Resummation of Heavy Jet Mass and Comparison to LEP Data
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CitationChen, Yang-Ting and Matthew D. Schwartz. 2010. Resummation of heavy jet mass and comparison to LEP data. Journal of High Energy Physics 2010(8): 1-34.
AbstractThe heavy jet mass distribution in e\(^+\)e\(^−\) collisions is computed to next-to-next-to-next-to leading logarithmic (N\(^3\)LL) and next-to-next-to leading ﬁxed order accuracy (NNLO). The singular terms predicted from the resummed distribution are conﬁrmed by the ﬁxed order distributions allowing a precise extraction of the unknown soft function coefﬁcients. A number of quantitative and qualitative comparisons of heavy jet mass and the related thrust distribution are made. From ﬁtting to ALEPH data, a value of αs is extracted, α\(_s\)(m\(_Z\) ) = 0.1220 ± 0.0031, which is larger than, but not in conﬂict with, the corresponding value for thrust. A weighted average of the two produces α\(_s\)(m\(_Z\) ) = 0.1193 ± 0.0027, consistent with the world average. A study of the non-perturbative corrections shows that the ﬂat direction observed for thrust between α\(_s\) and a simple non-perturbative shape parameter is not lifted in combining with heavy jet mass. The Monte Carlo treatment of hadronization gives qualitatively diﬀerent results for thrust and heavy jet mass, and we conclude that it cannot be trusted to add power corrections to the event shape distributions at this accuracy. Whether a more sophisticated eﬀective ﬁeld theory approach to power corrections can reconcile the thrust and heavy jet mass distributions remains an open question.
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