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Null radiation zone at the LHC

Kaoru Hagiwara and Toshifumi Yamada
Phys. Rev. D 87, 014021 – Published 28 January 2013

Abstract

The null radiation zone theorem states that, when special kinematical conditions are satisfied, all the helicity amplitudes of a parton-level subprocess where a vector current is emitted vanish due to destructive interference among different diagrams. We study the manifestation of the theorem in pp collisions at the s=8TeV LHC. The theorem predicts that the cross section for ppjjγ events is suppressed when the transverse momenta of the two jets are similar and when the rapidity difference between the photon and the cluster of the jets is nearly zero, because the uuuuγ subprocess, which dominates in events with large jjγ invariant mass, has strong destructive interference in this region. We confirm this prediction by the calculation with MadGraph 5, and show that the suppression on the ppjjγ cross section is observable at the LHC.

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  • Received 3 October 2012

DOI:https://doi.org/10.1103/PhysRevD.87.014021

© 2013 American Physical Society

Authors & Affiliations

Kaoru Hagiwara1 and Toshifumi Yamada2

  • 1KEK Theory Center and SOKENDAI, 1-1 Oho, Tsukuba, Ibaraki 305-0801, Japan
  • 2Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan

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Vol. 87, Iss. 1 — 1 January 2013

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Images

  • Figure 1
    Figure 1
    Feynman diagrams for a subprocess qqqqγ (q, q=u, d). When q=q, anti-symmetrization of the final state quarks should be performed.Reuse & Permissions
  • Figure 2
    Figure 2
    (Left) The differential cross sections, dσ/dΔpT(ΔpT=|pT1pT2|), for the uuuuγ subprocess in pp collisions at s=8TeV with the cut conditions (a–d). The interference terms between the left two and the right two diagrams of Fig. 1 are included for the lower red line, and are dropped for the lower-middle green line. Also shown are the differential cross sections for the uu¯uu¯γ subprocess in pp¯ collisions at s=8TeV with the interference terms included (upper, blue), and dropped (upper-middle, cyan). (Right) The same as the left graph for the uuuuγ contribution, but the requirement (d) is changed to Δy<2.0 (d).Reuse & Permissions
  • Figure 3
    Figure 3
    The differential cross sections, dσ/ΔpT(ΔpT=|pT1pT2|), for the ppjjγ process at s=8TeV with the cut conditions (a–d) for the red (lower) and green (lower-middle) lines, and with the cut conditions (a–c, d) for the blue (upper-middle) and cyan (upper) lines. The interference terms between the left two and the right two diagrams of Fig. 1 are included for the red and blue lines, and are dropped for the green and cyan lines.Reuse & Permissions
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