Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Massive Event-Shape Distributions at N$^2$LL   In a recent paper we have shown how to optimally compute the differential and
cumulative cross sections for massive event-shapes at $\mathcal{O}(\alpha_s)$
in full QCD. In the present article we complete our study by obtaining resummed
expressions for non-recoil-sensitive observables to N$^2$LL +
$\mathcal{O}(\alpha_s)$ precision. Our results can be used for thrust, heavy
jet mass and C-parameter distributions in any massive scheme, and are easily
generalized to angularities and other event shapes. We show that the so-called
E- and P-schemes coincide in the collinear limit, and compute the missing
pieces to achieve this level of accuracy: the P-scheme massive jet function in
Soft-Collinear Effective Theory (SCET) and boosted Heavy Quark Effective Theory
(bHQET). The resummed expression is subsequently matched into fixed-order QCD
to extend its validity towards the tail and far-tail of the distribution. The
computation of the jet function cannot be cast as the discontinuity of a
forward-scattering matrix element, and involves phase space integrals in
$d=4-2\varepsilon$ dimensions. We show how to analytically solve the
renormalization group equation for the P-scheme SCET jet function, which is
significantly more complicated than its 2-jettiness counterpart, and derive
rapidly-convergent expansions in various kinematic regimes. Finally, we perform
a numerical study to pin down when mass effects become more relevant.

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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: math
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph