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arXiv 2024年

作者： Alexandrou, C. Bacchio, S. De Santis, A. Evangelista, A. Finkenrath, J. Frezzotti, R. Gagliardi, G. Garofalo, M. Kalntis, N. Kostrzewa, B. Lubicz, V. Pittler, F. Romiti, S. Sanfilippo, F. Simula, S. Tantalo, N. Urbach, C. Wenger, U. Department of Physics University of Cyprus Nicosia20537 Cyprus Computation-based Science and Technology Research Center The Cyprus Institute 20 Konstantinou Kavafi Street Nicosia2121 Cyprus Dipartimento di Fisica INFN Università di Roma "Tor Vergata" Via della Ricerca Scientifica 1 RomaI-00133 Italy Department of Theoretical Physics European Organization for Nuclear Research CERN Genève 23CH-1211 Switzerland Dipartimento di Matematica e Fisica Università Roma Tre INFN Sezione di Roma Tre Via della Vasca Navale 84 RomeI-00146 Italy Rheinische Friedrich-Wilhelms-Universität Bonn Nussallee 14-16 Bonn53115 Germany Institute for Theoretical Physics Albert Einstein Center for Fundamental Physics University of Bern Sidlerstrasse 5 BernCH-3012 Switzerland High Performance Computing and Analytics Lab Rheinische Friedrich-Wilhelms-Universität Bonn Friedrich-Hirzebruch-Allee 8 Bonn53115 Germany Istituto Nazionale di Fisica Nucleare Sezione di Roma Tre Via della Vasca Navale 84 RomeI-00146 Italy

We present a lattice calculation of the Hadronic Vacuum Polarization (HVP) contribution of the strange and charm quarks to the anomalous magnetic moment of the muon in isospin symmetric QCD. We employ the gauge configurations generated by the Extended Twisted Mass Collaboration (ETMC) with Nf = 2+1+1 flavors of Wilson-clover twisted-mass quarks at five lattice spacings and at values of the quark mass parameters that are close and/or include the isospin symmetric QCD point of interest. After computing the small corrections necessary to precisely match this point, and carrying out an extrapolation to the continuum limit based on the data at lattice spacings a 0.049, 0.057, 0.068, 0.080 fm and spatial lattice sizes up to L 7.6 fm, we obtain aHVP μ (s) = (53.57 ± 0.63) × 10-10 and aHVP μ (c) = (14.56 ± 0.13) × 10-10, for the quark-connected strange and charm contributions, respectively. Our findings agree well with the corresponding results by other lattice groups. Copyright © 2024, The Authors. All rights reserved.

关键词： Magnetic moments

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Lattice calculation of the short and intermediate time-distance hadronic vacuum polarization contributions to the muon magnetic moment using twisted-mass fermions

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Physical Review D 2023年第7期107卷 074506-074506页

作者： C. Alexandrou S. Bacchio P. Dimopoulos J. Finkenrath R. Frezzotti G. Gagliardi M. Garofalo K. Hadjiyiannakou B. Kostrzewa K. Jansen V. Lubicz M. Petschlies F. Sanfilippo S. Simula C. Urbach U. Wenger Department of Physics University of Cyprus 20537 Nicosia Cyprus Computation-based Science and Technology Research Center The Cyprus Institute 20 Konstantinou Kavafi Street 2121 Nicosia Cyprus Dipartimento di Scienze Matematiche Fisiche e Informatiche Università di Parma and INFN Gruppo Collegato di Parma Parco Area delle Scienze 7/a (Campus) 43124 Parma Italy Dipartimento di Fisica and INFN Università di Roma “Tor Vergata” Via della Ricerca Scientifica 1 I-00133 Roma Italy Istituto Nazionale di Fisica Nucleare Sezione di Roma Tre Via della Vasca Navale 84 I-00146 Rome Italy HISKP (Theory) Rheinische Friedrich-Wilhelms-Universität Bonn Nussallee 14-16 53115 Bonn Germany High Performance Computing and Analytics Lab Rheinische Friedrich-Wilhelms-Universität Bonn Friedrich-Hirzebruch-Allee 8 53115 Bonn Germany NIC DESY Platanenallee 6 D-15738 Zeuthen Germany Dipartimento di Matematica e Fisica Università Roma Tre and INFN Sezione di Roma Tre Via della Vasca Navale 84 I-00146 Rome Italy Institute for Theoretical Physics Albert Einstein Center for Fundamental Physics University of Bern Sidlerstrasse 5 CH-3012 Bern Switzerland

