Lattice QCD Calculation of <math display="inline"><msup><mi>π</mi><mn>0</mn></msup><mo stretchy="false">→</mo><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>-</mo></msup></math> Decay - INSPIRE

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Lattice QCD Calculation of $π^{0} \to e^{+} e^{-}$ Decay

Norman Christ
(
- Columbia U.
)
,
Xu Feng
(
- CICQM, Beijing and
- Peking U.
)
,
Luchang Jin
(
- Connecticut U.
)
,
Cheng Tu
(
- Connecticut U.
)
,
Yidi Zhao
(
- Columbia U.
)

Aug 7, 2022

6 pages

Published in:

Phys.Rev.Lett. 130 (2023) 19, 191901

Published: May 12, 2023

e-Print:

2208.03834 [hep-lat]

DOI:

10.1103/PhysRevLett.130.191901 (publication)

View in:

ADS Abstract Service

reference search24 citations

Citations per year

Abstract: (APS)

We extend the application of lattice QCD to the two-photon-mediated, order

α^{2}

rare decay

π^{0} \to e^{+} e^{-}

. By combining Minkowski- and Euclidean-space methods we are able to calculate the complex amplitude describing this decay directly from the underlying theories (QCD and QED) which predict this decay. The leading connected and disconnected diagrams are considered; a continuum limit is evaluated and the systematic errors are estimated. We find

Re A = 18.60 (1.19) (1.05) eV

,

Im A = 32.59 (1.50) (1.65) eV

, a more accurate value for the ratio

(Re A / Im A) = 0.571 (10) (4)

, and a result for the partial width

Γ (π^{0} \to γ γ) = 6.60 (0.61) (0.67) eV

. Here the first errors are statistical and the second systematic. This calculation is the first step in determining the more challenging, two-photon-mediated decay amplitude that contributes to the rare decay

K \to μ^{+} μ^{-}

.

rare pion decay
lattice QCD
rare decay
lattice field theory
quantum chromodynamics
branching ratio
statistical
continuum limit
quantum electrodynamics

References(18)

Figures(8)

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[15]

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)
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Hidenori Fukaya
(
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)
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Shoji Hashimoto
(
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(
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(
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Andreas Nyffeler
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)

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•
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•
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