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Factorization of the Jet Mass Distribution in the Small R Limit

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Abstract

We derive a factorization theorem for the jet mass distribution with a given \(p_T^J\) for the inclusive production, where \(p_T^J\) is a large jet transverse momentum. Considering the small jet radius limit (R ≪ 1), we factorize the scattering cross section into a partonic cross section, the fragmentation function to a jet, and the jet mass distribution function. The decoupled jet mass distributions for quark and gluon jets are well-normalized and scale invariant, and they can be extracted from the ratio of two scattering cross sections such as \(d\sigma/(dp_T^JdM_J^2)\) and \(d\sigma/dp_T^J\). When \(M_J \sim p_T^JR\), the perturbative series expansion for the jet mass distributions works well. As the jet mass becomes small, large logarithms of \(M_J/(p_T^JR)\) appear, and they can be systematically resummed through a more refined factorization theorem for the jet mass distribution.

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Authors and Affiliations

  1. Department of Physics, Wayne State University, Detroit, MI, 48202, USA

    Ahmad Idilbi

  2. Institute of Convergence Fundamental Studies and School of Liberal Arts, Seoul National University of Science and Technology, Seoul, 01811, Korea

    Chul Kim

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  1. Ahmad Idilbi
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  2. Chul Kim
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Correspondence to Ahmad Idilbi.

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Idilbi, A., Kim, C. Factorization of the Jet Mass Distribution in the Small R Limit. J. Korean Phys. Soc. 73, 1230–1239 (2018). https://doi.org/10.3938/jkps.73.1230

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