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The long-distance window of the hadronic vacuum polarization for the muon g-2 / RBC Collaboration
We provide the first ab-initio calculation of the Euclidean long-distance window of the isospin symmetric light-quark connected contribution to the hadronic vacuum polarization for the muon $g-2$ and find $a_\mu^{\rm LD,iso,conn,ud} = 411.4(4.3)(2.4) \times 10^{-10}$. [...]
arXiv:2410.20590 ; CERN-TH-2024-182. - 12.
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Kaon mixing beyond the standard model with physical masses / Boyle, Peter A. (Brookhaven ; Edinburgh U.) ; Erben, Felix (CERN) ; Flynn, Jonathan M. (Southampton U.) ; Garron, Nicolas (Liverpool U. ; Liverpool U., Dept. Math.) ; Kettle, Julia (Edinburgh U.) ; Mukherjee, Rajnandini (Southampton U.) ; Tsang, J. Tobias (CERN) /RBC Collaboration ; UKQCD Collaboration
We present non-perturbative results for beyond the standard model kaon mixing matrix elements in the isospin symmetric limit ($m_u=m_d$) of QCD, including a complete estimate of all dominant sources of systematic error. Our results are obtained from numerical simulations of lattice QCD with $N_f = 2+1$ flavours of dynamical domain wall fermions. [...]
arXiv:2404.02297; CERN-TH-2024-040; LTH 1366.- 2024-08-01 - 31 p. - Published in : Phys. Rev. D 110 (2024) 034501 Fulltext: Publication - PDF; 2404.02297 - PDF;

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Update of Euclidean windows of the hadronic vacuum polarization / RBC Collaboration
We compute the standard Euclidean window of the hadronic vacuum polarization using multiple independent blinded analyses. We improve the continuum and infinite-volume extrapolations of the dominant quark-connected light-quark isospin-symmetric contribution and address additional sub-leading systematic effects from sea-charm quarks and residual chiral-symmetry breaking from first principles. [...]
arXiv:2301.08696.- 2023-09-01 - 24 p. - Published in : Phys. Rev. D 108 (2023) 054507 Fulltext: Publication - PDF; 2301.08696 - PDF;

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A lattice QCD perspective on weak decays of b and c quarks Snowmass 2022 White Paper / Boyle, Peter A. (Brookhaven ; U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Chakraborty, Bipasha (Cambridge U., DAMTP) ; Davies, Christine T.H. (Glasgow U.) ; DeGrand, Thomas (Colorado U.) ; DeTar, Carleton (Utah U.) ; Del Debbio, Luigi (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; El-Khadra, Aida X. (Illinois U., Urbana) ; Erben, Felix (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Flynn, Jonathan M. (U. Southampton (main)) ; Gámiz, Elvira (Granada U., Theor. Phys. Astrophys.) et al.
Lattice quantum chromodynamics has proven to be an indispensable method to determine nonperturbative strong contributions to weak decay processes. [...]
arXiv:2205.15373 ; CERN-TH-2022-036 ; FERMILAB-CONF-22-433-SCD-T ; JLAB-THY-22-3582, MITP-22-020 ; MIT-CTP/5413 ; MS-TP-22-07 ; SI-HEP-2022-11. - 19.
Fermilab Library Server - eConf - Fulltext - Fulltext

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Simulating rare kaon decays $K^{+}\to\pi^{+}\ell^{+}\ell^{-}$ using domain wall lattice QCD with physical light quark masses / Boyle, P.A. (Edinburgh U. ; Brookhaven) ; Erben, F. (Edinburgh U.) ; Flynn, J.M. (Southampton U. ; U. Southampton (main)) ; Gülpers, V. (Edinburgh U.) ; Hill, R.C. (Edinburgh U. ; Southampton U.) ; Hodgson, R. (Edinburgh U.) ; Jüttner, A. (Southampton U. ; U. Southampton (main) ; CERN) ; hÓgáin, F.Ó. (Edinburgh U.) ; Portelli, A. (Edinburgh U.) ; Sachrajda, C.T. (Southampton U.) /RBC Collaboration ; UKQCD Collaboration
We report the first calculation using physical light-quark masses of the electromagnetic form factor $V(z)$ describing the long-distance contributions to the $K^+\to\pi^+\ell^+\ell^-$ 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. [...]
arXiv:2202.08795; CERN-TH-2022-037.- 2023-01-01 - 11 p. - Published in : Phys. Rev. D Fulltext: PDF;

