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Nucleon axial and pseudoscalar form factors using twisted-mass fermion ensembles at the physical point

Physical Review D 2024年第3期109卷 034503-034503页

作者： Constantia Alexandrou Simone Bacchio Martha Constantinou Jacob Finkenrath Roberto Frezzotti Bartosz Kostrzewa Giannis Koutsou Gregoris Spanoudes Carsten Urbach Department of Physics University of Cyprus P.O. Box 20537 1678 Nicosia Cyprus Computation-based Science and Technology Research Center The Cyprus Institute Nicosia Cyprus Department of Physics Temple University Philadelphia Pennsylvania 19122-1801 USA University of Wuppertal Wuppertal Germany Dipartimento di Fisica and INFN Università di Roma “Tor Vergata” Via della Ricerca Scientifica 1 I-00133 Roma Italy High Performance Computing and Analytics Lab Rheinische Friedrich-Wilhelms-Universität Bonn Friedrich-Hirzebruch-Allee 8 53115 Bonn Germany HISKP (Theory) Rheinische Friedrich-Wilhelms-Universität Bonn Nussallee 14-16 53115 Bonn Germany

We compute the nucleon axial and pseudoscalar form factors using three Nf=2+1+1 twisted-mass fermion ensembles with all quark masses tuned to approximately their physical values. The values of the lattice spacings of these three physical point ensembles are 0.080, 0.068, and 0.057 fm and spatial sizes 5.1, 5.44, and 5.47 fm, respectively, yielding mπL>3.6. Convergence to the ground-state matrix elements is assessed using multistate fits. We study the momentum dependence of the three form factors and check the partially conserved axial-vector current (PCAC) hypothesis and the pion pole dominance (PPD). We show that in the continuum limit, the PCAC and PPD relations are satisfied. We also show that the Goldberger-Treimann relation is approximately fulfilled and determine the Goldberger-Treiman discrepancy. Our final results are gA=1.245(28)(14) for the nucleon axial charge, ⟨rA2⟩=0.339(48)(06)fm2 for the axial radius, gπNN≡limQ2→−mπ2GπNN(Q2)=13.25(67)(69) for the pion-nucleon coupling constant, and GP(0.88mμ2)≡gP*=8.99(39)(49) for the induced pseudoscalar form factor at the muon capture point.

关键词： Lattice QCD Lattice field theory Nuclear structure & decays Particle interactions Strong interaction

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Pseudoscalar-pole contributions to the muon g - 2 at the physical point 39

Pseudoscalar-pole contributions to the muon g - 2 at the phy...

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39th International Symposium on Lattice Field Theory, LATTICE 2022

作者： Burri, S. Kanwar, G. Alexandrou, C. Bacchio, S. Bergner, G. Finkenrath, J. Gasbarro, A. Hadjiyiannakou, K. Jansen, K. Kostrzewa, B. Koutsou, G. Ottnad, K. Petschlies, M. Pittler, F. Steffens, F. Urbach, C. Wenger, U. Albert Einstein Center for Fundamental Physics Institute for Theoretical Physics University of Bern Sidlerstrasse 5 BernCH-3012 Switzerland 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 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

Pseudoscalar-pole diagrams are an important component of estimates of the hadronic light-by-light (HLbL) contribution to the muon g - 2. We report on our computation of the transition form factors FP→γ*γ* for the neutral pseudoscalar mesons P = π0 and η. The calculation is performed using twisted-mass lattice QCD with physical quark masses. On the lattice, we have access to a broad range of (space-like) photon four-momenta and therefore produce form factor data complementary to the experimentally accessible single-virtual direction, which directly leads to an estimate of the pion- and η-pole components of the muon g - 2. For the pion, our result for the g - 2 contribution in the continuum is comparable with previous lattice and data-driven determinations, with combined relative uncertainties below 10%. For the η meson, we report on a preliminary determination from a single lattice spacing. © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).

关键词： Poles

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Pion-pole contribution to HLbL from twisted mass lattice QCD at the physical point 38

Pion-pole contribution to HLbL from twisted mass lattice QCD...

