Back to Search
Start Over
Nonglobal logarithms at three loops, four loops, five loops, and beyond
- Source :
- Schwartz, Matthew D., and Hua Xing Zhu. 2014. “Nonglobal Logarithms at Three Loops, Four Loops, Five Loops, and Beyond.” Physical Review D 90 (6) (September 3). doi:10.1103/physrevd.90.065004.
- Publication Year :
- 2014
- Publisher :
- American Physical Society (APS), 2014.
-
Abstract
- We calculate the coefficients of the leading non-global logarithms for the hemispheremass distribution analytically at 3, 4, and 5 loops at large Nc. We confirm that the integrand derived with the strong-energy-ordering approximation and fixed-order iteration of the Banfi-Marchesini-Syme (BMS) equation agree. Our calculation exploits a hidden PSL(2, R) symmetry associated with the jet directions, apparent in the BMS equation after a stereographic projection to the Poincar´e disk. The required integrals have an iterated form, leading to functions of uniform transcendentality. This allows us to extract the coefficients, and some functional dependence on the jet directions, by computing the symbols and coproducts of appropriate expressions involving classical and Goncharov polylogarithms. Convergence of the series to a numerical solution of the BMS equation is also discussed.<br />Physics
Details
- Language :
- English
- ISSN :
- 15507998
- Database :
- Digital Access to Scholarship at Harvard (DASH)
- Journal :
- Schwartz, Matthew D., and Hua Xing Zhu. 2014. “Nonglobal Logarithms at Three Loops, Four Loops, Five Loops, and Beyond.” Physical Review D 90 (6) (September 3). doi:10.1103/physrevd.90.065004.
- Publication Type :
- Academic Journal
- Accession number :
- edshld.1.29374834
- Document Type :
- Journal Article
- Full Text :
- https://doi.org/10.1103/PhysRevD.90.065004