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Lattice determination of $I= 0$ and 2 $\pi\pi$ scattering phase shifts with a physical pion mass / RBC Collaboration
Phase shifts for $s$-wave $\pi\pi$ scattering in both the $I=0$ and $I=2$ channels are determined from a lattice QCD calculation performed on 741 gauge configurations obeying G-parity boundary conditions with a physical pion mass and lattice size of $32^3\times 64$. These results support our recent study of direct CP violation in $K\to\pi\pi$ decay \cite{Abbott:2020hxn}, improving our earlier 2015 calculation \cite{Bai:2015nea}. [...]
arXiv:2103.15131; CERN-TH-2021-039.- 2021-12-01 - 88 p. - Published in : Phys. Rev. D 104 (2021) 114506 Fulltext: 2103.15131 - PDF; PhysRevD.104.114506 - PDF;

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Direct CP violation and the $\Delta I=1/2$ rule in $K\to\pi\pi$ decay from the Standard Model / RBC Collaboration
We present a lattice QCD calculation of the $\Delta I=1/2$, $K\to\pi\pi$ decay amplitude $A_0$ and $\varepsilon'$, the measure of direct CP-violation in $K\to\pi\pi$ decay, improving our 2015 calculation of these quantities. Both calculations were performed with physical kinematics on a $32^3\times 64$ lattice with an inverse lattice spacing of $a^{-1}=1.3784(68)$ GeV. [...]
arXiv:2004.09440; CERN-TH-2020-058; MIT-CTP/5197.- 2020-09-18 - 95 p. - Published in : Phys. Rev. D 102 (2020) 054509 Article from SCOAP3: PDF; Fulltext: PDF; External links: Press Release; Physics Synopsis

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Computing the muon anomalous magnetic moment using the hybrid method with physical quark masses / Spraggs, Matthew (Southampton U.) ; Boyle, Peter A (Edinburgh U.) ; Del Debbio, Luigi (Edinburgh U.) ; Izubuchi, Taku (Brookhaven ; RIKEN BNL) ; Jüttner, Andreas (Southampton U.) ; Lehner, Christoph (Brookhaven) ; Maltman, Kim (York U., Canada ; U. Adelaide, Sch. Math. Sci.) ; Marinkovic, Marina Krstic (CERN) ; Portelli, Antonin (Southampton U. ; Edinburgh U.)
I present our work on the leading strange quark-connected contribution to the muon anomalous magnetic moment using RBC/UKQCD physical point domain wall fermion ensembles. I also present preliminary results of a computation of the light quark-connected contribution using a similar approach..
SISSA, 2016 - 7 p. - Published in : PoS LATTICE2016 (2016) 184 Fulltext: PDF; External link: PoS server
In : 34th International Symposium on Lattice Field Theory, Southampton, UK, 24 - 30 Jul 2016, pp.184

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Lattice calculation of the leading strange quark-connected contribution to the muon $g-2$ / RBC/UKQCD Collaboration
We present results for the leading hadronic contribution to the muon anomalous magnetic moment due to strange quark-connected vacuum polarisation effects. Simulations were performed using RBC--UKQCD's $N_f=2+1$ domain wall fermion ensembles with physical light sea quark masses at two lattice spacings. [...]
arXiv:1602.01767; CERN-TH-2016-029.- 2016-04-11 - 21 p. Article from SCOAP3: scoap3-fulltext - PDF; scoap - PDF; Fulltext: PDF;

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Calculation of the hadronic vacuum polarization disconnected contribution to the muon anomalous magnetic moment / Blum, T. (Connecticut U.) ; Boyle, P.A. (Edinburgh U.) ; Izubuchi, T. (Brookhaven Natl. Lab. ; RIKEN BNL) ; Jin, L. (Columbia U.) ; Jüttner, A. (U. Southampton (main)) ; Lehner, C. (Brookhaven) ; Maltman, K. (Adelaide U. ; York U., Canada) ; Marinkovic, M. (CERN ; Geneva U.) ; Portelli, A. (Edinburgh U. ; U. Southampton (main)) ; Spraggs, M. (U. Southampton (main))
We report the first lattice QCD calculation of the hadronic vacuum polarization disconnected contribution to the muon anomalous magnetic moment at physical pion mass. The calculation uses a refined noise-reduction technique which enabled the control of statistical uncertainties at the desired level with modest computational effort. [...]
arXiv:1512.09054.- 2016-06-08 - 6 p. - Published in : Phys. Rev. Lett. 116 (2016) 232002 APS Open Access article: PDF; Fulltext: 10.1103_PhysRevLett.116.232002 - PDF; arXiv:1512.09054 - PDF; External link: Preprint

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28	Boyle, P
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