Boyle, Peter and Erben, Felix and Flynn, Jonanthan and Garron, Nicolas and Kettle, Julia and Mukherjee, Rajnandini and Tsang, Tobias (2024) Kaon mixing beyond the standard model with physical masses. Physical Review D, 110 (3). ISSN 2470-0010
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Abstract
We present non-perturbative results for beyond the standard model kaon mixing matrix elements in the isospin symmetric limit (mu=md) of QCD, including a complete estimate of all dominant sources of systematic error. Our results are obtained from numerical simulations of lattice QCD with Nf=2+1 flavours of dynamical domain wall fermions. For the first time, these quantities are simulated directly at the physical pion mass mπ~139MeV for two different lattice spacings. We include data at three lattice spacings in the range a=0.11 - 0.07fm and with pion masses ranging from the physical value up to 450MeV. Compared to our earlier work, we have added both direct calculations at physical quark masses and a third lattice spacing making the removal of discretisation effects significantly more precise and eliminating the need for any significant mass extrapolation beyond the range of simulated data. We renormalise the lattice operators non-perturbatively using RI-SMOM off-shell schemes. These schemes eliminate the need to model and subtract non-perturbative pion poles that arises in the RI-MOM scheme and, since the calculations are performed with domain wall fermions, the unphysical mixing between chirality sectors is suppressed. Our results for the bag parameters in the MS scheme at 3GeV are BK ≡ B1=0.5240(17)(54), B2=0.4794(25)(35), B3=0.746(13)(17), B4=0.897(02)(10) and B5=0.6882(78)(94), where the first error is from lattice uncertainties and the second is the uncertainty due to the perturbative matching to MS.
| Item Type: | Article |
|---|---|
| Additional Information and Comments: | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. |
| Faculty / Department: | Faculty of Human and Digital Sciences > Mathematics and Computer Science |
| Depositing User: | Nicolas Garron |
| Date Deposited: | 03 Sep 2024 10:26 |
| Last Modified: | 03 Sep 2024 10:26 |
| URI: | https://hira.hope.ac.uk/id/eprint/4345 |
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