Subleading power corrections for $N$-jettiness subtractions

Journal Article · Tue Apr 18 00:00:00 EDT 2017 · Physical Review. D.

DOI:https://doi.org/10.1103/physrevd.95.074023· OSTI ID:1505608

Moult, Ian ^[1]; Rothen, Lorena ^[2]; Stewart, Iain W. ^[3]; Tackmann, Frank J. ^[2]; Zhu, Hua Xing ^[3]

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1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
2. Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
3. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Here, the $N$-jettiness observable T_N provides a way of describing the leading singular behavior of the $N$-jet cross section in the τ = T _$N$ = Q → 0 limit, where Q is a hard interaction scale. We consider subleading power corrections in the τ << 1 expansion, and employ soft-collinear effective theory to obtain analytic results for the dominant α_sτlnτ and α²_sτln³τ subleading terms for thrust in e⁺e^– collisions and 0-jettiness for q¯q-initiated Drell-Yan–like processes at hadron colliders. These results can be used to significantly improve the numerical accuracy and stability of the $N$-jettiness subtraction technique for performing fixed order calculations at next-to-leading order and next-to-next-to-leading order. They reduce the size of missing power corrections in the subtractions by an order of magnitude. We also point out that the precise definition of $N$-jettiness has an important impact on the size of the power corrections and thus the numerical accuracy of the subtractions. The sometimes employed definition of $N$-jettiness in the hadronic center-ofmass frame suffers from power corrections that grow exponentially with rapidity, causing the power expansion to deteriorate away from central rapidity. This degradation does not occur for the original $N$-jettiness definition, which explicitly accounts for the boost of the Born process relative to the frame of the hadronic collision, and has a well-behaved power expansion throughout the entire phase space. Integrated over rapidity, using this $N$-jettiness definition in the subtractions yields another order of magnitude improvement compared to employing the hadronic-frame definition.

• Research Organization: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Univ. of California, Berkeley, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: SC0011090; AC02-05CH1123; TA 867/1-1; 327942; AC02-05CH11231
• OSTI ID: 1505608
• Alternate ID(s): OSTI ID: 1352109
• Journal Information: Physical Review. D., Vol. 95, Issue 7; ISSN 2470-0010
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

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