Kaon electromagnetic form factors in dispersion theory - INSPIRE

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Kaon electromagnetic form factors in dispersion theory

Dominik Stamen
(
- Bonn U. and
- Bonn U., HISKP
)
,
Deepti Hariharan
(
- Bonn U. and
- Bonn U., HISKP
)
,
Martin Hoferichter
(
- U. Bern, AEC
)
,
Bastian Kubis
(
- Bonn U. and
- Bonn U., HISKP
)
,
Peter Stoffer
(
- Zurich U. and
- PSI, Villigen
)

Feb 22, 2022

18 pages

Published in:

Eur.Phys.J.C 82 (2022) 5, 432

Published: May 11, 2022

e-Print:

2202.11106 [hep-ph]

DOI:

10.1140/epjc/s10052-022-10348-3

Report number:

PSI-PR-22-04,
ZU-TH 22/22

View in:

ADS Abstract Service

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Abstract: (Springer)

The electromagnetic form factors of charged and neutral kaons are strongly constrained by their low-energy singularities, in the isovector part from two-pion intermediate states and in the isoscalar contribution in terms of

\omega

and

\phi

residues. The former can be predicted using the respective

\pi \pi \rightarrow {{\bar{K}}} K

partial-wave amplitude and the pion electromagnetic form factor, while the latter parameters need to be determined from electromagnetic reactions involving kaons. We present a global analysis of time- and spacelike data that implements all of these constraints. The results enable manifold applications: kaon charge radii, elastic contributions to the kaon electromagnetic self energies and corrections to Dashen’s theorem, kaon boxes in hadronic light-by-light (HLbL) scattering, and the

\phi

region in hadronic vacuum polarization (HVP). Our main results are:

\langle r^2\rangle _\text {c}=0.359(3)\,\text {fm}^2

,

\langle r^2\rangle _\text {n}=-0.060(4)\,\text {fm}^2

for the charged and neutral radii,

\epsilon =0.63(40)

for the elastic contribution to the violation of Dashen’s theorem,

a_\mu ^{K\text {-box}}=-0.48(1)\times 10^{-11}

for the charged kaon box in HLbL scattering, and

a_\mu ^\text {HVP}[K^+K^-, \le 1.05\,\text {GeV}]=184.5(2.0)\times 10^{-11}

,

a_\mu ^\text {HVP}[K_SK_L, \le 1.05\,\text {GeV}]=118.3(1.5)\times 10^{-11}

for the HVP integrals around the

\phi

resonance. The global fit to

{{\bar{K}}} K

gives

{{\bar{M}}}_\phi =1019.479(5)\,\text {MeV}

,

{\bar{ \varGamma }}_\phi =4.207(8)\,\text {MeV}

for the

\phi

resonance parameters including vacuum-polarization effects.

Note:

18 pages, 10 figures; v2 as published in EPJC

form factor: electromagnetic
photon photon: scattering
K: charge radius
vacuum polarization: hadronic
vacuum polarization: effect

References(169)

Figures(4)

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