We present a lattice determination of the leading-order hadronic vacuum polarization (HVP) contribution to the muon anomalous magnetic moment, aμHVP, in the so-called short and intermediate time-distance windows, aμSD and aμW, defined by the RBC/UKQCD Collaboration [Phys. Rev. Lett. 121, 022003 (2018)]. We employ gauge ensembles produced by the Extended Twisted Mass Collaboration (ETMC) with Nf=2+1+1 flavors of Wilson-clover twisted-mass quarks with masses of all the dynamical quark flavors tuned close to their physical values. The simulations are carried out at three values of the lattice spacing equal to ≃0.057, 0.068 and 0.080 fm with spatial lattice sizes up to L≃7.6 fm. For the short-distance window we obtain aμSD(ETMC)=69.27(34)×10−10, which is consistent with the recent dispersive value of aμSD(e+e−)=68.4(5)×10−10 [, Phys. Lett. B 833, 137313 (2022)]. In the case of the intermediate window we get the value aμW(ETMC)=236.3(1.3)×10−10, which is consistent with the result aμW(BMW)=236.7(1.4)×10−10 [, Nature (London) 593, 51 (2021)] by the BMW Collaboration as well as with the recent determination by the CLS/Mainz group of aμW(CLS)=237.30(1.46)×10−10 [, Phys. Rev. D 106, 114502 (2022)]. However, it is larger than the dispersive result of aμW(e+e−)=229.4(1.4)×10−10 by approximately 3.6 standard deviations. The tension increases to approximately 4.5 standard deviations if we average our ETMC result with those by BMW and CLS/Mainz. Our accurate lattice results in the short and intermediate windows point to a possible deviation of the e+e− cross section data with respect to Standard Model predictions in the low- and intermediate-energy regions but not in the high-energy region.

关键词： Magnetic moment Strong interaction Muons Quarks Lattice QCD Monte Carlo methods

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Disconnected contribution to the LO HVP term of muon g-2 from ETMC

arXiv

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arXiv 2022年

作者： Alexandrou, C. Bacchio, S. Dimopoulos, P. Finkenrath, J. Frezzotti, R. Gagliardi, G. Garofalo, M. Hadjiyiannakou, K. Kostrzewa, B. Jansen, K. Lubicz, V. Petschlies, M. Sanfilippo, F. Simula, S. Urbach, C. Wenger, U. Department of Physics University of Cyprus Nicosia20537 Cyprus Computation-based Science and Technology Research Center The Cyprus Institute 20 Konstantinou Kavafi Street Nicosia2121 Cyprus Parma43124 Italy Dipartimento di Fisica INFN Università di Roma "Tor Vergata" Via della Ricerca Scientifica 1 RomaI-00133 Italy Institute for Theoretical Physics Albert Einstein Center for Fundamental Physics University of Bern Sidlerstrasse 5 BernCH-3012 Switzerland Istituto Nazionale di Fisica Nucleare Sezione di Roma Tre Via della Vasca Navale 84 RomeI-00146 Italy Rheinische Friedrich-Wilhelms-Universität Bonn Nussallee 14-16 Bonn53115 Germany High Performance Computing and Analytics Lab Rheinische Friedrich-Wilhelms-Universität Bonn Friedrich-Hirzebruch-Allee 8 Bonn53115 Germany NIC DESY Platanenallee 6 ZeuthenD-15738 Germany Dipartimento di Matematica e Fisica Università Roma Tre INFN Sezione di Roma Tre Via della Vasca Navale 84 RomeI-00146 Italy

We present a lattice determination of the disconnected contributions to the leading-order hadronic vacuum polarization (HVP) to the muon anomalous magnetic moment in the so-called short and intermediate time-distance windows. We employ gauge ensembles produced by the Extended Twisted Mass Collaboration (ETMC) with N f = 2 + 1 + 1 flavours of Wilson twisted-mass clover-improved quarks with masses approximately tuned to their physical value. We take the continuum limit employing three lattice spacings at about 0.08, 0.07 and 0.06 fm. © 2022, CC BY.

