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The external-field QCD Sum Rules method is used to evaluate the coupling constant of the light isoscalar-scalar meson (``$\sigma$'' or \epsilon) to the nucleon. The contributions that come from the excited nucleon states and the response of…

Nuclear Theory · Physics 2008-11-26 G. Erkol , Th. A. Rijken , R. G. E. Timmermans

We present an update of our analysis of statistical and systematic errors in the calculation of iso-vector scalar, axial and tensor charges of the nucleon. The calculations are done using $N_f=2+1+1$ flavor HISQ ensembles generated by the…

High Energy Physics - Lattice · Physics 2016-01-11 Rajan Gupta , Tanmoy Bhattacharya , Vincenzo Cirigliano , Huey-Wen Lin , Boram Yoon

The Feynman-Hellmann theorem can be derived from the long Euclidean-time limit of correlation functions determined with functional derivatives of the partition function. Using this insight, we fully develop an improved method for computing…

High Energy Physics - Lattice · Physics 2017-07-19 Chris Bouchard , Chia Cheng Chang , Thorsten Kurth , Kostas Orginos , Andre Walker-Loud

We present an update on the calculation of matrix elements of iso-vector scalar, axial and tensor charges between a neutron and a proton state. These matrix elements are needed to probe novel scalar and tensor interactions in neutron…

High Energy Physics - Lattice · Physics 2012-12-21 Rajan Gupta , Tanmoy Bhattacharya , Anosh Joseph , Saul D. Cohen , Huey-Wen Lin

Beta-decay and muon-capture experiments in nuclei are reviewed. The conserved vector current hypothesis is confirmed through the observed constancy of the vector coupling constant determined from the superallowed Fermi transitions and from…

Nuclear Theory · Physics 2016-11-03 I. S. Towner , J. C. Hardy

By considering that the weak currents and the electromagnetic current are members of the same SU(3) octet, two sum rules involving leading vector form factors in hyperon semileptonic decays are derived in the limit of exact flavor SU(3)…

High Energy Physics - Phenomenology · Physics 2017-05-24 Ruben Flores-Mendieta , Roberto Padron-Stevens

We present a lattice calculation of the nucleon iso-vector axial and induced pseudoscalar form factors on the CLS ensembles using $N_{\rm f}=2$ dynamical flavours of non-perturbatively $\mathcal{O}(a)$-improved Wilson fermions and an…

Based on an effective Lagrangian which combines chiral SU(3) dynamics with vector meson dominance, we have developed a model for the forward vector meson-nucleon scattering amplitudes. We use this as an input to calculate the low energy…

High Energy Physics - Phenomenology · Physics 2009-07-09 F. Klingl , N. Kaiser , W. Weise

We present results for the isovector axial, scalar and tensor charges $g^{u-d}_A$, $g^{u-d}_S$ and $g^{u-d}_T$ of the nucleon needed to probe the Standard Model and novel physics. The axial charge is a fundamental parameter describing the…

High Energy Physics - Lattice · Physics 2017-01-17 Tanmoy Bhattacharya , Vincenzo Cirigliano , Saul Cohen , Rajan Gupta , Huey-Wen Lin , Boram Yoon

The renormalization constant $Z_J$ of the flavor-singlet axial-vector current with a non-anticommuting $\gamma_5$ in dimensional regularization is determined to order $\alpha_s^3$ in QCD with massless quarks. The result is obtained by…

High Energy Physics - Phenomenology · Physics 2021-06-02 Taushif Ahmed , Long Chen , Michał Czakon

Narison's $\tau$-decay-like sum rule for determining the strange quark mass is re-investigated, taking into account isospin-breaking corrections in the extraction of the input spectral functions from $e^+e^-\to hadrons$ data. The…

High Energy Physics - Phenomenology · Physics 2009-10-31 Kim Maltman

The external-field QCD Sum Rules method is used to evaluate the coupling constants of the light-isoscalar scalar meson (``\sigma'' or \epsilon) to the \Lambda, \Sigma, and \Xi baryons. It is shown that these coupling constants as calculated…

Nuclear Theory · Physics 2008-11-26 G. Erkol , M. Oka , Th. A. Rijken , R. G. E. Timmermans

We report the computation of the matrix element of the chromomagnetic operator of the flavour changing neutral current (FCNC)-type between a $B$- or $D$-meson state and a light hadron and off-shell photon. The computation is carried out by…

High Energy Physics - Phenomenology · Physics 2013-05-24 Maria Dimou , James Lyon , Roman Zwicky

Scalar form factor of the nucleon is calculated in the framework of light cone QCD sum rules, using the most general form of the baryon current. Using the result on scalar form factor of the nucleon, the nucleon-scalar "sigma" and "a_0"…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. M. Aliev , M. Savci

In this article, we study the axial-vector mesons $Z_b(10610)$ and $Z_b(10650)$ with the $C\gamma_\mu-C\gamma_5$ type and $C\gamma_\mu-C\gamma_\nu$ type interpolating currents respectively by carrying out the operator product expansion to…

High Energy Physics - Phenomenology · Physics 2014-09-22 Zhi-Gang Wang , Tao Huang

We apply the method of QCD sum rules in the presence of external electromagnetic fields $F_{\mu\nu}$ to the problem of the electromagnetic decays of various vector mesons, such as $\rho\to\pi\gamma$, $K^\ast\to K\gamma$ and…

Nuclear Theory · Physics 2009-10-31 Shi-lin Zhu , W. -Y. P. Hwang , Ze-sen Yang

We compute the diagonal isovector axial-vector as well as induced pseudoscalar form factors of nucleon, $\Sigma$ and $\Xi$ baryons by employing the light-cone QCD sum rules to leading order in QCD and including distribution amplitudes up to…

High Energy Physics - Phenomenology · Physics 2011-06-24 Guray Erkol , Altug Ozpineci

We use three-point function QCD sum rules to calculate the form factor $A_0(q^2)$ appearing in the matrix element of the flavour-changing axial current between the $D (B)$ state and a vector meson state. We describe the role of this form…

High Energy Physics - Phenomenology · Physics 2009-10-28 P. Colangelo , F. De Fazio , P. Santorelli

We present the calculation of matrix elements of iso-vector scalar, axial and tensor charges between a neutron and a proton state on dynamical $N_f=2+1+1$ HISQ configurations generated by the MILC Collaboration using valence clover…

High Energy Physics - Lattice · Physics 2014-03-12 Rajan Gupta , Tanmoy Bhattacharya , Anosh Joseph , Saul D. Cohen , Huey-Wen Lin

We perform the non-perturbative renormalization of matrix elements of the static-light axial current by a computation of its scale dependence in lattice QCD with two flavours of massless O(a) improved Wilson quarks. The regularization…

High Energy Physics - Lattice · Physics 2010-10-27 Michele Della Morte , Patrick Fritzsch , Jochen Heitger