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Pade approximants (PA's) are constructed from the perturbative coefficients of the free energy through O(g^5) in hot QCD. Pade summation is shown to reduce the renormalization-scale dependence substantially even at temperature (T) as low as…

High Energy Physics - Phenomenology · Physics 2016-09-06 T. Hatsuda

Bethe-Salpeter equation is solved for bound state composed of two fermions mediated by pion exchange force of the pseudovector coupling. Expanding the amplitude by gamma matrices the one-dimensional integral equation is derived. It…

Nuclear Theory · Physics 2013-06-20 Susumu Kinpara

Spectral functions encode a wealth of information about the dynamics of any given system, and the determination of their non-perturbative characteristics is a long-standing problem in quantum field theory. Whilst numerical simulations of…

High Energy Physics - Lattice · Physics 2022-11-03 Peter Lowdon , Owe Philipsen

We summarize the present status of lattice gauge theory computations of the leptonic decay constants $f_D$ and $f_B$. The various sources of systematic errors are explained in a manner easily understood by the non--expert. The results…

High Energy Physics - Lattice · Physics 2009-10-22 Rainer Sommer

Using special linear combinations of finite energy sum rules which minimize the contribution of the unknown continuum spectral function, we compute the decay constants of the pseudoscalar mesons B and B_s. In the computation, we employ the…

High Energy Physics - Phenomenology · Physics 2011-01-27 J. Bordes , J. Peñarrocha , K. Schilcher

We have employed the framework of Bethe-Salpeter equation under covariant instantaneous ansatz to calculate leptonic decay constants of unequal mass pseudoscalar mesons like pi, K, D, Ds and B and radiative decay constants of neutral…

High Energy Physics - Phenomenology · Physics 2011-07-15 Shashank Bhatnagar , Shi-Yuan Li , Jorge Mahecha

We present a unitary relativistic quasi-potential model for describing the low-energy pion-nucleon interaction, based on the equal time Bethe-Salpeter equation. It preserves the covariant structure of a relativistic spin 1/2 particle for…

Nuclear Theory · Physics 2009-10-30 V. Pascalutsa , J. A. Tjon

A previous method for handling bound states in QCD is briefly revisited. Taking advantage of the Feynman-Schwinger representation for the iterated quark propagator in an external field, it is possible to give closed representations for…

High Energy Physics - Phenomenology · Physics 2017-08-23 M. Baldicchi , G. M. Prosperi

We compute various form factors involved in $B\to D^{(*)}$ transitions based on the perturbative QCD formalism, which includes Sudakov effects from the resummation of large radiative corrections in a heavy-light system. A two-parameter…

High Energy Physics - Phenomenology · Physics 2011-07-19 Chung-Yi Wu , Tsung-Wen Yeh , Hsiang-nan Li

Independent of assumptions about the form of the quark-quark scattering kernel, K, we derive the explicit relation between the flavour-nonsinglet pseudoscalar meson Bethe-Salpeter amplitude, Gamma_H, and the dressed-quark propagator in the…

Nuclear Theory · Physics 2008-11-26 P. Maris , C. D. Roberts

We compute the decay constants of the pseudoscalar mesons D and D_{s} using a linear combination of finite energy sum rules which minimize the contribution of the unknown continuum spectral function. We employ the recent three loop…

High Energy Physics - Phenomenology · Physics 2016-08-16 J. Bordes , J. Peñarrocha , K. Schilcher

The form factors for semi-leptonic B decays, $\bar{B}\to\pi l\bar{\nu}_l$, are calculated under collinear factorization approach. The end-point divergences are regularized by a $\xi$-regularization, where $\xi$ means the collinear fraction…

High Energy Physics - Phenomenology · Physics 2009-01-05 Tsung-Wen Yeh

We compute the complex, long-distance two-photon-exchange amplitude which contributes to the rare $K_{\rm L}\rightarrow\mu^+\mu^-$ decay from lattice QCD. We use a $24^3\times 64$ physical-pion-mass gauge field ensemble at an inverse…

High Energy Physics - Lattice · Physics 2025-11-06 Peter Boyle , En-Hung Chao , Norman Christ , Ceran Hu , Luchang Jin , Yidi Zhao

By globally analyzing all existing measured branching fractions for $D\to \pi e^+\nu_e$ decays, partial decay rates in different four momentum transfer-squared $q^2$ bins, as well as products of the decay form factor $f_+^\pi(q^2)$ and the…

High Energy Physics - Experiment · Physics 2015-06-23 G. Rong , Y. Fang , H. L. Ma , J. Y. Zhao

We report a direct lattice calculation of the $K$ to $\pi\pi$ decay matrix elements for both the $\Delta I=1/2$ and 3/2 amplitudes $A_0$ and $A_2$ on 2+1 flavor, domain wall fermion, $16^3\times32\times16$ lattices. This is a complete…

High Energy Physics - Lattice · Physics 2011-12-23 T. Blum , P. A. Boyle , N. H. Christ , N. Garron , E. Goode , T. Izubuchi , C. Lehner , Q. Liu , R. D. Mawhinney , C. T. Sachrajda , A. Soni , C. Sturm , H. Yin , R. Zhou

We have measured the $\pi^+\to {\rm e}^+\nu\gamma$ branching ratio over a wide region of phase space, based on a total of 65,460 events acquired using the PIBETA detector. Minimum-$\chi^2$ fits to the measured $(E_{e^+},E_\gamma)$ energy…

We develop a new method that allows us to deal with two-photon intermediate states in a lattice QCD calculation. We apply this method to perform a first-principles calculation of the $\pi^0 \rightarrow e^+ e^-$ decay amplitude. Both the…

High Energy Physics - Lattice · Physics 2020-01-17 Norman H. Christ , Xu Feng , Luchang Jin , Cheng Tu , Yidi Zhao

The leptonic decay-constant ratio $f_K/f_\pi$ is calculated from lattice-QCD simulations using $N_f=2+1$ dynamical fermion flavors in the clover-improved formulation and 2-HEX smearing. The simulations were performed for a range of…

High Energy Physics - Lattice · Physics 2016-11-15 Enno E. Scholz , Stephan Durr

We present a lattice QCD calculation of the pseudoscalar decay constants $f_K$, $f_D$ and $f_{D_s}$ performed by the European Twisted Mass Collaboration with $N_f = 2 + 1 + 1$ dynamical fermions. We simulated at three different values of…

High Energy Physics - Lattice · Physics 2014-10-06 P. Dimopoulos , R. Frezzotti , P. Lami , V. Lubicz , E. Picca , L. Riggio , G. C. Rossi , F. Sanfilippo , S. Simula , C. Tarantino

QCD sum rules on the light-cone are derived for the sum $f^+ + f^-$ of the $B\to \pi$ and $D\to \pi$ form factors taking into account contributions up to twist four. Combining the results with the corresponding $f^+$ form factors calculated…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Khodjamirian , R. Rückl , C. W. Winhart