关键词： Magnetic moments

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Pion Transition Form Factor from Twisted-Mass Lattice QCD and the Hadronic Light-by-Light π0-pole Contribution to the Muon g − 2

arXiv

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arXiv 2023年

作者： Alexandrou, C. Bacchio, S. Bergner, G. Burri, S. Finkenrath, J. Gasbarro, A. Hadjiyiannakou, K. Jansen, K. Kanwar, G. Kostrzewa, B. Koutsou, G. Ottnad, K. Petschlies, M. Pittler, F. Steffens, F. Urbach, C. Wenger, U. Department of Physics University of Cyprus Nicosia20537 Cyprus Computation-based Science and Technology Research Center The Cyprus Institute 20 Konstantinou Kavafi Street Nicosia2121 Cyprus University of Jena Institute for Theoretical Physics Max-Wien-Platz 1 JenaD-07743 Germany Albert Einstein Center for Fundamental Physics Institute for Theoretical Physics University of Bern Sidlerstrasse 5 BernCH–3012 Switzerland Bergische Universität Wuppertal Gaußstraße 20 Wuppertal42119 Germany Deutsches Elektronen-Synchrotron DESY Platanenallee 6 Zeuthen15738 Germany High Performance Computing and Analytics Lab Rheinische Friedrich-Wilhelms-Universität Bonn Friedrich-Hirzebruch-Allee 8 BonnD-53115 Germany PRISMA+ Cluster of Excellence Institut für Kernphysik Johannes Gutenberg-Universität Mainz Johann-Joachim-Becher-Weg 45 MainzD-55128 Germany Rheinische Friedrich-Wilhelms-Universität Bonn Nussallee 14-16 BonnD-53115 Germany Bethe Center for Theoretical Physics Rheinische Friedrich-Wilhelms-Universität Bonn Wegelerstraße 10 BonnD-53115 Germany

The neutral pion generates the leading pole contribution to the hadronic light-by-light tensor, which is given in terms of the nonperturbative transition form factor (formula presented). Here we present an ab-initio lattice calculation of this quantity in the continuum and at the physical point using twisted-mass lattice QCD. We report our results for the transition form factor parameterized using a model-independent conformal expansion valid for arbitrary space-like kinematics and compare it with experimental measurements of the single-virtual form factor, the two-photon decay width, and the slope parameter. We then use the transition form factors to compute the pion-pole contribution to the hadronic light-by-light scattering in the muon g − 2, finding (formula presented). Copyright © 2023, The Authors. All rights reserved.

关键词： Poles

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Lattice calculation of the short and intermediate time-distance hadronic vacuum polarization contributions to the muon magnetic moment using twisted-mass fermions

