1. General form of s, t, and u symmetric polynomials and heavy quarkonium physics.
- Author
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Yan-Qing Ma
- Subjects
- *
POLYNOMIALS , *QUARKONIUMS , *COLLIDERS (Nuclear physics) , *SYMMETRY (Physics) , *HADRONS , *DIFFERENTIAL cross sections - Abstract
Induced by three gluons symmetry, Mandelstam variables s, t, u symmetric expressions are widely involved in collider physics, especially in heavy quarkonium physics. In this work we study the general form of s, t, u symmetric polynomials, and find that they can be expressed as polynomials where the symmetry is manifest. The general form is then used to simplify expressions which asymptotically reduces the length of original expression to one-sixth. Based on the general form, we reproduce the exact differential cross section of J/? hadron production at leading order in ν2 up to four unknown constant numbers by simple analysis. Furthermore, we prove that differential cross section at higher order in ν2 is proportional to that at leading order. This proof explains the proportion relation at next-to-leading order in ν2 found in previous work and generalizes it to all order. [ABSTRACT FROM AUTHOR]
- Published
- 2013
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