Matching the heavy particle approach to relativistic theory

Gegelia, J.; Japaridze, G. S.

doi:10.1103/physrevd.60.114038

Cited by 199 publications

(256 citation statements)

References 10 publications

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“…[40][41][42], is an alternative approach to solve the PCB problem. It removes the power counting breaking terms (PCBT) at the level of amplitudes (or observables) by absorbing them into the renormalization of LECs of the effective Lagrangian.…”

Section: Jhep05(2016)038mentioning

confidence: 99%

Pion-nucleon scattering in covariant baryon chiral perturbation theory with explicit Delta resonances

Yao

Siemens

Bernard

et al. 2016

J. High Energ. Phys.

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We present the results of a third order calculation of the pion-nucleon scattering amplitude in a chiral effective field theory with pions, nucleons and delta resonances as explicit degrees of freedom. We work in a manifestly Lorentz invariant formulation of baryon chiral perturbation theory using dimensional regularization and the extended on-mass-shell renormalization scheme. In the delta resonance sector, the on mass-shell renormalization is realized as a complex-mass scheme. By fitting the low-energy constants of the effective Lagrangian to the S-and P -partial waves a satisfactory description of the phase shifts from the analysis of the Roy-Steiner equations is obtained. We predict the phase shifts for the D and F waves and compare them with the results of the analysis of the George Washington University group. The threshold parameters are calculated both in the delta-less and delta-full cases. Based on the determined low-energy constants, we discuss the pion-nucleon sigma term. Additionally, in order to determine the strangeness content of the nucleon, we calculate the octet baryon masses in the presence of decuplet resonances up to next-to-next-to-leading order in SU(3) baryon chiral perturbation theory. The octet baryon sigma terms are predicted as a byproduct of this calculation.

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Section: Jhep05(2016)038mentioning

confidence: 99%

Pion-nucleon scattering in covariant baryon chiral perturbation theory with explicit Delta resonances

Yao

Siemens

Bernard

et al. 2016

J. High Energ. Phys.

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“…In summary we have shown for the first time a chiral perturbation theory approach that consistently can describe all pion photo-and electroproduction processes in the threshold region equally well. Our 04012-p. 3 [11]. The dashed (green) curves are obtained from the DMT model [4].…”

Section: Results and Conclusionmentioning

confidence: 99%

“…Therefore, HBChPT became a standard tool for the analysis of pion photo-and electroproduction in the threshold region. In the meantime, the development of the infrared regularization (IR) scheme [2] and the extended on-mass-shell (EOMS) scheme [3] offered a solution to the power-counting problem, and RChPT became popular again.…”

Section: Introductionmentioning

confidence: 99%

Pion photo- and electroproduction in relativistic baryon ChPT

Tiator

Scherer

Hilt

2014

EPJ Web of Conferences

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“…In addition, the usual divergences of dimensional regularization also have to be dealt with. We opt for the EOMS regularization scheme, where both these problems are addressed simultaneously, by absorbing their fully analytical expressions into the low-energy constants of the corresponding order [28,29]. The success of this renormalization scheme has been thoroughly studied on many physical observables in [30][31][32][33][34][35][36][37][38][39][40][41].…”

Section: The Chpt Lagrangianmentioning

confidence: 99%

Threshold Neutral Pion Photoproduction on the Proton

Blin

Vacas

Ledwig

2016

Proceedings of the 10th International Workshop on the Physics of Excited Nucleons (NSTAR2015)

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The neutral pion photoproduction on the proton near threshold has a very small scattering cross section when compared to the charged channels, which in ChPT is explained by strong cancellations between the lowest order pieces. Therefore it is very sensitive to higher-order corrections of chiral perturbation theory. We perform a fully covariant calculation up to chiral order p 3 and we investigate the effect of the inclusion of the ∆(1232) resonance as an explicit degree of freedom. We show that the convergence improves, leading to a much better agreement with data at a wide range of energies.

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Matching the heavy particle approach to relativistic theory

Abstract: On the simple model of interacting massless and heavy scalar fields it is demonstrated that the technique of heavy baryon chiral perturbation theory reproduces the results of relativistic theory. Explicit calculations are performed for diagrams including two-loops. 03.70.+k 12.39.Fe,

Cited by 199 publications

References 10 publications

Pion-nucleon scattering in covariant baryon chiral perturbation theory with explicit Delta resonances

Pion-nucleon scattering in covariant baryon chiral perturbation theory with explicit Delta resonances

Pion photo- and electroproduction in relativistic baryon ChPT

Threshold Neutral Pion Photoproduction on the Proton

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