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38th International Symposium on Lattice Field Theory, LATTICE 2021

作者： Burri, S. Alexandrou, C. Bacchio, S. Bergner, G. Finkenrath, J. Gasbarro, A. Hadjiyiannakou, K. Jansen, K. Kostrzewa, B. Koutsou, G. Ottnad, K. Petschlies, M. Pittler, F. Steffen, F. Urbach, C. Wenger, U. Albert Einstein Center for Fundamental Physics Institute for Theoretical Physics University of Bern Sidlerstrasse 5 BernCH-3012 Switzerland 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 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

We report on our computation of the pion transition form factor Fπ→γ∗γ∗ from twisted mass lattice QCD in order to determine the numerically dominant light pseudoscalar pole contribution in the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon aµ = (g − 2)µ. The pion transition form factor is computed directly at the physical point. We present first results for our estimate of the pion-pole contribution with kinematic setup for the pion at rest. © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0)

关键词： Quantum theory

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Quark and gluon momentum fractions in the pion and in the kaon

arXiv

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arXiv 2024年

作者： Alexandrou, Constantia Bacchio, Simone Constantinou, Martha Delmar, Joseph Finkenrath, Jacob Kostrzewa, Bartosz Petschlies, Marcus Chacon, Luis Alberto Rodriguez Spanoudes, Gregoris Steffens, Fernanda Urbach, Carsten Wenger, Urs Department of Physics University of Cyprus Nicosia Cyprus Computation-based Science and Technology Research Center The Cyprus Institute Nicosia Cyprus Department of Physics Temple University PhiladelphiaPA19122 - 1801 United States Department of Physics Bergische Universität Wuppertal Gaußstraße 20 Wuppertal42119 Germany High Performance Computing and Analytics Lab Rheinische Friedrich-Wilhelms-Universität Bonn Germany Helmholtz-Institut für Strahlen- und Kernphysik University of Bonn Germany Bethe Center for Theoretical Physics University of Bonn Germany University of Ferrara Ferrara Italy Institute for Theoretical Physics Albert Einstein Center for Fundamental Physics University of Bern Switzerland

We present the full decomposition of the momentum fraction carried by quarks and gluons in the pion and the kaon. We employ three gauge ensembles generated with Nf = 2 + 1 + 1 Wilson twisted-mass clover-improved fermions at the physical quark masses. For both mesons we perform a continuum extrapolation directly at the physical pion mass, which allows us to determine for the first time the momentum decomposition at the physical point. We find that the total momentum fraction carried by quarks is 0.532(56) and_ 0.618(32) and by gluons 0.388(49) and 0.408(61) in the pion and in the kaon, respectively, in the MS scheme and at the renormalization scale of 2 GeV. Having computed both the quark and gluon contributions in the continuum limit, we find that the momentum sum is 0.926(68) for the pion and 1.046(90) for the kaon, verifying the momentum sum rule. © 2024, CC BY.

关键词： Momentum

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Quark and Gluon Momentum Fractions in the Pion from Nf=2+1+1 Lattice QCD

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Physical Review Letters 2021年第25期127卷 252001-252001页

作者： Constantia Alexandrou Simone Bacchio Georg Bergner Jacob Finkenrath Andrew Gasbarro Kyriakos Hadjiyiannakou Karl Jansen Bartosz Kostrzewa Konstantin Ottnad Marcus Petschlies Ferenc Pittler Fernanda Steffens Carsten Urbach Urs Wenger Department of Physics University of Cyprus Nicosia 2109 Cyprus Computation-based Science and Technology Research Center The Cyprus Institute Nicosia 2121 Cyprus Institute of Theoretical Physics Friedrich Schiller University Jena Jena 07743 Germany Albert Einstein Center Institute for Theoretical Physics University of Bern Bern CH-3012 Switzerland NIC DESY Zeuthen 15738 Germany High Performance Computing and Analytics Lab Rheinische Friedrich-Wilhelms-Universität Bonn Bonn 53115 Germany PRISMA+ Cluster of Excellence and Institut für Kernphysik Johannes Gutenberg-Universität Mainz Mainz 55099 Germany Helmholtz-Institut für Strahlen- und Kernphysik University of Bonn Bonn 53115 Germany Bethe Center for Theoretical Physics University of Bonn Bonn 53115 Germany Department of Theoretical Physics CERN Geneva CH-1211 Switzerland

We perform the first full decomposition of the pion momentum into its gluon and quark contributions. We employ an ensemble generated by the Extended Twisted Mass Collaboration with Nf=2+1+1 Wilson twisted mass clover fermions at maximal twist tuned to reproduce the physical pion mass. We present our results in the MS¯ scheme at 2 GeV. We find ⟨x⟩u+d=0.601(28), ⟨x⟩s=0.059(13), ⟨x⟩c=0.019(05), and ⟨x⟩g=0.52(11) for the separate contributions, respectively, whose sum saturates the momentum sum rule.

