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Dispersive sum rules constitute long-standing tools for extracting hadron features from QCD. We estimate the systematic uncertainties induced by assuming quark-hadron duality and improve the accuracy of the resulting predictions by…

High Energy Physics - Phenomenology · Physics 2015-03-19 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

Our community has to apply {\em non}-perturbative QCD on different levels of flavor dynamics in strange, charm \& beauty hadrons and even for top quarks. We need {\em consistent} parameterization of the CKM matrix and describe weak decays…

High Energy Physics - Phenomenology · Physics 2018-08-01 I. I. Bigi

Modifying the standard approaches to nonperturbative QCD based on Borel-transformed dispersive sum rules by allowing the effective continuum thresholds required for the implementation of quark-hadron duality to depend on the Borel…

High Energy Physics - Phenomenology · Physics 2011-02-01 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

`Anyone who keeps the ability to see beauty never grows old' Franz Kafka. In the last few years considerable progress has been achieved in our understanding of the decays of heavy flavour hadrons. One can now calculate inclusive transition…

High Energy Physics - Phenomenology · Physics 2009-09-25 I. Bigi , B. Blok , M. Shifman , N. Uraltsev , A. Vainshtein

We explore, by a rather peculiar limit of QCD sum rules subject to a Borel transformation (realized by allowing the related Borel mass parameter to approach infinity), how the small difference of the masses of up and down quark translates…

High Energy Physics - Phenomenology · Physics 2019-06-20 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We explain how to perform non-perturbative computations in HQET on the lattice. In particular the problem of the subtraction of power-law divergences is solved by a non-perturbative matching of HQET and QCD. As examples, we present a full…

High Energy Physics - Lattice · Physics 2011-01-27 Jochen Heitger , Rainer Sommer

We present a selfconsistent method for treating nonperturbative effects in inclusive nonleptonic and semileptonic decays of heavy flavour hadrons. These effects give rise to powerlike corrections $\propto 1/m_Q^n\,$, $n \ge 2$ with $m_Q$…

High Energy Physics - Phenomenology · Physics 2011-07-18 I. I. Bigi , N. G. Uraltsev , A. I. Vainshtein

In the heavy quark effective theory, hadronic matrix elements of currents between two hadrons containing a heavy quark are expanded in inverse powers of the heavy quark masses, with coefficients that are functions of the kinematic variable…

High Energy Physics - Phenomenology · Physics 2009-10-22 Adam F. Falk , Matthias Neubert

We give a pedagogical introduction to hadron spectroscopy and structure studies using functional methods. We explain the basic features of Dyson-Schwinger, Bethe-Salpeter and Faddeev equations, which are employed to calculate the spectra of…

High Energy Physics - Phenomenology · Physics 2025-03-14 Gernot Eichmann

A formalism for studying heavy quarks in terms of model Dyson-Schwinger equations is developed. The formalism is the natural extension of a technique which has proved successful in a number of studies of light hadron physics. The dressed…

High Energy Physics - Phenomenology · Physics 2011-07-19 C. J. Burden , D. -S. Liu

The governing role of light-cone dynamics in inclusive heavy hadron decay processes is demonstrated. Nonperturbative QCD effects on the processes can be systematically calculated using light-cone expansion and heavy quark effective theory.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Changhao Jin

We derive predictions for the hadronic matrix elements of radiative semileptonic decays of beautiful hadrons within Heavy Quark Effective Theory (HQET), relevant for future measurements at Belle II and LHCb. Our study considers Lambda(b) ->…

High Energy Physics - Phenomenology · Physics 2026-05-15 Federico Cima , Michele Papucci

The Borel summation technique of infrared renormalons is applied to the lattice determination of heavy quark mass. With Borel summation a physical heavy quark pole mass and binding energy of a heavy-light meson can be defined in a rigorous…

High Energy Physics - Phenomenology · Physics 2009-11-11 Taekoon Lee

We present the outcomes of a very recent investigation of the decay constants of nonstrange and strange heavy-light beauty vector mesons, with special emphasis on the ratio of any such decay constant to the decay constant of the…

High Energy Physics - Phenomenology · Physics 2016-01-26 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

A new method of estimating higher order perturbative coefficients is discussed. It exploits the rapid, asymptotic growth of perturbative coefficients and the information on the singularities in the complex Borel plane. A comparison with…

High Energy Physics - Phenomenology · Physics 2009-11-07 Kwang Sik Jeong , Taekoon Lee

A novel procedure for extracting hadron characteristics from QCD sum rules, based on effective continuum thresholds (necessary for the implementation of quark-hadron duality) which may depend on the involved momenta and on the Borel…

High Energy Physics - Phenomenology · Physics 2011-06-15 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We provide a formulation of potential non-relativistic quantum chromodynamics (pNRQCD) suitable for calculating binding energies and matrix elements of generic hadron and multi-hadron states made of heavy quarks in $SU(N_c)$ gauge theory…

High Energy Physics - Phenomenology · Physics 2023-11-06 Benoît Assi , Michael L. Wagman

Light and heavy-light (b) hadrons are among the most interesting and among the most challenging quantities to calculate in lattice gauge theory. One would like to avoid discretization effects from very heavy quarks and to calculate chiral…

High Energy Physics - Lattice · Physics 2007-05-23 A. Ali Khan

We will summarize the progress in understanding the changes in the vector meson spectral density in nuclear medium using the constraint equations obtained from the Borel transformed dispersion relation and QCD Operator Product Expansion. We…

Nuclear Theory · Physics 2009-10-31 Su Houng Lee

During the last years, the ALPHA collaboration has been developing and implementing a method based on Heavy Quark Effective Theory (HQET) to compute B-mesons observables through lattice simulations. Thanks to a non-perturbative matching to…

High Energy Physics - Lattice · Physics 2015-03-18 Nicolas Garron
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