arXiv

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arXiv 2022年

作者： Alexandrou, C. Bacchio, S. Dimopoulos, P. Finkenrath, J. Frezzotti, R. Gagliardi, G. Garofalo, M. Hadjiyiannakou, K. Kostrzewa, B. Jansen, K. Lubicz, V. Petschlies, M. Sanfilippo, F. Simula, S. Urbach, C. Wenger, U. Department of Physics University of Cyprus Nicosia20537 Cyprus Computation-based Science and Technology Research Center The Cyprus Institute 20 Konstantinou Kavafi Street Nicosia2121 Cyprus Parma43124 Italy Dipartimento di Fisica Infn Università di Roma 'Tor Vergata' Via della Ricerca Scientifica 1 RomaI-00133 Italy Istituto Nazionale di Fisica Nucleare Sezione di Roma Tre Via della Vasca Navale 84 RomeI-00146 Italy Rheinische Friedrich-Wilhelms-Universität Bonn Nussallee 14-16 Bonn53115 Germany High Performance Computing and Analytics Lab Rheinische Friedrich-Wilhelms-Universität Bonn Friedrich-Hirzebruch-Allee 8 Bonn53115 Germany Nic Desy Platanenallee 6 ZeuthenD-15738 Germany Dipartimento di Matematica e Fisica Università Roma Tre INFN Sezione di Roma Tre Via della Vasca Navale 84 RomeI-00146 Italy Institute for Theoretical Physics Albert Einstein Center for Fundamental Physics University of Bern Sidlerstrasse 5 BernCH-3012 Switzerland

We present a lattice determination of the leading-order hadronic vacuum polarization (HVP) contribution to the muon anomalous magnetic moment, aμHVP, in the so-called short and intermediate time-distance windows, aμSDand aμW, defined by the RBC/UKQCD Collaboration [1]. We employ gauge ensembles produced by the Extended Twisted Mass Collaboration (ETMC) with Nf= 2 + 1 + 1 flavors of Wilson-clover twisted-mass quarks with masses of all the dynamical quark flavors tuned close to their physical values. The simulations are carried out at three values of the lattice spacing equal to ≅ 0.057, 0.068 and 0.080 fm with spatial lattice sizes up to L ≅ 7.6 fm. For the short distance window we obtain aμSD(ETMC) = 69.27 (34)·10-10, which is consistent with the recent dispersive value of aμSD(e+e-) = 68.4 (5)·10-10[2]. In the case of the intermediate window we get the value aμW(ETMC) = 236.3 (1.3)·10-10, which is consistent with the result aμW(BMW) = 236.7 (1.4)·10-10[3] by the BMW collaboration as well as with the recent determination by the CLS/Mainz group of aμW(CLS) = 237.30 (1.46)·10-10[4]. However, it is larger than the dispersive result of aμW(e+e-) = 229.4 (1.4)·10-10[2] by approximately 3.6 standard deviations. The tension increases to approximately 4.5 standard deviations if we average our ETMC result with those by BMW and CLS/Mainz. Our accurate lattice results in the short and intermediate windows point to a possible deviation of the e+e-cross section data with respect to Standard Model predictions in the low and intermediate energy regions, but not in the high energy region. Copyright © 2022, The Authors. All rights reserved.

关键词： Magnetic moments

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Ratio of kaon and pion leptonic decay constants with Nf = 2 + 1 + 1 Wilson-clover twisted-mass fermions

arXiv

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arXiv 2021年

作者： Alexandrou, C. Bacchio, S. Bergner, G. Dimopoulos, P. Finkenrath, J. Frezzotti, R. Garofalo, M. Kostrzewa, B. Koutsou, G. labus, P. Sanfilippo, F. Simula, Silvano Ueding, M. Urbach, C. Wenger, U. Department of Physics University of Cyprus Nicosia20537 Cyprus Computation-based Science and Technology Research Center The Cyprus Institute 20 Konstantinou Kavafi Street Nicosia2121 Cyprus University of Jena Institute for Theoretical Physics Max-Wien-Platz 1 JenaD-07743 Germany ParmaI-43124 Italy Dipartimento di Fisica Università di Roma Tor Vergata INFN Sezione di Tor Vergata Via della Ricerca Scientifica 1 RomaI-00133 Italy Dipartimento di Fisica Università Roma Tre INFN Sezione di Roma Tre Via della Vasca Navale 84 RomeI-00146 Italy Rheinische Friedrich-Wilhelms-Universität Bonn Nussallee 14-16 Bonn53115 Germany High Performance Computing and Analytics Lab Rheinische Friedrich-Wilhelms-Universität Bonn Friedrich-Hirzebruch-Allee 8 Bonn53115 Germany Fraunhofer-Platz 1 Kaiserslautern67663 Germany Istituto Nazionale di Fisica Nucleare Sezione di Roma Tre Via della Vasca Navale 84 RomeI-00146 Italy Institute for Theoretical Physics Albert Einstein Center for Fundamental Physics University of Bern Sidlerstrasse 5 BernCH-3012 Switzerland

