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The two-loop perturbative correction to the (g − 2) μ HLbL at short distances

Bijnens, Johan LU orcid ; Hermansson-Truedsson, Nils LU orcid ; Laub, Laetitia and Rodríguez-Sánchez, Antonio LU (2021) In Journal of High Energy Physics 2021(4).
Abstract

The short-distance behaviour of the hadronic light-by-light (HLbL) contribution to (g − 2)μ has recently been studied by means of an operator product expansion in a background electromagnetic field. The leading term in this expansion has been shown to be given by the massless quark loop, and the non-perturbative corrections are numerically very suppressed. Here, we calculate the perturbative QCD correction to the massless quark loop. The correction is found to be fairly small compared to the quark loop as far as we study energy scales where the perturbative running for the QCD coupling is well-defined, i.e. for scales μ ≳ 1 GeV. This should allow to reduce the large systematic uncertainty associated to high-multiplicity... (More)

The short-distance behaviour of the hadronic light-by-light (HLbL) contribution to (g − 2)μ has recently been studied by means of an operator product expansion in a background electromagnetic field. The leading term in this expansion has been shown to be given by the massless quark loop, and the non-perturbative corrections are numerically very suppressed. Here, we calculate the perturbative QCD correction to the massless quark loop. The correction is found to be fairly small compared to the quark loop as far as we study energy scales where the perturbative running for the QCD coupling is well-defined, i.e. for scales μ ≳ 1 GeV. This should allow to reduce the large systematic uncertainty associated to high-multiplicity hadronic states.

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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Perturbative QCD, Precision QED
in
Journal of High Energy Physics
volume
2021
issue
4
article number
240
publisher
Springer
external identifiers
  • scopus:85104939339
ISSN
1029-8479
DOI
10.1007/JHEP04(2021)240
language
English
LU publication?
yes
id
73fd8e0c-b640-4d3a-9ec8-183cf209be8a
date added to LUP
2021-05-17 13:48:04
date last changed
2023-01-01 06:09:13
@article{73fd8e0c-b640-4d3a-9ec8-183cf209be8a,
  abstract     = {{<p>The short-distance behaviour of the hadronic light-by-light (HLbL) contribution to (g − 2)<sub>μ</sub> has recently been studied by means of an operator product expansion in a background electromagnetic field. The leading term in this expansion has been shown to be given by the massless quark loop, and the non-perturbative corrections are numerically very suppressed. Here, we calculate the perturbative QCD correction to the massless quark loop. The correction is found to be fairly small compared to the quark loop as far as we study energy scales where the perturbative running for the QCD coupling is well-defined, i.e. for scales μ ≳ 1 GeV. This should allow to reduce the large systematic uncertainty associated to high-multiplicity hadronic states.</p>}},
  author       = {{Bijnens, Johan and Hermansson-Truedsson, Nils and Laub, Laetitia and Rodríguez-Sánchez, Antonio}},
  issn         = {{1029-8479}},
  keywords     = {{Perturbative QCD; Precision QED}},
  language     = {{eng}},
  month        = {{04}},
  number       = {{4}},
  publisher    = {{Springer}},
  series       = {{Journal of High Energy Physics}},
  title        = {{The two-loop perturbative correction to the (g − 2)<sub> μ</sub> HLbL at short distances}},
  url          = {{http://dx.doi.org/10.1007/JHEP04(2021)240}},
  doi          = {{10.1007/JHEP04(2021)240}},
  volume       = {{2021}},
  year         = {{2021}},
}