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Heavy Quarkonium Production Phenomenology and Automation of One-Loop Scattering Amplitude Computations pp 21–36Cite as

HELAC-Onia

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Abstract

In this chapter, we will describe an automatic tree-level matrix elements and events generator for heavy quarkonium physics, which is dubbed as HELAC-Onia [1]. It will be used to do the heavy quarkonium phenomenological analysis in the following chapters. The package is already available on the Web page http://helac-phegas.web.cern.ch/helac-phegas. It is a first realization of automation for heavy quarkonium production at \(e^-e^+\) and pp, \(p\bar{p}\) collisions based on recursion relations. This chapter is organized as follows: In the first section, we will describe the theoretical framework for the realization of HELAC-Onia and then go to the details of HELAC-Onia in the next section.

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Notes

  1. 1.

    \(\lambda =\pm 1\) for a massless vector, whereas \(\lambda =\pm 1,0\) for a massive vector.

  2. 2.

    Note that, v is the relative velocity of the heavy quark pair.

  3. 3.

    In HELAC-Onia, we generalize the projectors in the case of the heavy quarks in different flavors that form a heavy quarkonium like \(B_c^{{\pm }}\).

  4. 4.

    The output file will be generated in the output directory.

  5. 5.

    “SDME” is an acronym for “spin-density matrix element”.

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Authors and Affiliations

  1. School of Physics, Peking University, Beijing, China

    Hua-Sheng Shao

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  1. Hua-Sheng Shao
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Correspondence to Hua-Sheng Shao .

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Shao, HS. (2016). HELAC-Onia. In: Heavy Quarkonium Production Phenomenology and Automation of One-Loop Scattering Amplitude Computations. Springer Theses. Springer, Singapore. https://doi.org/10.1007/978-981-10-1624-0_3

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