The Chiral Lagrangian parameters, ℓ1, ℓ2,
نویسندگان
چکیده
The all–important consequence of Chiral Dynamics for ππ scattering is the Adler zero, which forces ππ amplitudes to grow asymptotically. The continuation of this subthreshold zero into the physical regions requires a P –wave resonance, to be identified with the ρ. It is a feature of ππ scattering that convergent dispersive integrals for the I = 1 channel are essentially saturated by the ρ–resonance and are much larger than those with I = 2 quantum numbers. These facts predict the parameters ℓ 1 , ℓ 2 of the Gasser–Leutwyler Chiral Lagrangian, as well as reproducing the well–known KSFR relation and self-consistently generating the ρ−resonance.
منابع مشابه
Coordinate Descent Algorithms for Lasso Penalized Regression
Imposition of a lasso penalty shrinks parameter estimates toward zero and performs continuous model selection. Lasso penalized regression is capable of handling linear regression problems where the number of predictors far exceeds the number of cases. This paper tests two exceptionally fast algorithms for estimating regression coefficients with a lasso penalty. The previously known ℓ2 algorithm...
متن کاملAccelerated Bregman Method for Linearly Constrained ℓ1-ℓ2 Minimization
We consider the linearly constrained `1-`2 minimization and propose the accelerated Bregman method for solving this minimization problem. The proposed method is based on the extrapolation technique, which is used in accelerated proximal gradient methods studied by Nesterov, Nemirovski, and others, and the equivalence between the Bregman method and the augmented Lagrangian method. O( 1 k2 ) conv...
متن کاملRegularization Paths for Cox's Proportional Hazards Model via Coordinate Descent.
We introduce a pathwise algorithm for the Cox proportional hazards model, regularized by convex combinations of ℓ1 and ℓ2 penalties (elastic net). Our algorithm fits via cyclical coordinate descent, and employs warm starts to find a solution along a regularization path. We demonstrate the efficacy of our algorithm on real and simulated data sets, and find considerable speedup between our algori...
متن کاملThe Electroweak Chiral Lagrangian and New Precision Measurements
A revised and complete list of the electroweak chiral lagrangian operators up to dimension-four is provided. The connection of these operators to the S, T and U parameters and the parameters describing the triple gauge boson vertices WWγ and WWZ is made, and the size of these parameters from new heavy physics is estimated using a one flavor-doublet model of heavy fermions. The coefficients of t...
متن کاملQuantitative oxygenation venography from MRI phase.
PURPOSE To demonstrate acquisition and processing methods for quantitative oxygenation venograms that map in vivo oxygen saturation (SvO2 ) along cerebral venous vasculature. METHODS Regularized quantitative susceptibility mapping (QSM) is used to reconstruct susceptibility values and estimate SvO2 in veins. QSM with ℓ1 and ℓ2 regularization are compared in numerical simulations of vessel str...
متن کامل