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Main Authors: Kim, Chul, Kwon, Taehyun
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2405.02840
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author Kim, Chul
Kwon, Taehyun
author_facet Kim, Chul
Kwon, Taehyun
contents In this paper, using soft-collinear effective theory we study the invariant mass distribution for dijet production in $e^+e^-$-annihilation. Near threshold, where the dijet takes most of the energy, there arise the large threshold logarithms, which are sensitive to soft gluon radiations. To systematically resum the logarithms, we factorize the scattering cross section into the hard, the collinear, and the soft parts. And we additionally factorize the original soft part into the global soft function and the two collinear-soft functions, where the latter can be combined with the collinear parts to form the fragmentation functions to jet (FFJs). The factorization theorem derived here can be easily applicable to other processes near threshold. Using the factorized result, we show the resummed result for the dijet invariant mass to the accuracy of next-to-leading logarithms. We have also obtained the result in the case of the heavy quark dijet and compared it with the case of the light quark.
format Preprint
id arxiv_https___arxiv_org_abs_2405_02840
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Dijet invariant mass distribution near threshold
Kim, Chul
Kwon, Taehyun
High Energy Physics - Phenomenology
In this paper, using soft-collinear effective theory we study the invariant mass distribution for dijet production in $e^+e^-$-annihilation. Near threshold, where the dijet takes most of the energy, there arise the large threshold logarithms, which are sensitive to soft gluon radiations. To systematically resum the logarithms, we factorize the scattering cross section into the hard, the collinear, and the soft parts. And we additionally factorize the original soft part into the global soft function and the two collinear-soft functions, where the latter can be combined with the collinear parts to form the fragmentation functions to jet (FFJs). The factorization theorem derived here can be easily applicable to other processes near threshold. Using the factorized result, we show the resummed result for the dijet invariant mass to the accuracy of next-to-leading logarithms. We have also obtained the result in the case of the heavy quark dijet and compared it with the case of the light quark.
title Dijet invariant mass distribution near threshold
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2405.02840