Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-07-31
Phys.Rev. D51 (1995) 4924-4933
Physics
High Energy Physics
High Energy Physics - Phenomenology
Minor changes made
Scientific paper
10.1103/PhysRevD.51.4924
We investigate the high-order behavior of perturbative matching conditions in effective field theories. These series are typically badly divergent, and are not Borel summable due to infrared and ultraviolet renormalons which introduce ambiguities in defining the sum of the series. We argue that, when treated consistently, there is no physical significance to these ambiguities. Although nonperturbative matrix elements and matching conditions are in general ambiguous, the ambiguity in any physical observable is always higher order in $1/M$ than the theory has been defined. We discuss the implications for the recently noticed infrared renormalon in the pole mass of a heavy quark. We show that a ratio of form factors in exclusive $\Lambda_b$ decays (which is related to the pole mass) is free from renormalon ambiguities regardless of the mass used as the expansion parameter of HQET. The renormalon ambiguities also cancel in inclusive heavy hadron decays. Finally, we demonstrate the cancellation of renormalons in a four-Fermi effective theory obtained by integrating out a heavy colored scalar.
Luke Michael
Savage Martin J.
~Manohar Aneesh V.
No associations
LandOfFree
Renormalons in Effective Field Theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Renormalons in Effective Field Theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Renormalons in Effective Field Theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-22699