$k_T$ and threshold resummations
| dc.creator | Li, Hsiang-nan | |
| dc.date | 1998-11-16 | |
| dc.date | 1999-07-08 | |
| dc.date.accessioned | 2026-07-07T04:05:45Z | |
| dc.date.available | 2026-07-07T04:05:45Z | |
| dc.description | We demonstrate that both the $k_T$ and threshold resummations can be performed in the Collins-Soper resummation formalism by evaluating soft gluon emissions with infrared cutoffs for the longitudinal and transverse loop momenta, respectively. The reason the $k_T$ resummation for a parton distribution function leads to suppression in the large $b$ region, $b$ being the conjugate variable of parton transverse momentum $k_T$, and the threshold resummation leads to enhancement in the large $N$ limit, $N$ being the moment of a distribution function, is a consequence of opposite directions of double-logarithm evolutions. The $k_T$ and threshold resummations for an energetic final-state jet give suppression. The switch of the threshold resummation from enhancement to suppression is attributed to a nonvanishing jet invariant mass. In the same framework we derive a unification of the $k_T$ and threshold resummations for a parton distribution function by requiring infrared cutoffs for both longitudinal and transverse loop momenta. This unified resummation exhibits suppression at large $b$, similar to the $k_T$ resummation, and exhibits enhancement at small $b$, similar to the threshold resummation. | |
| dc.description | 25 pages in a latex file, 1 figure in a postscript file, revised version to appear in Chin. J. Phys | |
| dc.identifier | https://arxiv.org/abs/hep-ph/9811340 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/9811340 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/48515 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | $k_T$ and threshold resummations | |
| dc.type | text |