Nucleon distribution amplitudes and proton decay matrix elements on the lattice

Braun, Vladimir M.; Göckeler, M.; Horsley, R.; Kaltenbrunner, Thomas; Nakamura, Y.; Pleiter, D.; Rakow, P. E. L.; Schäfer, Andreas; Schierholz, G.; Stüben, H.; Warkentin, Nikolaus; Zanotti, J. M.

doi:10.1103/physrevd.79.034504

Cited by 64 publications

(71 citation statements)

References 53 publications

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“…where φ is a placeholder for any of the wave function normalization constants defined in Section 2.2 or for any DA moment defined in Eqs. (8).…”

Section: Global Analysismentioning

confidence: 99%

“…This article is the capstone of a long-term effort to determine baryon distribution amplitudes from lattice QCD using dynamical clover fermions. This project began more than a decade ago with the N f = 2 studies of nucleon DAs [7,8] and subsequently also explored the negative parity partner of the nucleon [9][10][11][12]. The new N f = 2 + 1 ensembles generated more recently within the CLS (Coordinated Lattice Simulations) effort [13] 1 include dynamical strange quarks and have recently allowed for a first determination of hyperon distribution amplitudes [14] on four ensembles at a single lattice spacing.…”

Section: Introductionmentioning

confidence: 99%

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Light-cone distribution amplitudes of octet baryons from lattice QCD

et al. 2019

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We present lattice QCD results for the wave function normalization constants and the first moments of the distribution amplitudes for the lowest-lying baryon octet. The analysis is based on a large number of N f = 2 + 1 ensembles comprising multiple trajectories in the quark mass plane including physical pion (and kaon) masses, large volumes, and, most importantly, five different lattice spacings down to a = 0.039 fm. This allows us to perform a controlled extrapolation to the continuum and infinite volume limits by a simultaneous fit to all available data. We demonstrate that the formerly observed violation of flavor symmetry breaking constraints can, indeed, be attributed to discretization effects that vanish in the continuum limit.

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“…where φ is a placeholder for any of the wave function normalization constants defined in Section 2.2 or for any DA moment defined in Eqs. (8).…”

Section: Global Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Light-cone distribution amplitudes of octet baryons from lattice QCD

et al. 2019

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“…Concerning the proton's leading-twist PDA, however, the situation is as unsatisfactory today as it was for mesons ten years ago. Estimates of low-order Mellin moments exist, obtained using sum rules [14,15] or lattice-QCD (lQCD) [16][17][18], but there are no quantum field theory computations of this PDA's pointwise behaviour; and nothing is known about the PDA of the proton's radial excitation. These issues are addressed herein.…”

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confidence: 99%

Parton distribution amplitudes: Revealing correlations within the proton and Roper

et al. 2018

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We present the first quantum field theory calculation of the pointwise behaviour of the leadingtwist parton distribution amplitudes (PDAs) of the proton and its lightest radial excitation. The proton's PDA is a broad, concave function, whose maximum is shifted relative to the peak in QCD's conformal limit expression for this PDA; an effect which signals the presence of both scalar and pseudovector diquark correlations in the nucleon, with the scalar generating around 60% of the proton's normalisation. The radial-excitation is constituted similarly, and the pointwise form of its PDA, which is negative on a material domain, is the result of marked interferences between the contributions from both types of diquark; particularly, the locus of zeros that highlights its character as a radial excitation. These features originate with the emergent phenomenon of dynamical chiralsymmetry breaking in the Standard Model.

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“…Progress report: Since 1980s, LQCD has come a long way to compute the MEs relevant to proton decay [53][54][55][57][58][59][60]. Uncontrolled systematic uncertainties in early calculations arising from the"quenched approximation", chiral-symmetry violation, quark-mass extrapolation, and reliance on leading-order baryon χPT have been accounted for in state-of-the-art present-day calculations.…”

Section: Baryon-number Nonconservation and Proton Decaymentioning

confidence: 99%

The role of Lattice QCD in searches for violations of fundamental symmetries and signals for new physics

et al. 2019

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Executive summary 2 BSM scenarios may involve new particles and interactions that originate at very high-energy scales, or alternatively may involve new physics at relatively low scales with extremely feeble couplings [10]. This whitepaper focuses on the former class of BSM scenarios, for which an effective field theory (EFT) framework can be adopted to encompass all SM extensions that respect the SM gauge group and have the same low-energy particle content as the SM [11][12][13]. One challenge that often needs to be dealt with in carrying out the program in Fundamental Symmetries is that the SM processes that are sensitive to new physics often involve hadrons and nuclei as initial, final, and/or intermediate states at low energies, demanding that SM and ab initio quantum many-body calculations be performed in a highly nonperturbative regime.The Department of Energy (DOE)-funded USQCD collaboration, as the unified collaboration of the majority of the LQCD collaborations in the U.S., has long identified the role of LQCD studies in enabling and advancing research at the Intensity Frontier. The significant results produced by the collaboration in the past two decades in constraining the Cabibbo-Kobayashi-Maskawa (CKM) matrix quark-mixing matrix of the SM, and in constraining the quantities relevant to tests of CP violation in the Kaon sector, mark major accomplishments for the LQCD community, and signify the essential role of LQCD in complimenting both experiment and theory effort in HEP research. Such a role has been identified in other sectors in which there is, or is expected to be, hints of deviation from the SM and of new physics. In particular, compared to the year 2013 when the Collaboration's previous whitepapers were released, in 2018 the Collaboration has dedicated three separate whitepapers to the role of LQCD in research at the Intensity Frontier: 1 i) Opportunities for LQCD in quark and lepton flavor physics: Given the persisting tensions between theoretical predictions based on the SM and and experimental measurements in B meson decays at the LHC-B and the anomalous magnetic moment of the muon at the Brookhaven National Laboratory, and the continuing improvement in determinations of the CP violating parameters in Kaon and recently the heavy-meson sectors, there is a pressing need for reliable SM predictions of corresponding quantities from LQCD, to a precision level that is comparable to experimental determinations. Progress made by the USQCD collaboration in all these areas, the challenges ahead, and the plans forward are detailed in a companion whitepaper, see [6].ii) LQCD and neutrino-nucleus scattering: The large experimental enterprise in neutrino physics, in particular the upcoming Deep Underground Neutrino Experiment (DUNE) at Fermilab aims to shed light on CP violation in the lepton sector. However, reliable determinations of the Pontecorvo-Maki-Nakagawa-Sakata (PMNS) lepton-mixing matrix require accurate knowledge of neutrino-nucleus interactions. The neutrino-nucleon and neutrinonucleus scatt...

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Nucleon distribution amplitudes and proton decay matrix elements on the lattice

Cited by 64 publications

References 53 publications

Light-cone distribution amplitudes of octet baryons from lattice QCD

Light-cone distribution amplitudes of octet baryons from lattice QCD

Parton distribution amplitudes: Revealing correlations within the proton and Roper

The role of Lattice QCD in searches for violations of fundamental symmetries and signals for new physics

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