37 research outputs found
Fuchsia and Master Integrals for Energy-Energy Correlations at NLO in QCD
In this talk we discuss some aspects of the analytical calculation of energy
correlations in electron-positron annihilation at a next-to-leading order in
QCD. Our primary focus is on the most difficult task: the calculation of master
integrals for real-emission contributions, which are functions of two
dimensionless variables and the dimensional regulator. We use a method of
differential equations and their so-called epsilon-form which is constructed
with the help of the Fuchsia program based on Lee's algorithm.Comment: 11 pages, 1 figure. Presented at Matter to the Deepest Conference in
Podlesice (Poland) 3-8 Sep 2017 and at RADCOR Conference in St. Gilgen
(Austria) 24-29 Sep 201
Calculation of QCD NLO Splitting Functions in the light-cone gauge: a new regularization prescription
We report on the progress in calculating NLO DGLAP splitting functions for
using the New Principal Value prescription, which is a modification of
the standard Principal Value approach proposed by Curci, Furmanski and
Petronzio in 1980. The new prescription reproduces the standard results on the
inclusive (integrated) level, but simplifies individual contributions and
restricts the cancellations between real and virtual diagrams which makes it
useful for Monte Carlo simulations.Comment: Presented by O.Gituliar at XX Cracow Epiphany Conference, Cracow
(Poland), 8--10 Jan 201
Evolution kernels for parton shower Monte Carlo
We report on re-calculation of the next-to-leading order DGLAP evolution
kernels performed in a scheme suited for Monte Carlo simulations of parton
cascades (parton showers).Comment: Presented at Cracow Epiphany Conference, 8-10 January 201
Fully NLO Parton Shower in QCD
The project of constructing a complete NLO-level Parton Shower Monte Carlo
for the QCD processes developed in IFJ PAN in Krakow is reviewed. Four issues
are discussed: (1) the extension of the standard inclusive collinear
factorization into a new, fully exclusive scheme; (2) reconstruction of the LO
Parton Shower in the new scheme; (3) inclusion of the exclusive NLO corrections
into the hard process and (4) inclusion of the exclusive NLO corrections into
the evolution (ladder) part.Comment: Contribution to the XXXV International Conference of Theoretical
Physics "Matter to the Deepest", Ustron, Poland, September 12-18, 201
Large scale analytic calculations in quantum field theories
We present a survey on the mathematical structure of zero- and single scale
quantities and the associated calculation methods and function spaces in higher
order perturbative calculations in relativistic renormalizable quantum field
theories.Comment: 25 pages Latex, 1 style fil