6533b7cefe1ef96bd1257b1f
RESEARCH PRODUCT
The two-loop soft function for heavy quark pair production at future linear colliders
Andreas Von ManteuffelRobert M. SchabingerHua Xing Zhusubject
QuarkPhysicsNuclear and High Energy PhysicsParticle physicsWilson loop010308 nuclear & particles physicsHigh Energy Physics::PhenomenologyOrder (ring theory)FOS: Physical sciences01 natural sciencesBottom quarkMatrix (mathematics)Dimensional regularizationHigh Energy Physics - PhenomenologyPair productionHigh Energy Physics - Phenomenology (hep-ph)0103 physical sciencesConnection (algebraic framework)010306 general physicsdescription
We report on the calculation of the threshold soft function for heavy quark pair production in e+ e- annihilation at two-loop order. Our main result is a generalization of the familiar Drell-Yan threshold soft function to the case of non-zero primary quark mass. We set up a framework based on the method of differential equations which allows for the straightforward calculation of the bare soft function to arbitrarily high orders in the dimensional regularization parameter. Remarkably, we find that we can obtain the bare two-loop Drell-Yan soft function from the heavy quark soft function to the order in epsilon required for a two-loop calculation by making simple replacements. We expect that our results will be of use, both as an important input for precision physics calculations at linear colliders and, more formally, as a first step towards a better understanding of the connection between vacuum matrix elements of massive soft Wilson lines and vacuum matrix elements of massless soft Wilson lines.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-08-21 |