We present a determination of the ratio of kaon and pion leptonic decay constants in isosymmetric QCD (isoQCD), fK/fπ, making use of the gauge ensembles produced by the Extended Twisted Mass Collaboration (ETMC) with Nf = 2+1+1 flavors of Wilson-clover twisted-mass quarks, including configurations close to the physical point for all dynamical flavors. The simulations are carried out at three values of the lattice spacing ranging from ∼ 0.068 to ∼ 0.092 fm with linear lattice size up to L ∼ 5.5 fm. The scale is set by the PDG value of the pion decay constant, fπisoQCD = 130.4 (2) MeV, at the isoQCD pion point, MisoQCD = 135.0 (2) MeV, obtaining for the gradient-flow (GF) scales the values w0 = π 0.17383 (63) fm, √t0 = 0.14436 (61) fm and t0/w0 = 0.11969 (62) fm. The data are analyzed within the framework of SU(2) Chiral Perturbation Theory (ChPT) without resorting to the use of renormalized quark masses. At the isoQCD kaon point MKisoQCD = 494.2 (4) MeV we get (fK/fπ)isoQCD = 1.1995 (44), where the error includes both statistical and systematic uncertainties. Implications for the Cabibbo-Kobayashi-Maskawa (CKM) matrix element |Vus| and for the first-row CKM unitarity are discussed. Copyright © 2021, The Authors. All rights reserved.

关键词： Hadrons

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Lattice gauge ensembles and data management

arXiv

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arXiv 2022年

作者： Bali, Gunnar Bignell, Ryan Francis, Anthony Gottlieb, Steven Gupta, Rajan Kanamori, Issaku Kostrzewa, Bartosz Kotov, Andrey Yu Kuramashi, Yoshinobu Mawhinney, Robert Schmidt, Christian Söldner, Wolfgang Sun, Peng Institut für Theoretische Physik Universität Regensburg Universitätsstr. 31 Regensburg93053 Germany Department of Physics Swansea University SwanseaSA2 8PP United Kingdom Institute of Physics National Yang Ming Chiao Tung University Hsinchu30010 Taiwan Department of Physics Indiana University BloomingtonIN47405 United States Los Alamos National Laboratory Theoretical Division T-2 Los Alamos NM87545 United States 7-1-26 Minatojima Minamimachi Kobe650-0047 Japan High Performance Computing and Analytics Lab Rheinische Friedrich-Wilhelms-Universität Bonn Friedrich-Hirzebruch-Allee 8 Bonn53115 Germany Forschungszentrum Jülich Jülich52428 Germany Center for Computational Sciences University of Tsukuba Tsukuba305-8577 Japan Physics Department Columbia University New YorkNY10027 United States Fakultät für Physik Universität Bielefeld Universitätsstr. 25 Bielefeld33615 Germany Institute of Modern Physics Chinese Academy of Sciences Lanzhou730000 China University of Chinese Academy of Sciences Beijing100049 China

The generation of ensembles of gauge configurations is a considerable expense. The preservation and curation of these ensembles constitutes a valuable shared resource for the lattice field theory community. The organizers of Lattice 2022 dedicated a parallel session to the presentation of gauge ensembles and their generation, plans for ensemble publication and data management/storage activities of different collaborations. A summary of the twelve contributions is presented here. © 2022, CC BY-NC-ND.

