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In order to investigate specific aspects of bound state calculations in a non-relativistic framework, we consider the energy-levels of a massive scalar particle, which moves in an external field and interacts in addition with a massless…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. Antonelli , A. Gall , J. Gasser , A. Rusetsky

A novel method to make Lagrangians Galilean invariant is developed. The method, based on null Lagrangians and their gauge functions, is used to demonstrate the Galilean invariance of the Lagrangian for Newton's law of inertia. It is…

Mathematical Physics · Physics 2020-07-22 Z. E. Musielak , T. B. Watson

Weak processes (e.g., B decays) with characteristic energies <<M_W can be described by an effective theory which does not contain W, Z and other heavy particles (Higgs, t). Its Lagrangian contains four-fermion interaction operators.…

High Energy Physics - Phenomenology · Physics 2013-11-05 Andrey Grozin

The Born amplitudes for quasi-multi-Regge kinematics of produced gluons are constructed in accordance with the Feynman rules including apart from usual Yang-Mills vertices also an infinite number of induced vertices. The new vertices…

High Energy Physics - Phenomenology · Physics 2011-05-05 L. N. Lipatov

We develop the BRST approach to gauge invariant Lagrangian construction for the massive mixed symmetry integer higher spin fields described by the rank-two Young tableaux in arbitrary dimensional Minkowski space. The theory is formulated in…

High Energy Physics - Theory · Physics 2008-11-26 I. L. Buchbinder , V. A. Krykhtin , H. Takata

We point out that the gauge-invariance of the subleading Lagrangian of soft-collinear effective theory is realised in an intricate way through momentum-conservation violating contributions. Although these terms are disregarded in…

High Energy Physics - Phenomenology · Physics 2023-09-01 Philipp Böer , Patrick Hager

We discuss the possibility of constructing an effective gauge field theory of the nucleon interations based on the ideas of isotopic invariance as well as hypercharge invariance as a local gauge symmetry and spontaneous breaking of this…

High Energy Physics - Phenomenology · Physics 2024-08-05 Eduard Boos

Using effective-lagrangian techniques we perform a systematic survey of the lowest-dimension effective interactions through which heavy physics might manifest itself in present experiments. We do not restrict ourselves to special classes of…

High Energy Physics - Phenomenology · Physics 2009-10-22 C. P. Burgess , S. Godfrey , H. König , D. London , I. Maksymyk

Lagrangians for massive, unconstrained, higher-spin bosons and fermions are proposed. The idea is to modify the geometric, gauge invariant Lagrangians describing the corresponding massless theories by the addition of suitable quadratic…

High Energy Physics - Theory · Physics 2008-11-26 D. Francia

The usual derivation of the Lagrangian of a model for massive vector bosons, by spontaneous symmetry breaking of a gauge theory, implies that the prefactors of the various interaction terms are uniquely determined functions of the coupling…

High Energy Physics - Theory · Physics 2016-01-01 Michael Duetsch

The properties of the effective field theory relevant for the low energy structure generated by the Goldstone bosons of a spontaneously broken symmetry are reexamined. It is shown that anomaly free, Lorentz invariant theories are…

High Energy Physics - Phenomenology · Physics 2009-10-22 H. Leutwyler

We discuss an alternative implementation of the Higgs boson within the Standard Model which is possible if the renormalizability condition is relaxed. Namely, at energy scale $\Lambda$ the Higgs boson interacts at tree-level only with…

High Energy Physics - Phenomenology · Physics 2011-03-15 Robert Foot , Archil Kobakhidze

The leading beta_0^(n-1) alpha_s^n terms in the Wilson coefficient and anomalous dimension of the chromomagnetic operator in the heavy-quark effective Lagrangian are summed to all orders of perturbation theory. The perturbation series for…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. G. Grozin , M. Neubert

We present a solution to the naturalness problem of the electroweak scale based on a change of variable in the Fourier space of non supersymmetric nature that transforms a boson into a fermion and viceversa. This is exemplified for that…

High Energy Physics - Phenomenology · Physics 2017-06-12 Amir H. Fariborz , Renata Jora

The parity and time-reversal invariant effective lagrangian for a heavy fermion interacting with an abelian gauge field, i.e., NRQED, is constructed through order $1/M^4$. The implementation of Lorentz invariance in the effective theory…

High Energy Physics - Phenomenology · Physics 2013-04-03 Richard J. Hill , Gabriel Lee , Gil Paz , Mikhail P. Solon

We deal with regular Lagrangian constrained systems which are invariant under the action of a symmetry group. Fixing a connection on the higher-order principal bundle where the Lagrangian and the (independent) constraints are defined, the…

Mathematical Physics · Physics 2015-01-21 Leonardo Colombo

The form of collinear gauge invariance for power suppressed operators in the soft-collinear effective theory is discussed. Using a field redefinition we show that it is possible to make any power suppressed ultrasoft-collinear operators…

High Energy Physics - Phenomenology · Physics 2009-11-10 Christian W. Bauer , Dan Pirjol , Iain W. Stewart

A Feynman-Jensen version of the thermal variational principle is applied to hot gauge fields, Abelian as well as non-Abelian: scalar electrodynamics (without scalar self-coupling) and the gluon plasma. The perturbatively known self-energies…

High Energy Physics - Phenomenology · Physics 2009-10-28 Y. Schröder , H. Schulz

A Higgs boson in the intermediate mass range is considered. An effective Lagrangian approach is used in order to evaluate the top-induced QCD corrections of order $\alpha_s^3$ to the decay into light quarks and $O(\alpha_s^4)$ corrections…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Steinhauser

For gauge theory, the matrix element for any physical process is independent of the gauge used. Since this is a formal statement and examples are known where gauge invariance is violated, for any specific process this gauge invariance needs…

High Energy Physics - Phenomenology · Physics 2018-12-10 Tai Tsun Wu , Sau Lan Wu
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