Resumming double non-global logarithms in the evolution of a jet

Hatta, Y.; Iancu, E.; Mueller, A. H.; Triantafyllopoulos, D. N.

doi:10.1007/jhep02(2018)075

Title: Resumming double non-global logarithms in the evolution of a jet

Journal Article · Tue Feb 13 00:00:00 EST 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep02(2018)075· OSTI ID:1507421

Hatta, Y. ^[1]; Iancu, E. ^[2]; Mueller, A. H. ^[3]; Triantafyllopoulos, D. N. ^[4]

Kyoto Univ., Kyoto (Japan). Yukawa Inst. for Theoretical Physics
Univ. of Paris, Gif-sur-Yvette (France). Inst. de Physique Theorique
Columbia Univ., New York, NY (United States). Dept. of Physics
European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT), Villazzano (Italy); Fondazione Bruno Kessler, Villazzano (Italy)

We consider the Banfi-Marchesini-Smye (BMS) equation which resums ‘non-global’ energy logarithms in the QCD evolution of the energy lost by a pair of jets via soft radiation at large angles. We identify a new physical regime where, besides the energy logarithms, one has to also resum (anti)collinear logarithms. Such a regime occurs when the jets are highly collimated (boosted) and the relative angles between successive soft gluon emissions are strongly increasing. These anti-collinear emissions can violate the correct time-ordering for time-like cascades and result in large radiative corrections enhanced by double collinear logs, making the BMS evolution unstable beyond leading order. We isolate the first such a correction in a recent calculation of the BMS equation to next-to-leading order by Caron-Huot. To overcome this difficulty, we construct a ‘collinearly-improved’ version of the leading-order BMS equation which resums the double collinear logarithms to all orders. Our construction is inspired by a recent treatment of the Balitsky-Kovchegov (BK) equation for the high-energy evolution of a space-like wavefunction, where similar time-ordering issues occur. We show that the conformal mapping relating the leading-order BMS and BK equations correctly predicts the physical time-ordering, but it fails to predict the detailed structure of the collinear improvement.

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Research Organization:: Columbia Univ., New York, NY (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-92ER40699; ANR-16-CE31-0019-01

OSTI ID:: 1507421

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 2; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 11 works

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