关键词： Lattice QCD Quantum chromodynamics

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Quark and gluon momentum fractions in the pion from Nf = 2 + 1 + 1 lattice QCD

arXiv

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arXiv 2021年

作者： Alexandrou, Constantia Bacchio, Simone Bergner, Georg Finkenrath, Jacob Gasbarro, Andrew Hadjiyiannakou, Kyriakos Jansen, Karl Kostrzewa, Bartosz Ottnad, Konstantin Petschlies, Marcus Pittler, Ferenc Steffens, Fernanda M. Urbach, Carsten Wenger, Urs Department of Physics University of Cyprus Nicosia Cyprus Computation-Based Science and Technology Research Center The Cyprus Institute Nicosia Cyprus Institute of Theoretical Physics Friedrich Schiller University Jena Germany Albert Einstein Center Institute for Theoretical Physics University of Bern Switzerland NIC DESY Zeuthen Germany High Performance Computing and Analytics Lab Rheinische Friedrich-Wilhelms-Universität Bonn Germany PRISMA+ Cluster of Excellence and Institut für Kernphysik Johannes Gutenberg-Universität Mainz Germany Helmholtz-Institut für Strahlen- und Kernphysik University of Bonn Germany Bethe Center for Theoretical Physics University of Bonn Germany Department of Theoretical Physics CERN Geneva Switzerland

We perform the first full decomposition of the pion momentum into its gluon and quark contributions. We employ an ensemble generated by the Extended Twisted Mass Collaboration with Nf = 2 + 1 + 1 Wilson twisted mass clover fermions at maximal twist tuned to reproduce the physical pion mass. We present our results in the MS scheme at 2 GeV. We find 〈 x〉u+d = 0.601(28), 〈x〉s = 0.059(13), 〈x〉c = 0.019(05), and 〈x〉g = 0.52(11) for the separate contributions, respectively, whose sum saturates the momentum sum rule. Copyright © 2021, The Authors. All rights reserved.

关键词： Hadrons

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Nucleon axial and pseudoscalar form factors using twisted-mass fermion ensembles at the physical point

arXiv

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arXiv 2023年

作者： Alexandrou, Constantia Bacchio, Simone Constantinou, Martha Finkenrath, Jacob Frezzotti, Roberto Kostrzewa, Bartosz Koutsou, Giannis Spanoudes, Gregoris Urbach, Carsten Department of Physics University of Cyprus P.O. Box 20537 Nicosia1678 Cyprus Computation-based Science and Technology Research Center The Cyprus Institute Nicosia Cyprus Department of Physics Temple University PhiladelphiaPA19122 - 1801 United States University of Wuppertal Wuppertal Germany Dipartimento di Fisica INFN Università di Roma "Tor Vergata" Via della Ricerca Scientifica 1 RomaI-00133 Italy High Performance Computing and Analytics Lab Rheinische Friedrich-Wilhelms-Universität Bonn Friedrich-Hirzebruch-Allee 8 Bonn53115 Germany Rheinische Friedrich-Wilhelms-Universität Bonn Nussallee 14-16 Bonn53115 Germany

