Particlelike wave packets in complex scattering systems

Gérardin, Benoît; Laurent, J.; Ambichl, Philipp; Prada, Claire; Rotter, Stefan; Aubry, Alexandre

doi:10.1103/physrevb.94.014209

Cited by 41 publications

(71 citation statements)

References 53 publications

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“…Although a strict comparison with other determinations of this improvement coefficient is not possible, it is interesting to note that compared to other computations , e.g. [26] and for n f = 0, 2, [27] the value determined here is much closer to its tree level value eq. (89).…”

Section: Fan Plotssupporting

confidence: 52%

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Patterns of flavor symmetry breaking in hadron matrix elements involving u , d , and s quarks

et al. 2019

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By considering a flavour expansion about the SU (3)-flavour symmetric point, we investigate how flavour-blindness constrains octet baryon matrix elements after SU (3) is broken by the mass difference between quarks. Similarly to hadron masses we find the expansions to be constrained along a mass trajectory where the singlet quark mass is held constant, which provides invaluable insight into the mechanism of flavour symmetry breaking and proves beneficial for extrapolations to the physical point. Expansions are given up to third order in the expansion parameters. Considering higher orders would give no further constraints on the expansion parameters. The relation of the expansion coefficients to the quark-line-connected and quark-line disconnected terms in the 3-point correlation functions is also given. As we consider Wilson clover-like fermions, the addition of improvement coefficients is also discussed and shown to be included in the formalism developed here. As an example of the method we investigate this numerically via a lattice calculation of the flavour-conserving matrix elements of the vector first class form factors. Determination ofẐ

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Section: Fan Plotssupporting

confidence: 52%

“…Again, for illustration, we shall only consider the diagonal sector (B = B) of the vector current here. By using the results and notation in [11] (see also [26]) we have for on-shell improvement…”

Section: General Commentsmentioning

confidence: 99%

Patterns of flavor symmetry breaking in hadron matrix elements involving u , d , and s quarks

et al. 2019

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“…[49] as well as values of κ crit determined in Ref. [50]. The final, O(a)-improved renormalization factors are then dependent on the bare coupling constant g 0 as well as on the quark mass m q = 1 2a ( 1 κq − 1 κcrit ) where q = l, s and the average quark massm = 1 3 (2m l + m s )…”

Section: The Values Of Z Sfmentioning

confidence: 87%

Nucleon isovector charges and twist-2 matrix elements with Nf=2+1 dynamical Wilson quarks

et al. 2019

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We present results from a lattice QCD study of nucleon matrix elements at zero momentum transfer for local and twist-2 isovector operator insertions. Computations are performed on gauge ensembles with non-perturbatively improved N f = 2 + 1 Wilson fermions, covering four values of the lattice spacing and pion masses down to Mπ ≈ 200 MeV. Several source-sink separations (typically ∼ 1.0 fm to ∼ 1.5 fm) allow us to assess excited-state contamination. Results on individual ensembles are obtained from simultaneous two-state fits across all observables and all available source-sink separations with the energy gap as a common fit parameter. Physical results are obtained from a combined chiral, continuum and finite-size extrapolation. For the nucleon isovector axial, scalar and tensor charges we find physical values of g u−d A = 1.242(25)stat( +00 −31 )sys, g u−d S = 1.13(11)stat( +07 −06 )sys and g u−d T = 0.965(38)stat( +13 −41 )sys, respectively, where individual systematic errors in each direction from the chiral, continuum and finite-size extrapolation have been added in quadrature. Our final results for the isovector average quark momentum fraction and the isovector helicity and transversity moments are given by x u−d = 0.180(25)stat( +14 −06 )sys, x ∆u−∆d = 0.221(25)stat( +10 −00 )sys and x δu−δd = 0.212(32)stat( +16 −10 )sys, respectively.

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“…We denote by V L,0 µ = 1 2ψ γ µ ψ the flavour-singlet current, and the mass-dependent renormalization factors are given by [33,34]…”

Section: Lattice Correlators Renormalization and O(a) Improvementmentioning

confidence: 99%

Leading hadronic contribution to (g−2)μ from lattice QCD with Nf

et al. 2019

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The comparison of the theoretical and experimental determinations of the anomalous magnetic moment of the muon (g − 2) µ constitutes one of the strongest tests of the Standard Model at low energies. In this article, we compute the leading hadronic contribution to (g − 2) µ using lattice QCD simulations employing Wilson quarks. Gauge field ensembles at four different lattice spacings and several values of the pion mass down to its physical value are used. We apply the O(a) improvement programme with two discretizations of the vector current to better constrain the approach to the continuum limit. The electromagnetic current correlators are computed in the time-momentum representation. In addition, we perform auxiliary calculations of the pion form factor at timelike momenta in order to better constrain the tail of the isovector correlator and to correct its dominant finite-size effect. For the numerically dominant light-quark contribution, we have rescaled the lepton mass by the pion decay constant computed on each lattice ensemble. We perform a combined chiral and continuum extrapolation to the physical point, and our final result is a hvp µ = (720.0 ± 12.4 stat ± 9.9 syst ) · 10 −10 . It contains the contributions of quarkdisconnected diagrams, and the systematic error has been enlarged to account for the missing isospin-breaking effects.

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Particlelike wave packets in complex scattering systems

Cited by 41 publications

References 53 publications

Patterns of flavor symmetry breaking in hadron matrix elements involving u , d , and s quarks

Patterns of flavor symmetry breaking in hadron matrix elements involving u , d , and s quarks

Nucleon isovector charges and twist-2 matrix elements with Nf=2+1 dynamical Wilson quarks

Leading hadronic contribution to (g−2)μ from lattice QCD with Nf

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