Dijet invariant mass distribution near threshold

IF 0.8 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY
Chul Kim, Taehyun Kwon
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引用次数: 0

Abstract

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.

Abstract Image

临界点附近的 Dijet 不变质量分布
在本文中,我们利用软共线有效理论,研究了在(e^+e^-\)-反湮没中产生二射流的不变质量分布。在临界值附近,也就是二价子占据大部分能量的地方,会出现大的临界值对数,这对软胶子辐射很敏感。为了系统地重述对数,我们将散射截面因式分解为硬部分、共线部分和软部分。此外,我们还将原始的软部分因式分解为全局软函数和两个准线软函数,其中后者可以与准线部分相结合,形成到射流的碎片函数(FFJs)。这里得出的因子化定理可以很容易地应用于临界附近的其他过程。利用因子化结果,我们展示了二射流不变质量的重和结果,其精度达到了次导对数。我们还得到了重夸克二迁子的结果,并与轻夸克的结果进行了比较。
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来源期刊
Journal of the Korean Physical Society
Journal of the Korean Physical Society PHYSICS, MULTIDISCIPLINARY-
CiteScore
1.20
自引率
16.70%
发文量
276
审稿时长
5.5 months
期刊介绍: The Journal of the Korean Physical Society (JKPS) covers all fields of physics spanning from statistical physics and condensed matter physics to particle physics. The manuscript to be published in JKPS is required to hold the originality, significance, and recent completeness. The journal is composed of Full paper, Letters, and Brief sections. In addition, featured articles with outstanding results are selected by the Editorial board and introduced in the online version. For emphasis on aspect of international journal, several world-distinguished researchers join the Editorial board. High quality of papers may be express-published when it is recommended or requested.
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