关键词： Information management

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Twisted mass gauge ensembles at physical values of the light, strange and charm quark masses

arXiv

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arXiv 2022年

作者： Finkenrath, Jacob Alexandrou, Constantia Bacchio, Simone Constantinou, Martha Dimopoulos, Petros Frezzotti, Roberto Jansen, Karl Kostrzewa, Bartosz Koutsou, Giannis Rossi, Giancarlo Urbach, Carsten Wenger, Urs Computation-Based Science and Technology Research Center The Cyprus Institute Nicosia 20 Constantinou Kavafi Str. Nicosia2121 Cyprus Department of Physics University of Cyprus P.O. Box 20537 Nicosia1678 Cyprus Temple University 1801 N Broad Str. PhiladelphiaPA19122 United States Dipartimento di Scienze Matematiche Fisiche e Informatiche Università di Parma INFN Gruppo Collegato di Parma Italy Dipartimento di Fisica Universita di Roma "Tor Vergata" INFN Sezione di Roma 2 Via della Ricerca Scientifica Rome00133 Italy NIC DESY Zeuthen Germany High Performance Computing and Analytics Lab Rheinische Friedrich-Wilhelms-Universität Bonn Friedrich-Hirzebruch- Allee 8 BonnD-53115 Germany Centro Fermi - Museo Storico della Fisica e Centro Studi e Ricerche Enrico Fermi Compendio del Viminale Piazza del Viminiale 1 RomeI-00184 Italy Rheinische Friedrich-Wilhelms-Universität Bonn Bonn Germany Albert Einstein Center for Fundamental Physics Institute for Theoretical Physics University of Bern Sidlerstrasse 5 BernCH-3012 Switzerland

Lattice QCD simulations directly at physical masses of dynamical light, strange and charm quarks are highly desirable especially to remove systematic errors due to chiral extrapolations. However such simulations are still challenging. We discuss the adaption of efficient algorithms, like multigrid methods or higher order integrators, within the molecular dynamic steps of the Hybrid Monte Carlo algorithm, that are enabling simulations of a new set of gauge ensembles by the Extended Twisted Mass collaboration (ETMC). We present the status of the on-going ETMC simulation effort that aims to enabling studies of finite size and discretization effects. We work within the twisted mass discretization which is free of odd-discretization effects at maximal twist and present our tuning procedure. © 2022, CC BY.

关键词： Gages

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Ratio of kaon and pion leptonic decay constants with Nf=2+1+1 Wilson-clover twisted-mass fermions

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Physical Review D 2021年第7期104卷 074520-074520页

作者： C. Alexandrou S. Bacchio G. Bergner P. Dimopoulos J. Finkenrath R. Frezzotti M. Garofalo B. Kostrzewa G. Koutsou P. labus F. Sanfilippo S. Simula M. Ueding C. Urbach U. Wenger Department of Physics University of Cyprus 20537 Nicosia Cyprus Computation-based Science and Technology Research Center The Cyprus Institute 20 Konstantinou Kavafi Street 2121 Nicosia Cyprus University of Jena Institute for Theoretical Physics Max-Wien-Platz 1 D-07743 Jena Germany Dipartimento di Scienze Matematiche Fisiche e Informatiche Università di Parma and INFN Gruppo Collegato di Parma Parco Area delle Scienze 7/a (Campus) I-43124 Parma Italy Dipartimento di Fisica Università di Roma “Tor Vergata” and INFN Sezione di Tor Vergata Via della Ricerca Scientifica 1 I-00133 Roma Italy Dipartimento di Fisica Università Roma Tre and INFN Sezione di Roma Tre Via della Vasca Navale 84 I-00146 Rome Italy HISKP (Theory) Rheinische Friedrich-Wilhelms-Universität Bonn Nussallee 14-16 53115 Bonn Germany High Performance Computing and Analytics Lab Rheinische Friedrich-Wilhelms-Universität Bonn Friedrich-Hirzebruch-Allee 8 53115 Bonn Germany Fraunhofer Institute for Industrial Mathematics (ITWM) Fraunhofer-Platz 1 67663 Kaiserslautern Germany Istituto Nazionale di Fisica Nucleare Sezione di Roma Tre Via della Vasca Navale 84 I-00146 Rome Italy Institute for Theoretical Physics Albert Einstein Center for Fundamental Physics University of Bern Sidlerstrasse 5 CH-3012 Bern Switzerland

