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Recently it was shown that the scaling dimension of the operator $\phi^n$ in scale-invariant $d=3$ theory may be computed semiclassically, and this was verified to leading order (two loops) in perturbation theory at leading and subleading…

High Energy Physics - Theory · Physics 2025-06-03 I. Jack , D. R. T. Jones

A detailed analysis to the [1,2] Pad\'e approximation to the $\pi\pi$ scattering 2--loop amplitudes in chiral perturbation theory is made.

High Energy Physics - Phenomenology · Physics 2015-06-25 Guang-You Qin , W. Z. Deng , Z. G. Xiao , H. Q. Zheng

The non-leptonic hyperon decays are analyzed up to one-loop order including all counterterms in the framework of heavy baryon chiral perturbation theory. We use the exchange of the spin-3/2 decuplet resonances as an indication of which…

High Energy Physics - Phenomenology · Physics 2011-09-13 B. Borasoy , B. R. Holstein

I give an overview of the calculations done in three-flavour Chiral perturbation theory at next-to-next-to-leading order with an emphasis on those relevant for an improvement in the accuracy of the measurement of $V_{us}$. It is pointed out…

High Energy Physics - Phenomenology · Physics 2007-05-23 Johan Bijnens

We evaluate the three-loop corrections to the matching coefficient of the vector current between Quantum Chromodynamics (QCD) and non-relativistic QCD. The result is presented in the MSbar scheme where large perturbative corrections are…

High Energy Physics - Phenomenology · Physics 2014-03-05 Peter Marquard , Jan H. Piclum , Dirk Seidel , Matthias Steinhauser

We examine a large class of scalar quantum field theories where vertices are able to cancel adjacent propagators. These theories are obtained as diffeomorphisms of the field variable of a free field. Their connected correlations functions…

Mathematical Physics · Physics 2021-02-09 Paul-Hermann Balduf

Within the background field formulation in harmonic superspace for quantum N = 2 super Yang-Mills theories, the propagators of the matter, gauge and ghost superfields possess a complicated dependence on the SU(2) harmonic variables via the…

High Energy Physics - Theory · Physics 2009-11-10 S. M. Kuzenko

The existing Chiral Perturbation Theory (ChPT) calculations at order $p^6$ are reviewed. The principles of ChPT and how they are used are introduced. The main part is a review of the two- and three-flavour full two-loop calculations and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Johan Bijnens

A summary of recent progress in Chiral Perturbation Theory (ChPT) at the two-loop level is given. A short introduction to ChPT is included, along with an explanation of the usefulness of developing ChPT for partially quenched QCD. Further,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Johan Bijnens , Niclas Danielsson , Timo A. Lahde

We compute the two-loop corrections to the helicity amplitudes for the coupling of a massive vector boson to a massless quark-antiquark pair and a gluon, accounting for vector and axial-vector couplings of the vector boson and…

High Energy Physics - Phenomenology · Physics 2023-06-19 Thomas Gehrmann , Tiziano Peraro , Lorenzo Tancredi

Spectral functions at finite temperature and two-loop order are investigated, for a medium consisting of massless particles. We consider them in the timelike and spacelike domains, allowing the propagating particles to be any valid…

High Energy Physics - Phenomenology · Physics 2019-12-25 Greg Jackson

We compute the chiral critical exponents for the chiral transition in frustrated two- and three-component spin systems with noncollinear order, such as stacked triangular antiferromagnets (STA). For this purpose, we calculate and analyze…

Statistical Mechanics · Physics 2009-11-07 Andrea Pelissetto , Paolo Rossi , Ettore Vicari

The baryon axial vector current is computed in heavy baryon chiral perturbation theory in the large-$N_c$ limit, where $N_c$ is the number of color charges. One-loop nonanalytic corrections of order $m_q \ln m_q$ are comprised in the…

High Energy Physics - Phenomenology · Physics 2021-06-02 Ruben Flores-Mendieta , Carlos Isaac Garcia , Johann Hernandez

We present an extension of the string-inspired technique suitable to the calculation of amplitudes and effective Lagrangians involving both vector and axial vector gauge fields. The technique is easily adaptable to problems involving…

High Energy Physics - Phenomenology · Physics 2007-05-23 Christian Schubert

We perform a systematic study of two-meson form factors of the scalar, vector, and anti-symmetric tensor types within the framework of the $U(3)$ resonance chiral theory. The complete perturbative form factors in both the…

High Energy Physics - Phenomenology · Physics 2026-05-15 Jin Hao , Chun-Gui Duan , Zhi-Hui Guo , J. Oller , J. Ruiz de Elvira

Three-loop QCD corrections to the vector current correlator are considered. The large momentum procedure is applied in order to evaluate mass corrections up to order $(m^2/q^2)^6$. The inclusion of the first seven terms to the ratio…

High Energy Physics - Phenomenology · Physics 2009-10-30 K. G. Chetyrkin , R. Harlander , J. H. Kuehn , M. Steinhauser

We perform a complete one-loop calculation of meson-meson scattering, and of the scalar and pseudoscalar form factors in U(3) chiral perturbation theory with the inclusion of explicit resonance fields. This effective field theory takes into…

High Energy Physics - Phenomenology · Physics 2015-06-04 Zhi-Hui Guo , J. A. Oller , J. Ruiz de Elvira

We study the pion mass dependence of the rho(770) and f_0(600) masses and widths from one and two-loop unitarized Chiral Perturbation Theory. We show the consistency of one-loop calculations with lattice results for the M_rho, f_pi and the…

High Energy Physics - Phenomenology · Physics 2010-12-23 J. R. Pelaez , G. Rios

Using the approach based on conformal symmetry we calculate the two-loop coefficient function for the axial-vector contributions to two-photon processes in the $\overline{\rm MS}$ scheme. This is the last missing element for the complete…

High Energy Physics - Phenomenology · Physics 2021-11-17 V. M. Braun , A. N. Manashov , S. Moch , J. Schoenleber

This is the second of two papers devoted to the perturbative computation of the ghost and gluon propagators in SU(3) Lattice Gauge Theory. Such a computation should enable a comparison with results from lattice simulations in order to…

High Energy Physics - Lattice · Physics 2010-10-27 F. Di Renzo , E. -M. Ilgenfritz , H. Perlt , A. Schiller , C. Torrero
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