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Pion electro- and photoproduction off the nucleon close to threshold is studied in covariant baryon chiral perturbation theory at O($p^3$) in the extended-on-mass-shell scheme, with the explicit inclusion of the $\Delta(1232)$ resonance.…

High Energy Physics - Phenomenology · Physics 2021-01-04 Gustavo H. Guerrero Navarro , M. J. Vicente Vacas

The hyperon vector form factors at zero momentum transfer, $f_1(0)$, play an important role in a precise determination of the Cabibbo-Kobayashi-Maskawa matrix element $V_{us}$. Recent studies based on lattice chromodynamics (LQCD)…

High Energy Physics - Phenomenology · Physics 2014-07-09 Li-Sheng Geng , Kai-wen Li , J. Martin Camalich

We present the results of a complete two-loop calculation at order q^6 of the nucleon mass in manifestly Lorentz-invariant chiral perturbation theory. The renormalization is performed using the reformulated infrared renormalization, which…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. R. Schindler , D. Djukanovic , J. Gegelia , S. Scherer

We develop Chiral Perturbation Theory for chirally broken theories with fermions in two different representations of the gauge group. Any such theory has a non-anomalous singlet $U(1)_A$ symmetry, yielding an additional Nambu-Goldstone…

High Energy Physics - Phenomenology · Physics 2016-07-13 Thomas DeGrand , Maarten Golterman , Ethan T. Neil , Yigal Shamir

We present the results of our computation of the chiral condensate with $N_f=2$ and $N_f=2+1+1$ flavours of maximally twisted mass fermions. The condensate is determined from the Dirac operator spectrum, applying the spectral projector…

High Energy Physics - Lattice · Physics 2013-12-20 Krzysztof Cichy , Elena Garcia-Ramos , Karl Jansen

We consider corrections to nucleon correlation functions arising from times that are far from the asymptotic limit. For such times, the single nucleon state is contaminated by the pion-nucleon and pion-delta continuum. We use heavy baryon…

High Energy Physics - Lattice · Physics 2009-07-24 B. C. Tiburzi

We analyze meson-baryon scattering lengths in the framework of covariant baryon chiral perturbation theory at leading one-loop order. We compute the complete set of matching relations between the dimension-two low-energy constants in the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Maxim Mai , Peter C. Bruns , Bastian Kubis , Ulf-G. Meißner

We discuss a renormalization scheme for relativistic baryon chiral perturbation theory which provides a simple and consistent power counting for renormalized diagrams. The method involves finite subtractions of dimensionally regularized…

High Energy Physics - Phenomenology · Physics 2015-06-25 Thomas Fuchs , Jambul Gegelia , Stefan Scherer

We calculate the masses and sigma terms of the doubly charmed baryons up to next-to-next-to-next-to-leading order (i.e., $\mathcal{O}(p^4)$) in a covariant baryon chiral perturbation theory by using the extended-on-mass-shell…

High Energy Physics - Phenomenology · Physics 2018-03-14 De-Liang Yao

We develop a novel approach to chiral meson-baryon dynamics incorporating unitarity constraints and explicit resonance fields. It is based on the most general structure of any pion-nucleon partial wave amplitude neglecting the unphysical…

Nuclear Theory · Physics 2009-10-31 Ulf-G. Meißner , J. A. Oller

Heavy baryon chiral perturbation theory including spin 3/2 delta resonances as effective degrees of freedom is reviewed. The theory admits a systematic expansion in the small scale $\epsilon$, where $\epsilon$ collectively denotes soft…

High Energy Physics - Phenomenology · Physics 2009-10-30 Joachim Kambor

We show how the unitarized description of pion nucleon scattering within Heavy Baryon Chiral Perturbation Theory can be considerably improved, by a suitable reordering of the expansion over the nucleon mass. Within this framework, the…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Gómez Nicola , J. Nieves , J. R. Peláez , E. Ruiz Arriola

We study the quark mass expansion of the axial-vector coupling constant g_A of the nucleon. The aim is to explore the feasibility of chiral effective field theory methods for extrapolation of lattice QCD results - so far determined at…

High Energy Physics - Lattice · Physics 2008-11-26 Thomas R. Hemmert , Massimiliano Procura , Wolfram Weise

I discuss the conditions under which the application of chiral perturbation theory to the NN potential gives reliable results for NN scattering phase shifts. ChiPT also yields a convergent expansion for the deuteron charge operator. For…

Nuclear Theory · Physics 2015-05-20 Daniel R. Phillips

I review recent results in baryon chiral perturbation theory, in particular related to pion-nucleon scattering and first systematic attempts to go beyond next-to-leading order in the case of three flavors. New insight into the chiral…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ulf-G. Meißner

We describe details of the renormalization of two-loop integrals relevant to the calculation of the nucleon mass in the framework of manifestly Lorentz-invariant chiral perturbation theory using infrared renormalization. It is shown that…

High Energy Physics - Phenomenology · Physics 2021-02-26 M. R. Schindler , D. Djukanovic , J. Gegelia , S. Scherer

The renormalization factors of local quark-bilinear operators are computed non-perturbatively for $N_f=3$ flavors of SLiNC fermions, with emphasis on the various procedures for the chiral and continuum extrapolations. The simulations are…

High Energy Physics - Lattice · Physics 2015-01-14 M. Constantinou , R. Horsley , H. Panagopoulos , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller , J. M. Zanotti

We develop a systematic chiral perturbation expansion for the calculation of meson-exchange currents in nuclei and apply the formalism to nuclear axial currents. We summarize the principal results of such a calculation to one loop order on…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tae-Sun Park , Dong-Pil Min , Mannque Rho

Two-point functions related to the pion weak decay constant f_\pi are calculated from the generating functional of chiral perturbation theory in the mean-field approximation and the heavy-baryon limit. The aim is to demonstrate that Lorentz…

High Energy Physics - Phenomenology · Physics 2007-05-23 Mariana Kirchbach , Andreas Wirzba

The corrections induced by light quark masses to the current algebra result for the $\pi^0$ lifetime are reexamined. We consider NNLO corrections and we compute all the one-loop and the two-loop diagrams which contribute to the decay…

High Energy Physics - Phenomenology · Physics 2010-01-05 Karol Kampf , Bachir Moussallam