We present a determination of the ratio of kaon and pion leptonic decay constants in isosymmetric QCD (ISOQCD), fK/fπ, making use of the gauge ensembles produced by the Extended Twisted Mass Collaboration with Nf=2+1+1 flavors of Wilson-clover twisted-mass quarks, including configurations close to the physical point for all dynamical flavors. The simulations are carried out at three values of the lattice spacing ranging from ∼0.068 to ∼0.092 fm with linear lattice size up to L∼5.5 fm. The scale is set by the particle data group (PDG) value of the pion decay constant, fπISOQCD=130.4(2) MeV, at the ISOQCD pion point, MπISOQCD=135.0(2) MeV, obtaining for the gradient-flow scales the values w0=0.17383(63) fm, t0=0.14436(61) fm and t0/w0=0.11969(62) fm. The data are analyzed within the framework of SU(2) chiral perturbation theory without resorting to the use of renormalized quark masses. At the ISOQCD kaon point MKISOQCD=494.2(4) MeV we get (fK/fπ)ISOQCD=1.1995(44), where the error includes both statistical and systematic uncertainties. Implications for the Cabibbo-Kobayashi-Maskawa matrix element |Vus| and for the first-row Cabibbo-Kobayashi-Maskawa unitarity are discussed.

关键词： Lattice field theory Leptonic, semileptonic & radiative decays Kaons Pions Lattice QCD

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Gradient flow scale-setting with Nf = 2 + 1 + 1 Wilson-clover twisted-mass fermions

arXiv

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arXiv 2021年

作者： Alexandrou, C. Bacchio, S. Bergner, G. Dimopoulos, P. Finkenrath, J. Frezzotti, R. Garofalo, M. Kostrzewa, Bartosz Koutsou, G. labus, P. Sanfilippo, F. Simula, S. Ueding, M. Urbach, C. Wenger, U. Department of Physics University of Cyprus Nicosia20537 Cyprus Computation-based Science and Technology Research Center Cyprus Institute 20 Konstantinou Kavafi Street Nicosia2121 Cyprus University of Jena Institute for Theoretical Physics Max-Wien-Platz 1 JenaD-07743 Germany ParmaI-43124 Italy Dipartimento di Fisica Università di Roma "Tor Vergata" and INFN Sezione di Tor Vergata Via della Ricerca Scientifica 1 RomaI-00133 Italy Rheinische Friedrich-Wilhelms-Universität Bonn Nussallee 14-16 BonnD-53115 Germany Dipartimento di Fisica Università Roma Tre and INFN Sezione di Roma Tre Via della Vasca Navale 84 RomeI-00146 Italy ℎHigh Performance Computing and Analytics Lab Rheinische Friedrich-Wilhelms-Universität Bonn Friedrich-Hirzebruch-Allee 8 BonnD-53115 Germany Fraunhofer-Platz 1 KaiserslauternD-67663 Germany Istituto Nazionale di Fisica Nucleare Sezione di Roma Tre Via della Vasca Navale 84 RomeI-00146 Italy Institute for Theoretical Physics Albert Einstein Center for Fundamental Physics University of Bern Sidlerstrasse 5 BernCH-3012 Switzerland

We present a determination of the gradient flow scales w0, √T0 and T0/w0 in isosymmetric QCD, making use of the gauge ensembles produced by the Extended Twisted Mass Collaboration (ETMC) with N = 2 + 1 + 1 flavours of Wilson-clover twisted-mass quarks including configurations close to the physical point for all dynamical flavours. The simulations are carried out at three values of the lattice spacing and the scale is set through the PDG value of the pion decay constant, yielding w0 = 0.17383(63) fm, √T0 = 0.14436(61) fm and T0/w0 = 0.11969(62) fm. Finally, fixing the kaon mass to its isosymmetric value, we determine the ratio of the kaon and pion leptonic decay constants to be fK / f = 1.1995(44). © 2021, CC BY-NC-ND.

关键词： Hadrons

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