Resummation of non-global QCD observables

By M. Dasgupta, G. Salam. 2001

270 citations recorded by the source corpus.

Abstract We discuss issues related to the resummation of non-global observables in QCD, those that are sensitive to radiation in only a part of phase space. Examples of such observables are certain single-hemisphere event shapes in e + e − and DIS. Compared to global observables (those sensitive to all emissions, e.g., the e + e − thrust) a new class of single-logarithmic terms arises. These have been neglected in recent calculations in the literature. For a whole set of single hemisphere e + e − and DIS event shapes, we analytically evaluate the first such term, at order α s 2 , and give numerical results for the resummation of these terms in the large- N C limit.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d613d2d633ba9ac0b1e6138ff03e8f00a25323e4

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In Nuclear and High Energy Physics

1. Cms Collaboration
2. A. Larkoski
3. G. Salam
4. Jesse Thaler
5. G. Soyez
6. W. Waalewijn
7. Atlas Collaboration
8. I. Moult

Citations in the corpus

• The anti-$k_t$ jet clustering algorithm (2008, background): “Examples are the jet-mass distribution [9] and energy flow distributions in restricted regions [10 – 12].”
• Resummed event shapes at hadron - hadron colliders (2004, background): “J H E P 0 8 ( 2 0 0 4 ) 0 6 2 event shapes [37], i.”
• Factorization at the LHC: From PDFs to Initial State Jets (Ph.D. thesis) (2009, background): “ for hadron colliders have been classied and studied in Refs. [27, 28], and are referred to as global event shapes. (Issues related to non-global observables have been discussed for example in Refs. [20, 46, 82, 97].) 1Note that the proof of factorization for the partonic cross section in the parton”
• Jet shapes and jet algorithms in SCET (2010, methodology): “) These issues are related to some types of “non-global” logarithms described by [46, 56, 57, 58] that spoil the simple characterization of NLL accuracy.”
• The Catchment Area of Jets (2008, background): “One should of course bear in mind that the multi-particle structure of the hadron level is such that a single-gluon result cannot contain all the relevant physics — this implies that one should, in future work, examine multi-soft gluon radiation as well, perhaps along the lines of the calculation of”
• Accounting for coherence in interjet Et flow (2002, methodology): “The second source of complexity is the geometry of multi-gluon events, which we treat using a Monte Carlo algorithm like that discussed in [6], which essentially models a tree-like sequence where a colour dipole emits a gluon, thus branching into two dipoles,”
• Towards jetography (2009, background): “(see [133] for more detailed analytic expressions, or [134, 136] for corresponding resummed results in e+e−collisions) and the logarithm can in part compensate the smallness of αs, especially at larger pt.”
• Factorization at the LHC: From parton distribution functions to initial state jets (2010, unknown): “[20, 46, 82, 97].”