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Heavy Quark Effective Theory (HQET) computations of semi-leptonic decays, e.g. B -> pi l nu, require the knowledge of the parameters in the effective theory for all components of the heavy-light flavor currents. So far non-perturbative…

High Energy Physics - Lattice · Physics 2015-06-12 Dirk Hesse , Rainer Sommer

We present a strategy how to match the full set of components of the heavy-light axial and vector currents in Heavy Quark Effective Theory (HQET), up to and including 1/m-corrections, to QCD. While the ultimate goal is to apply these…

High Energy Physics - Lattice · Physics 2014-04-28 Michele Della Morte , Samantha Dooling , Jochen Heitger , Dirk Hesse , Hubert Simma

We apply heavy-quark effective theory (HQET) to separate long- and short-distance effects of heavy quarks in lattice gauge theory. In this paper we focus on flavor-changing currents that mediate transitions from one heavy flavor to another.…

High Energy Physics - Lattice · Physics 2009-11-07 Junpei Harada , Shoji Hashimoto , Andreas S. Kronfeld , Tetsuya Onogi

We report on a non-perturbative determination of the parameters of the lattice Heavy Quark Effective Theory (HQET) Lagrangian and of the time component of the heavy-light axial-vector current with Nf=2 flavors of massless dynamical quarks.…

We give an introduction to Heavy Quark Effective Theory (HQET). Our emphasis is on its formulation non-perturbative in the strong coupling, including the non-perturbative determination of the parameters in the HQET Lagrangian. In a second…

High Energy Physics - Lattice · Physics 2015-01-14 Rainer Sommer

As an explicit example of HQET, we construct correlation functions containing a heavy-light axial current, both in the static approximation and in full QCD. This enables us to investigate the size of finite mass effects. As we use the…

High Energy Physics - Lattice · Physics 2015-06-25 Martin Kurth , Rainer Sommer

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

We give an introduction to the special problems encountered in a treatment of HQET beyond perturbation theory in the gauge coupling constant. In particular, we report on a recent test of HQET as an effective theory for QCD and discuss how…

High Energy Physics - Phenomenology · Physics 2011-01-27 Rainer Sommer

HQET is an effective theory for QCD with N_f light quarks and a massive valence quark if the mass of the latter is much bigger than Lambda_QCD. As any effective theory, HQET is predictive only when a set of parameters has been determined…

High Energy Physics - Lattice · Physics 2013-12-10 Piotr Korcyl

These lecture notes begin with a brief survey of the physics of heavy quark systems. This discusion motivates the introduction of the Heavy Quark Effective theory (HQET) which captures a great deal of the intuition developed. A derivation…

High Energy Physics - Phenomenology · Physics 2016-09-01 F. Hussain , G. Thompson

The temporal and spatial components of the heavy-light vector current and the spatial components of the axial current are expressed in terms of lattice-regulated operators suitable for simulations of B and D mesons. The currents are…

High Energy Physics - Lattice · Physics 2009-10-31 Colin J. Morningstar , J. Shigemitsu

We consider QCD with one massless quark and one heavy quark in a finite volume of linear extent L_0 ~ 0.2 fm. In this situation, HQET represents an expansion in terms of 1/z=1/(m L_0), which we test by a non-perturbative computation of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jochen Heitger , Andreas Juttner , Rainer Sommer , Jan Wennekers

Heavy Quark Effective Theory (HQET) is a new approach to QCD problems involving a heavy quark. In the leading approximation, the heavy quark is considered as a static source of the gluon field; 1/m corrections can be systematically included…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. G. Grozin

We study the heavy quark mass dependence of selected observables constructed from heavy-light meson correlation functions in small-volume two-flavour lattice QCD after taking the continuum limit. The light quark mass is tuned to zero,…

High Energy Physics - Lattice · Physics 2016-02-17 P. Fritzsch , N. Garron , J. Heitger

The use of Heavy Quark Effective Theory (HQET) on the lattice as an approach to B-physics phenomenology is based on a non-perturbative matching of HQET to QCD in finite volume. As a first step to apply the underlying strategy in the…

High Energy Physics - Lattice · Physics 2018-11-08 Patrick Fritzsch , Jochen Heitger , Simon Kuberski

Heavy-quark effective theory (HQET) is applied to lattice QCD with Wilson fermions at fixed lattice spacing a. This description is possible because heavy-quark symmetries are respected. It is desirable because the ultraviolet cutoff $1/a$…

High Energy Physics - Lattice · Physics 2009-10-31 Andreas S. Kronfeld

We quantitatively investigate the quark mass dependence of current matrix elements and energies, calculated over a wide range of quark masses in the continuum limit of small-volume quenched lattice QCD. By a precise comparison of these…

High Energy Physics - Lattice · Physics 2007-05-23 Jochen Heitger , Andreas Juttner , Rainer Sommer , Jan Wennekers

The temporal component of the heavy-light axial vector current is constructed to one-loop order in perturbation theory and to order 1/M, where M is the heavy quark mass, in terms of operators suitable for use in lattice simulations of B and…

High Energy Physics - Lattice · Physics 2016-08-25 Colin J. Morningstar , J. Shigemitsu

In recent years the precision of lattice calculations has improved hugely, and the results are making a very significant impact in particle physics phenomenology. Indeed there is no alternative general method which can be used in the…

High Energy Physics - Lattice · Physics 2011-03-31 Christopher Sachrajda

We match the continuum and lattice axial vector and vector currents at one loop in perturbation theory. For the heavy quarks we use the nonrelativistic QCD (NRQCD) action and for the light quarks the Highly Improved Staggered Quark (HISQ)…

High Energy Physics - Lattice · Physics 2013-04-18 Christopher Monahan , Junko Shigemitsu , Ron Horgan
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