2021
DOI: 10.48550/arxiv.2112.14454
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Multi-Emission Kernels for Parton Branching Algorithms

Abstract: We introduce a general framework to construct multi-emission kernels for parton branching algorithms at the amplitude level and across different soft and collinear limits. We highlight the connection of kinematic parameterizations and recoil schemes to the underlying power counting, and discuss in detail how soft radiation can be partitioned in between different collinear configurations beyond the single-emission picture underpinning the traditional dipole and angular ordering approaches. Our work is a vital c… Show more

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Cited by 10 publications
(13 citation statements)
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References 33 publications
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“…A soft-collinear overlap removal technique was discussed in [742] and implemented in both SHERPA and PYTHIA. Computations of relevant splitting functions have been performed in [743], providing systematic power counting and highlighting the relation between recoil scheme, partitioning of soft radiation, and the leading power expansion. These computations can be applied to both probabilistic and amplitude-level shower algorithms.…”
Section: Fully Differential Higher-order Correctionsmentioning
confidence: 99%
“…A soft-collinear overlap removal technique was discussed in [742] and implemented in both SHERPA and PYTHIA. Computations of relevant splitting functions have been performed in [743], providing systematic power counting and highlighting the relation between recoil scheme, partitioning of soft radiation, and the leading power expansion. These computations can be applied to both probabilistic and amplitude-level shower algorithms.…”
Section: Fully Differential Higher-order Correctionsmentioning
confidence: 99%
“…This motivates more detailed studies comparing analytic calculations with real LHC data. There has recently been work on implementing triple collinear splitting functions into parton showers [163][164][165][166][167]. We believe that this is particularly interesting in light of the measurement of multi-particle correlators [30], and the recent improvements in the analytic studies of these observables.…”
Section: Qcd Celestial Data To Twist-8mentioning
confidence: 99%
“…One might hope [97] to have a parton shower based on parton splitting probabilities calculated at order α 2 s and beyond. There has been recent progress in this direction [98][99][100][101][102][103][104][105]. The theoretical issues that must be addressed are similar to the issues involved in designing the subtractions for a perturbative calculation of jet cross sections at next-to-next-to-leading order.…”
Section: Nlo Showermentioning
confidence: 99%