Chiral<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>SU</mml:mi><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo>)</mml:mo><mml:mn /><mml:mo>⊗</mml:mo><mml:mi>SU</mml:mi><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo>)</mml:mo><mml:mn /></mml:math>as a Symmetry of the Strong Interactions

Dashen, Roger

doi:10.1103/physrev.183.1245

Cited by 673 publications

(486 citation statements)

References 24 publications

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“…Our quoted result of 2α 8 − α 5 = 0.287 ± 0.018 stat ± 0.18 syst comes from our hypercubic blocked 16 3 × 32 ensemble, where the reported systematic error is the result of adding in quadrature the determined effects of shifting the chiral cutoff (±0.12), hypercubic blocking (±0.05), doubling the lattice spacing (±0.11), and reducing the lattice volume (±0.06). Assuming Dashen's rule [18], this corresponds to ∆ M = −0.0897 ± 0.0313 and m u /m d = 0.484 ± 0.027, where the quoted error arises primarily from the systematic error of our measurement. The error from experimental input is negligible and the size of NNLO corrections to ∆ M are assumed to be on the order of ∆ 2 M .…”

Section: Resultsmentioning

confidence: 80%

Up Quark Mass in Lattice QCD with Three Light Dynamical Quarks and Implications for StrongCPInvariance

2003

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A standing mystery in the Standard Model is the unnatural smallness of the strong CP violating phase. A massless up quark has long been proposed as one potential solution. A lattice calculation of the constants of the chiral Lagrangian essential for the determination of the up quark mass, 2α8 −α5, is presented. We find 2α8 − α5 = 0.29 ± 0.18, which corresponds to mu/m d = 0.410 ± 0.036. This is the first such calculation using a physical number of dynamical light quarks, N f = 3.

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Section: Resultsmentioning

confidence: 80%

Up Quark Mass in Lattice QCD with Three Light Dynamical Quarks and Implications for StrongCPInvariance

2003

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“…Using Dashen's theorem [65], one may express the mixing angle in terms of the masses of the Goldstone bosons at LO in CHPT…”

Section: Tree-level Amplitudesmentioning

confidence: 99%

Effect of charmed meson loops on charmonium transitions

et al. 2011

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The effects of intermediate charmed mesons on charmonium transitions with the emission of one pion or eta are studied systematically. Based on a non-relativistic effective field theory we show that charmed meson loops are enhanced compared to the corresponding tree-level contributions for transitions between two S-wave charmonia as well as for transitions between two P -wave charmonia. On the contrary, for the transitions between one S-wave and one P -wave charmonium state, the loops need to be analyzed case by case and often appear to be suppressed. The relation to and possible implications for an effective Lagrangian approach are also discussed. This study at the same time provides a cross check for the numerical evaluations.

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“…Next, we employ Dashen's theorem [14] which asserts that electromagnetic contributions to the mass splittings m 2 K + − m 2 K 0 and m 2 π + − m 2 π 0 are identical in the chiral limit…”

Section: Construction Of the Chiral Effective Lagrangianmentioning

confidence: 99%