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Transverse vetoes with rapidity cutoff in SCET

Publication ,  Journal Article
Hornig, A; Kang, D; Makris, Y; Mehen, T
Published in: Journal of High Energy Physics
December 1, 2017

We consider di-jet production in hadron collisions where a transverse veto is imposed on radiation for (pseudo-)rapidities in the central region only, where this central region is defined with rapidity cutoff. For the case where the transverse measurement (e.g., transverse energy or min pT for jet veto) is parametrically larger relative to the typical transverse momentum beyond the cutoff, the cross section is insensitive to the cutoff parameter and is factorized in terms of collinear and soft degrees of freedom. The virtuality for these degrees of freedom is set by the transverse measurement, as in typical transverse-momentum dependent observables such as Drell-Yan, Higgs production, and the event shape broadening. This paper focuses on the other region, where the typical transverse momentum below and beyond the cutoff is of similar size. In this region the rapidity cutoff further resolves soft radiation into (u)soft and soft-collinear radiation with different rapidities but identical virtuality. This gives rise to rapidity logarithms of the rapidity cutoff parameter which we resum using renormalization group methods. We factorize the cross section in this region in terms of soft and collinear functions in the framework of soft-collinear effective theory, then further refactorize the soft function as a convolution of the (u)soft and soft-collinear functions. All these functions are calculated at one-loop order. As an example, we calculate a differential cross section for a specific partonic channel, qq′ → qq′, for the jet shape angularities and show that the refactorization allows us to resum the rapidity logarithms and significantly reduce theoretical uncertainties in the jet shape spectrum.

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Published In

Journal of High Energy Physics

DOI

EISSN

1029-8479

ISSN

1126-6708

Publication Date

December 1, 2017

Volume

2017

Issue

12

Related Subject Headings

  • Nuclear & Particles Physics
  • 5107 Particle and high energy physics
  • 5106 Nuclear and plasma physics
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0105 Mathematical Physics
 

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Hornig, A., Kang, D., Makris, Y., & Mehen, T. (2017). Transverse vetoes with rapidity cutoff in SCET. Journal of High Energy Physics, 2017(12). https://doi.org/10.1007/JHEP12(2017)043
Hornig, A., D. Kang, Y. Makris, and T. Mehen. “Transverse vetoes with rapidity cutoff in SCET.” Journal of High Energy Physics 2017, no. 12 (December 1, 2017). https://doi.org/10.1007/JHEP12(2017)043.
Hornig A, Kang D, Makris Y, Mehen T. Transverse vetoes with rapidity cutoff in SCET. Journal of High Energy Physics. 2017 Dec 1;2017(12).
Hornig, A., et al. “Transverse vetoes with rapidity cutoff in SCET.” Journal of High Energy Physics, vol. 2017, no. 12, Dec. 2017. Scopus, doi:10.1007/JHEP12(2017)043.
Hornig A, Kang D, Makris Y, Mehen T. Transverse vetoes with rapidity cutoff in SCET. Journal of High Energy Physics. 2017 Dec 1;2017(12).
Journal cover image

Published In

Journal of High Energy Physics

DOI

EISSN

1029-8479

ISSN

1126-6708

Publication Date

December 1, 2017

Volume

2017

Issue

12

Related Subject Headings

  • Nuclear & Particles Physics
  • 5107 Particle and high energy physics
  • 5106 Nuclear and plasma physics
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0105 Mathematical Physics