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Simulating rare kaon decays K+→π+ℓ+ℓ− using domain wall lattice QCD with physical light quark masses

Simulating rare kaon decays K+→π+ℓ+ℓ− using domain wall lattice QCD with physical light quark masses
Simulating rare kaon decays K+→π+ℓ+ℓ− using domain wall lattice QCD with physical light quark masses
We report the first calculation using physical light-quark masses of the electromagnetic form factor V(z) describing the long-distance contributions to the K+→π+ℓ+ℓ− decay amplitude. The calculation is performed on a 2+1 flavor domain wall fermion ensemble with inverse lattice spacing a−1=1.730(4)GeV. We implement a Glashow-Iliopoulos-Maiani cancellation by extrapolating to the physical charm-quark mass from three below-charm masses. We obtain V(z=0.013(2))=−0.87(4.44), achieving a bound for the value. The large statistical error arises from stochastically estimated quark loops.
hep-lat, hep-ph
2470-0010
Boyle, P. A.
d2737c8a-ba0a-4adc-9670-77aa7732cdeb
Erben, F.
77ddb031-333a-4703-a306-ad148a612643
Flynn, J. M.
d8e90963-ba56-415c-bbd4-496b7d91d343
Gülpers, V.
8547047e-ffc3-4a5a-8c75-22dd175ab1b2
Hill, R.C.
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Hodgson, R.
db407c84-8e91-4f95-8e23-9e1093656916
Jüttner, A.
a90ff7c5-ae8f-4c8e-9679-b5a95b2a6247
hÓgáin, F. Ó
a05e03d7-6c48-484e-bb96-cabd093f5521
Portelli, A.
a2526d4a-144e-4095-802a-229cddb10f0f
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Boyle, P. A.
d2737c8a-ba0a-4adc-9670-77aa7732cdeb
Erben, F.
77ddb031-333a-4703-a306-ad148a612643
Flynn, J. M.
d8e90963-ba56-415c-bbd4-496b7d91d343
Gülpers, V.
8547047e-ffc3-4a5a-8c75-22dd175ab1b2
Hill, R.C.
32648a2c-42f6-4433-866e-0d40767ee601
Hodgson, R.
db407c84-8e91-4f95-8e23-9e1093656916
Jüttner, A.
a90ff7c5-ae8f-4c8e-9679-b5a95b2a6247
hÓgáin, F. Ó
a05e03d7-6c48-484e-bb96-cabd093f5521
Portelli, A.
a2526d4a-144e-4095-802a-229cddb10f0f
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7

Boyle, P. A., Erben, F., Flynn, J. M., Gülpers, V., Hill, R.C., Hodgson, R., Jüttner, A., hÓgáin, F. Ó, Portelli, A. and Sachrajda, C.T. (2023) Simulating rare kaon decays K+→π+ℓ+ℓ− using domain wall lattice QCD with physical light quark masses. Physical Review D, 107 (1), [L011503]. (doi:10.48550/arXiv.2202.08795).

Record type: Article

Abstract

We report the first calculation using physical light-quark masses of the electromagnetic form factor V(z) describing the long-distance contributions to the K+→π+ℓ+ℓ− decay amplitude. The calculation is performed on a 2+1 flavor domain wall fermion ensemble with inverse lattice spacing a−1=1.730(4)GeV. We implement a Glashow-Iliopoulos-Maiani cancellation by extrapolating to the physical charm-quark mass from three below-charm masses. We obtain V(z=0.013(2))=−0.87(4.44), achieving a bound for the value. The large statistical error arises from stochastically estimated quark loops.

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Accepted/In Press date: 22 November 2022
Published date: 13 January 2023
Additional Information: This work used the DiRAC Extreme Scaling service at the University of Edinburgh, operated by the Edinburgh Parallel Computing Centre on behalf of the Science and Technology Facilities Council (STFC) Distributed Research Utilising Advanced Computing (DiRAC) HPC Facility [37]. This equipment was funded by (Department of) Business, Energy and Industrial Strategy (BEIS) capital funding via STFC Capital Grant No. ST/R00238X/1 and STFC DiRAC Operations Grant No. ST/R001006/1. DiRAC is part of the National e-Infrastructure. P. B. has been supported in part by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, under Contract No. DE-SC-0012704 (BNL). F. E., V. G., R. Hodgson, F. Óh, and A. P. received funding from the European Research Council (ERC) under the European Unions Horizon 2020 research and innovation program under Grant Agreement No. 757646 and A. P. additionally under Grant Agreement No. 813942. R. Hill was partially supported by the DISCnet Centre for Doctoral Training (STFC Grant No. ST/P006760/1). A. P., V. G., F. E., and R. Hill are additionally supported by UK STFC Grant No. ST/P000630/1. A. J. and J. F. acknowledge funding from STFC Consolidated Grant No. ST/P000711/1, and A. J. from No. ST/T000775/1. C. T. S. was partially supported by an Emeritus Fellowship from the Leverhulme Trust and by STFC (UK) Grants No. ST/P000711/1 and No. ST/T000775/1.
Keywords: hep-lat, hep-ph

Identifiers

Local EPrints ID: 469145
URI: http://eprints.soton.ac.uk/id/eprint/469145
ISSN: 2470-0010
PURE UUID: 6a0d0b7d-dca3-4816-ae28-89a5a6824fac
ORCID for J. M. Flynn: ORCID iD orcid.org/0000-0002-6280-1677
ORCID for A. Jüttner: ORCID iD orcid.org/0000-0002-3978-0927
ORCID for A. Portelli: ORCID iD orcid.org/0000-0002-6059-917X

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Date deposited: 07 Sep 2022 17:38
Last modified: 31 Oct 2023 02:50

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Contributors

Author: P. A. Boyle
Author: F. Erben
Author: J. M. Flynn ORCID iD
Author: V. Gülpers
Author: R.C. Hill
Author: R. Hodgson
Author: A. Jüttner ORCID iD
Author: F. Ó hÓgáin
Author: A. Portelli ORCID iD
Author: C.T. Sachrajda

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