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Reparameterization invariance for collinear operators

Publication ,  Journal Article
Manohar, AV; Mehen, T; Pirjol, D; Stewart, IW
Published in: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
July 11, 2002

We discuss restrictions on operators in the soft-collinear effective theory (SCET) which follow from the ambiguity in the decomposition of collinear momenta and the freedom in the choice of light-like basis vectors n and n̄. Invariance of SCET under small changes in n and/or n̄ implies a symmetry of the effective theory that constrains the form of allowed operators with collinear fields. The restrictions occur at a given order in the power counting as well as between different orders. As an example, we present the complete set of higher order operators that are related to the collinear quark kinetic term. ©2002 Elsevier Science B.V. All rights reserved.

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Published In

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

DOI

ISSN

0370-2693

Publication Date

July 11, 2002

Volume

539

Issue

1-2

Start / End Page

59 / 66

Related Subject Headings

  • Nuclear & Particles Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0201 Astronomical and Space Sciences
  • 0105 Mathematical Physics
 

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Manohar, A. V., Mehen, T., Pirjol, D., & Stewart, I. W. (2002). Reparameterization invariance for collinear operators. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 539(1–2), 59–66. https://doi.org/10.1016/S0370-2693(02)02029-4
Manohar, A. V., T. Mehen, D. Pirjol, and I. W. Stewart. “Reparameterization invariance for collinear operators.” Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics 539, no. 1–2 (July 11, 2002): 59–66. https://doi.org/10.1016/S0370-2693(02)02029-4.
Manohar AV, Mehen T, Pirjol D, Stewart IW. Reparameterization invariance for collinear operators. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2002 Jul 11;539(1–2):59–66.
Manohar, A. V., et al. “Reparameterization invariance for collinear operators.” Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 539, no. 1–2, July 2002, pp. 59–66. Scopus, doi:10.1016/S0370-2693(02)02029-4.
Manohar AV, Mehen T, Pirjol D, Stewart IW. Reparameterization invariance for collinear operators. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2002 Jul 11;539(1–2):59–66.
Journal cover image

Published In

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

DOI

ISSN

0370-2693

Publication Date

July 11, 2002

Volume

539

Issue

1-2

Start / End Page

59 / 66

Related Subject Headings

  • Nuclear & Particles Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0201 Astronomical and Space Sciences
  • 0105 Mathematical Physics