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Next-to-next-leading order correction to 3-jet rate and event-shape distribution

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Abstract.

The hadronic events from the e  +  e  −  annihilation data at the centre-of-mass energies ranging from 60 to 197 GeV were studied. The AMY and OPAL Collaborations offered a unique opportunity to test QCD by measuring the energy dependence of different observables. The coupling constant, α s, was measured by two different methods: first by employing the three-jet observables. Combining all the data, the value of as at next-to-next leading order (NNLO) was determined to be 0.117 ± 0.004(hard) ± 0.006(theo). Secondly, from the event-shape distributions, the strong coupling constant, α s, was extracted at NNLO and it’s evaluation was tested with the energy scale. The results were consistent with the running of α s, expected from QCD predictions. Averaging over different observables, α s was determined to be 0.115 ± 0.007(hard) ± 0.003(theo).

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Authors and Affiliations

  1. Department of Physics, Ferdowsi University of Mashhad, Mashhad 91775-1436, Khorasane, Razavi, Iran

    MOHAMMAD EBRAHIM ZOMORRODIAN, ALIREZA SEPEHRI, TOORAJ GHAFFARY & PARVIN ESLAMI

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  1. MOHAMMAD EBRAHIM ZOMORRODIAN
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  2. ALIREZA SEPEHRI
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  3. TOORAJ GHAFFARY
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Correspondence to MOHAMMAD EBRAHIM ZOMORRODIAN.

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ZOMORRODIAN, M.E., SEPEHRI, A., GHAFFARY, T. et al. Next-to-next-leading order correction to 3-jet rate and event-shape distribution. Pramana - J Phys 76, 93–107 (2011). https://doi.org/10.1007/s12043-011-0008-4

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