LEADING LOGARITHMS IN FIELD THEORY
Authors:
- 30 April 1999
- journal article
- research article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Modern Physics A
- Vol. 14 (11) , 1769-1788
Abstract
We consider the Sudakov form factor in effective theories and we show that one can derive correctly the double logarithms of the original, high-energy, theory. We show that in effective theories it is possible to separate explicitly soft and hard dynamics, these being two regimes related to velocity conserving and to velocity changing operators respectively. A new effective theory is sketched which extracts the leading collinear singularities of the full theory amplitudes. Finally, we show how all leading logarithmic effects in field theory can be obtained by means of simple effective theories, where they correspond to a renormalization effect.Keywords
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This publication has 13 references indexed in Scilit:
- A new formulation of the effective theory for heavy particlesNuclear Physics B, 1994
- Infrared factorization in inclusive B meson decaysPhysics Letters B, 1994
- Infrared factorization, Wilson lines and the heavy quark limitPhysics Letters B, 1992
- QCD basis for factorization in decays of heavy mesonsPhysics Letters B, 1991
- Heavy meson form factors from QCDNuclear Physics B, 1990
- An effective field theory for heavy quarks at low energiesPhysics Letters B, 1990
- The gluon form factor to higher orders: Gluon-gluon annihilation at small QtPhysics Letters B, 1988
- Leading logarithms of heavy quark masses in processes with light and heavy quarksPhysics Letters B, 1988
- Dimensional regularization techniques and their uses in calculating infrared safe weak decay processesNuclear Physics B, 1980
- Regularization and renormalization of gauge fieldsNuclear Physics B, 1972