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@ARTICLE{Erben:639475,
author = {Erben, Felix and Gülpers, Vera and Hansen, Maxwell T. and
Hodgson, Raoul Rustell and Portelli, Antonin},
title = {{E}xploratory calculation of the rare hyperon decay
Σ$^{+}$ → pℓ$^{+}$ℓ$^{−}$ from lattice {QCD}},
reportid = {PUBDB-2025-04561, arXiv:2504.07727. CERN-TH-2025-055.
DESY-25-057},
year = {2025},
note = {35 pages, 16 figures and 6 tables. Prepared for submission
to JHEP},
abstract = {The rare hyperon decay Σ$^{+}$ → pℓ$^{+}$ℓ$^{−}$
is a flavour-changing neutral current process mediated by an
s → d transition that occurs only at loop level within the
Standard Model. Consequently, this decay is highly
suppressed, making it a promising avenue for probing
potential new physics. While phenomenological calculations
have made important progress in predicting the decay
amplitude, there remains a four-fold ambiguity in the
relevant transition form factors that prevents a unique
prediction for the branching fraction and angular
observables. Fully resolving this ambiguity requires a
first-principles Standard-Model calculation, and the recent
observation of this process using LHCb Run 2 data reinforces
the timeliness of such a calculation. In this work, we
present the first lattice-QCD calculation of this decay,
performed using a 2+1-flavour domain-wall fermion ensemble
with a pion mass of 340 Mev. At a small baryon source-sink
separation, we observe the emergence of a signal in the
relevant baryonic four-point functions. This allows us to
determine the positive-parity form factors for the rare
hyperon decays from first-principles, albeit with large
statistical and systematic uncertainties.},
keywords = {Hadronic Matrix Elements and Weak Decays (autogen) /
Lattice QCD (autogen)},
cin = {$Z_ZPPT$},
ddc = {530},
cid = {$I:(DE-H253)Z_ZPPT-20210408$},
pnm = {611 - Fundamental Particles and Forces (POF4-611) / RAD
TORCH - Rare decays of heavy mesons to resonant channels
(101106913) / NewPhysLat - Search for new physics through
lattice simulations (757646) / EuroPLEx - European network
for Particle physics, Lattice field theory and Extreme
computing (813942)},
pid = {G:(DE-HGF)POF4-611 / G:(EU-Grant)101106913 /
G:(EU-Grant)757646 / G:(EU-Grant)813942},
experiment = {EXP:(DE-MLZ)NOSPEC-20140101},
typ = {PUB:(DE-HGF)25},
eprint = {2504.07727},
howpublished = {arXiv:2504.07727},
archivePrefix = {arXiv},
SLACcitation = {$\%\%CITATION$ = $arXiv:2504.07727;\%\%$},
url = {https://bib-pubdb1.desy.de/record/639475},
}