&isAllowed=y

美国|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

The issue of choosing a factorization scale in perturbative QCD is examined in detail. First a previouslydefined factorization scheme called the collinear scheme is implemented on Higgs production by bottom quarkfusion, and then extended to Higgs production by gluon fusion. After this the issue of gauge invariance in thiscollinear scheme is addressed and it is realized that the collinear scheme fails to be gauge invariant. A moregeneral analysis of collinear divergences and the phase space integrated over to calculate cross sections isperformed and a new scheme called the generalized collinear scheme is presented for factorization of radiatedgluons. Virtual corrections are considered and a possible method of dealing with them is suggested. Thisgeneralized collinear scheme is then tested on three 2 → 1 processes with encouraging results.