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We present a systematic method for determining the two-loop effective Lagrangian resulting from integrating out a set of heavy particles in an ultraviolet scalar theory. We prove that the matching coefficients are entirely determined from…

High Energy Physics - Phenomenology · Physics 2024-03-19 Javier Fuentes-Martín , Ajdin Palavrić , Anders Eller Thomsen

The main results are: 1. A manifestly covariant technique for the calculation of De Witt coefficients is elaborated; 2. The coefficients $a_3$ and $a_4$ are calculated; 3. Covariant methods for the study of the nonlocal structure of the…

High Energy Physics - Theory · Physics 2008-02-03 Ivan G. Avramidi

Higher order calculations in perturbative Quantum Field Theories often produce coupled linear systems of differential equations which factorize to first order. Here we present an algorithm to solve such systems in terms of iterated…

High Energy Physics - Phenomenology · Physics 2020-08-26 J. Ablinger , J. Blümlein , P. Marquard , N. Rana , C. Schneider

A new formula for the heavy quark-antiquark spin dependent potential is given by using the techniques developed in the heavy quark effective theory. The leading logarithmic quark mass terms emerging from the loop contributions are…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yu-Qi Chen , Yu-Ping Kuang , Robert J. Oakes

I review the use of the Heavy Quark Effective Theory in the computation of total rates and differential kinematic distributions in inclusive semileptonic and radiative B decays. Particular attention is paid to strategies for the extraction…

High Energy Physics - Phenomenology · Physics 2014-11-17 Adam F. Falk

Functional methods and a derivative expansion are employed for laying out a procedure to compute the effective action to any loop order, for scalar fields parametrising an arbitrary Riemannian manifold, while maintaining explicit…

High Energy Physics - Theory · Physics 2024-10-08 Rodrigo Alonso , Mia West

We describe a method to numerically compute multi-loop integrals, depending on one dimensionless parameter $x$ and the dimension $d$, in the whole kinematic range of $x$. The method is based on differential equations, which, however, do not…

High Energy Physics - Phenomenology · Physics 2021-10-13 Matteo Fael , Fabian Lange , Kay Schönwald , Matthias Steinhauser

Computing derivatives of observables with respect to parameters of the theory is a powerful tool in lattice QCD, as it allows the study of physical effects not directly accessible in the original Monte Carlo simulation. Prominent examples…

High Energy Physics - Lattice · Physics 2026-03-26 David Albandea , Simon Kuberski , Fernando P. Panadero

I give a brief outline of the theoretical framework for the modern treatment of the strong interaction effects in heavy quark decays, based on first principles of QCD. This model-independent approach is required to meet the precision of…

High Energy Physics - Phenomenology · Physics 2014-11-17 N. Uraltsev

Chiral effective field theories have been used with success in the study of nuclear structure. It is of interest to systematically improve these energy functionals (particularly that of quantum hadrodynamics) through the inclusion of…

Nuclear Theory · Physics 2009-06-11 Jeff McIntire

We compute the one loop effective action for a Quantum Field Theory at finite temperature, in the presence of background gauge fields, employing the Heat-Kernel method. This method enables us to compute the thermal corrections to the Wilson…

High Energy Physics - Theory · Physics 2025-02-26 Joydeep Chakrabortty , Subhendra Mohanty

Methods of calculation of loop diagrams in Heavy Quark Effective Theory (HQET) are presented.

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

Higher order coefficients of the inverse mass expansion of one--loop effective actions are obtained from a one--dimensional path integral representation. For the evaluation of the path integral with Wick contractions a suitable Green…

High Energy Physics - Theory · Physics 2007-05-23 Denny Fliegner , Peter Haberl , Michael G. Schmidt , Christian Schubert

Although one-loop calculations provide a realistic description of bulk and single-particle nuclear properties, it is necessary to examine loop corrections to develop a systematic finite-density power-counting scheme for the nuclear…

Nuclear Theory · Physics 2008-11-26 Ying Hu , Jeff McIntire , Brian D. Serot

We apply heavy-quark effective theory to separate long- and short-distance effects of heavy quarks in lattice gauge theory. In this approach, the inverse heavy-quark mass and the lattice spacing are treated as short distances, and their…

High Energy Physics - Lattice · Physics 2014-11-17 Junpei Harada , Shoji Hashimoto , Ken-Ichi Ishikawa , Andreas S. Kronfeld , Tetsuya Onogi , Norikazu Yamada

In this paper we construct a covariant light-front model of heavy mesons within the framework of heavy quark effective theory (HQET). The covariant model consists of the light-front heavy meson bound states constructed in the heavy quark…

High Energy Physics - Phenomenology · Physics 2011-07-19 Hai-Yang Cheng , Chi-Yee Cheung , Chien-Wen Hwang , Wei-Min Zhang

We extend existing work on reparametrization invariance (RPI) of the heavy-quark expansion. We discuss the total rates of inclusive processes and obtain results which have a manifest RPI and can be expressed through matrix elements of…

High Energy Physics - Phenomenology · Physics 2018-08-01 Thomas Mannel , K. Keri Vos

We review a Soft Collinear Effective Theory approach to the study of factorization and resummation of QCD effects in top-quark pair production. In particular, we consider differential cross sections such as the top-quark pair invariant mass…

High Energy Physics - Phenomenology · Physics 2014-09-16 Andrea Ferroglia , Simone Marzani , Ben D. Pecjak , Li Lin Yang

A physically defined QCD coupling parameter naturally incorporates massive quark flavor thresholds in a gauge invariant, renormalization scale independent and analytical way. In this paper we summarize recent results for the finite-mass…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael Melles

A method is presented for the computation of the one-loop effective action at finite temperature and density. The method is based on an expansion in the number of spatial covariant derivatives. It applies to general background field…

High Energy Physics - Theory · Physics 2016-08-15 C. García-Recio , L. L. Salcedo