We compute the nucleon axial and pseudoscalar form factors using three Nf = 2 + 1 + 1 twisted mass fermion ensembles with all quark masses tuned to approximately their physical values. The values of the lattice spacings of these three physical point ensembles are 0.080 fm, 0.068 fm and 0.057 fm, and spatial sizes 5.1 fm, 5.44 fm, and 5.47 fm, respectively, yielding mπL > 3.6. Convergence to the ground state matrix elements is assessed using multi-state fits. We study the momentum dependence of the three form factors and check the partially conserved axial-vector current (PCAC) hypothesis and the pion pole dominance (PPD). We show that in the continuum limit, the PCAC and PPD relations are satisfied. We also show that the Goldberger-Treimann relation is approximately fulfilled and determine the Goldberger-Treiman discrepancy. We find for the nucleon axial charge gA = 1.245(28)(14), for the axial radius 〈rA2 〉 = 0.339(48)(06) fm2, for the pion-nucleon coupling constant gπNN ≡ limQ2→−m2π GπNN(Q2) = 13.25(67)(69) and for GP(0.88m2µ) ≡ gP∗ = 8.99(39)(49). © 2023, CC BY.

关键词： Ground state

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Time windows of the muon HVP from twisted-mass lattice QCD 39

Time windows of the muon HVP from twisted-mass lattice QCD

引用

39th International Symposium on Lattice Field Theory, LATTICE 2022

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, aHVPμ, in the so-called short and intermediate time-distance windows, aSDμ and aWμ. We employ gauge ensembles produced by the Extended Twisted Mass Collaboration (ETMC) with Nf = 2 + 1 + 1 flavours of Wilson-clover twisted-mass quarks with masses of all the dynamical quark flavours 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 aSD = 69.27 (34) · 10-10, in agreement with the dispersive determination based on experimental μ e+e- data. For the intermediate window we get instead aWμ = 236.3 (1.3) · 10-10, which is consistent with recent determinations by other lattice collaborations, but disagrees with the dispersive determination at the level of 3.6 σ. © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).

关键词： Magnetic moments

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Short & intermediate distance HVP contributions to muon g-2: SM (lattice) prediction versus e+e- annihilation data 41

Short & intermediate distance HVP contributions to muon g-2:...

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41st International Conference on high Energy Physics, ICHEP 2022

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 Università di Roma "Tor Vergata" INFN Sezione di Roma Tor Vergata Via della Ricerca Scientifica 1 RomeI-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 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 new lattice results of the ETM Collaboration, obtained from extensive simulations of lattice QCD with dynamical up, down, strange and charm quarks at physical mass values, different volumes and lattice spacings, concerning the SM prediction for the so-called intermediate window (W) and short-distance (SD) contributions to the leading order hadronic vacuum polarization (LO-HVP) term of the muon anomalous magnetic moment, aµ. Results for aµLO−HVP,W and aµLO−HVP,SD, besides representing a step forward to a complete lattice computation of aµLO−HVP and a useful benchmark among lattice groups, are compared here with their dispersive counterparts based on experimental data for e+e− into hadrons. The comparison confirms the tension in aµLO−HVP,W, already noted in 2020 by the BMW Collaboration, while showing no tension in aµLO−HVP,SD © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0)

关键词： Magnetic moments

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Lattice calculation of the R-ratio smeared with Gaussian kernels 39

Lattice calculation of the R-ratio smeared with Gaussian ker...

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39th International Symposium on Lattice Field Theory, LATTICE 2022

作者： Alexandrou, C. Bacchio, S. De Santis, A. Dimopoulos, P. Finkenrath, J. Frezzotti, R. Gagliardi, G. Garofalo, M. Hadjiyiannakou, K. Kostrzewa, B. Jansen, K. Lubicz, V. Petschlies, M. 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 Parma43124 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

The ratio R(E) of the cross-sections for e+e- → hadrons and e+e- → μ+ μ- is a valuable energy-dependent probe of the hadronic sector of the Standard Model. Moreover, the experimental measurements of R(E) are the inputs of the dispersive calculations of the leading hadronic vacuum polarization contribution to the muon g - 2 and these are in significant tension with direct lattice calculations and with the muon g - 2 experiment. In this talk we discuss the results of our first-principles lattice study of R(E). By using a recently proposed method for extracting smeared spectral densities from Euclidean lattice correlators, we have calculated R(E) convoluted with Gaussian kernels of different widths σ and central energies up to 2.5 GeV. Our theoretical results have been compared with the KNT19 [1] compilation of experimental results smeared with the same Gaussian kernels and a tension (about three standard deviations) has been observed for σ ∼ 600 MeV and central energies around the ρ-resonance peak. © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).

关键词： Correlators

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