Abstract
Results of the parton-model type in remormalizable field theories are extended to the case that transverse momenta are held fixed rather than taken large in the scaling limit. The Drell-Yan process is treated as an example. Parton distributions P(x,kT) and f(x) defined in terms of bilocal operators are used to obtain generalized operator-product expansions in any nongauge theory. At low transverse momentum the original Drell-Yan model with the addition of intrinsic transverse momentum described by P(x,kT) is proved to be valid. The relation between these operator-product expansions and the frequently used method of infrared subtractions is explained. The ultraviolet-divergent renormalization of f(x) is proved to be identical to the infrared divergence in the infrared method. A method to extend the results to gauge theories is proposed.
Original language | English (US) |
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Pages (from-to) | 2962-2978 |
Number of pages | 17 |
Journal | Physical Review D |
Volume | 21 |
Issue number | 10 |
DOIs | |
State | Published - 1980 |
All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)