LASS, the numerics

We summarize our efforts to create a numerical implementation of the Local Analytical Subtraction Scheme (LASS) for obtaining NNLO QCD predictions in electron-positron collisions. We focus on the regularization of double-real radiation contributions, which are typically the most computationally intensive part of NNLO calculations. We describe the structure of the subtraction terms in LASS and our approach to numerically validate them. Using arbitrary precision arithmetic, we demonstrate the proper convergence of individual subtraction terms, overlap removal terms, and spurious singularity cancellations in various singular limits. We show results for the specific case of three-jet production in e+e- collisions. Our results validate the correctness of both the LASS formalism and our numerical implementation, setting the stage for full NNLO calculations using this method.

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Publication Details

Published
2024-09-17
DOI
https://doi.org/10.22323/1.467.0079
Primary Topic
Inertial Sensor and Navigation
Type
article
Field-Weighted Citation Impact
0.00

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article

LASS, the numerics

S. Moch, Giuseppe Bevilacqua, Adam Kardos, Zoltan Laszlo Trocsanyi
Inertial Sensor and Navigation
article

LASS, the numerics

S. Moch, Giuseppe Bevilacqua, Adam Kardos, Zoltan Laszlo Trocsanyi
article en

Abstract

We summarize our efforts to create a numerical implementation of the Local Analytical Subtraction Scheme (LASS) for obtaining NNLO QCD predictions in electron-positron collisions. We focus on the regularization of double-real radiation contributions, which are typically the most computationally intensive part of NNLO calculations. We describe the structure of the subtraction terms in LASS and our approach to numerically validate them. Using arbitrary precision arithmetic, we demonstrate the proper convergence of individual subtraction terms, overlap removal terms, and spurious singularity cancellations in various singular limits. We show results for the specific case of three-jet production in e+e- collisions. Our results validate the correctness of both the LASS formalism and our numerical implementation, setting the stage for full NNLO calculations using this method.

Magyar Tudományos Akadémia, Hellenic Foundation for Research and Innovation, Innovációs és Technológiai Minisztérium, Nemzeti Kutatási, Fejlesztési és Innovaciós Alap
Openalex Percentile: Top 76%
Inertial Sensor and Navigation
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LASS, the numerics — S. Moch, Giuseppe Bevilacqua, et al. · (2024) | TGRS Research Map | TGRS