Calculation of the neutron electric dipole moment with two dynamical flavors of domain wall fermions

Neutral B meson mixing matrix elements and B meson decay constants are calculated. Static approximation is used for b quark and domain-wall fermion formalism is employed for light quarks. The calculations are carried out on 2 + 1 flavor dynamical ensembles generated by RBC/UKQCD Collaborations with lattice spacings 0.086 fm (a −1 ∼ 2.3 GeV) and 0.11 fm (1.7 GeV), and a fixed physical spatial volume of about (2.7 fm) 3 . In the static quark action, link-smearings are used to improve the signal-to-noise ratio. We employ two kinds of link-smearings, HYP1 and HYP2, and their results are combined in taking the continuum limit. For the matching between the lattice and the continuum theory, one-loop perturbative O(a) improvements are made to reduce discretization errors. As the most important quantity of this work, we obtain SU (3)

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“…We follow the smearing procedure in Refs. [41,42]. We choose a Gaussian function with width ω as a smearing function in Eq.…”

Section: B Source and Sink Smearingmentioning

confidence: 99%

NeutralBmeson mixings andBmeson decay constants with static heavy and domain-wall light quarks

et al. 2015

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“…We employ gauge-invariant Gaussian smearing at the source with smearing parameters (N, ω) = (100, 7), which were chosen after a series of pilot calculations, as described in Ref. [49]. For the calculation of the three-point functions, we use a time separation of 12 timeslices between the source and sink operators to reduce effects from excited state contributions as much as possible.…”

Section: B Correlation Functionsmentioning

confidence: 99%

Nucleon form factors with2+1flavor dynamical domain-wall fermions

et al. 2009

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We report our numerical lattice QCD calculations of the isovector nucleon form factors for the vector and axialvector currents: the vector, induced tensor, axialvector, and induced pseudoscalar form factors. The calculation is carried out with the gauge configurations generated with N f = 2+1 dynamical domain wall fermions and Iwasaki gauge actions at β = 2.13, corresponding to a cutoff a −1 = 1.73 GeV, and a spatial volume of (2.7 fm) 3 . The up and down quark masses are varied so the pion mass lies between 0.33 and 0.67 GeV while the strange quark mass is about 12 % heavier than the physical one. We calculate the form factors in the range of momentum transfers, 0.2 < q 2 < 0.75 GeV 2 . The vector and induced tensor form factors are well described by the conventional dipole forms and result in significant underestimation of the Dirac and Pauli meansquared radii and the anomalous magnetic moment compared to the respective experimental values.We show that the axialvector form factor is significantly affected by the finite spatial volume of the lattice. In particular in the axial charge, g A /g V , the finite volume effect scales with a single dimensionless quantity, m π L, the product of the calculated pion mass and the spatial lattice extent.Our results indicate that for this quantity, m π L > 6 is required to ensure that finite volume effects are below 1%.

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“…We employ gauge-invariant Gaussian smearing [37,38] at the source with smearing parameters ðN; !Þ ¼ ð100; 7Þ which were chosen after a series of pilot calculations. For the calculation of the three-point functions, we use a time separation of 12 time slices between the source and sink operators to reduce effects from excited-state contributions as much as possible.…”

Section: B Correlation Functionsmentioning

confidence: 99%

Nucleon isovector structure functions in (2+1)-flavor QCD with domain wall fermions

et al. 2010

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3. The right to use all or part of the Article, including the APS-prepared version without revision or modification, on the author(s)' web home page or employer's website and to make copies of all or part of the Article, including the APS-prepared version without revision or modification, for the author(s)' and/or the employer's use for educational or research purposes." 26th April 2013Nucleon isovector structure functions in (2 þ 1)-flavor QCD with domain wall fermions We report on numerical lattice QCD calculations of some of the low moments of the nucleon structure functions. The calculations are carried out with gauge configurations generated by the RBC and UKQCD Collaborations with (2 þ 1)-flavors of dynamical domain-wall fermions and the Iwasaki gauge action ( ¼ 2:13). The inverse lattice spacing is a À1 ¼ 1:73 GeV, and two spatial volumes of ð2:7 fmÞ 3 and ð1:8 fmÞ 3 are used. The up and down quark masses are varied so the pion mass lies between 0.33 and 0.67 GeV, while the strange mass is about 12% heavier than the physical one. The structure function moments we present include the fully nonperturbatively renormalized isovector quark momentum fraction hxi uÀd , the helicity fraction hxi ÁuÀÁd , and transversity h1i uÀ d , as well as an unrenormalized twist-3 coefficient d 1 . The ratio of the momentum to helicity fractions, hxi uÀd =hxi ÁuÀÁd , does not show dependence on the light quark mass and agrees well with the value obtained from experiment. Their respective absolute values, fully renormalized, show interesting trends toward their respective experimental values at the lightest quark mass. A prediction for the transversity, 0:7 < h1i uÀ d < 1:1, in the MS scheme at 2 GeV is obtained. The twist-3 coefficient, d 1 , though yet to be renormalized, supports the perturbative Wandzura-Wilczek relation.

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Calculation of the neutron electric dipole moment with two dynamical flavors of domain wall fermions

Cited by 94 publications

References 41 publications

NeutralBmeson mixings andBmeson decay constants with static heavy and domain-wall light quarks

NeutralBmeson mixings andBmeson decay constants with static heavy and domain-wall light quarks

Nucleon form factors with2+1flavor dynamical domain-wall fermions

Nucleon isovector structure functions in (2+1)-flavor QCD with domain wall fermions

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