Infrared regularization of baryon chiral perturbation theory reformulated

Schindler, Matthias R.; Gegelia, J.; Scherer, Stefan

doi:10.1016/j.physletb.2004.02.056

Cited by 73 publications

(76 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…With a suitable renormalization condition one can also obtain a consistent power counting in manifestly Lorentz-invariant baryon chiral perturbation theory including, e.g., vector mesons [98] or the ∆(1232) resonance [52] as explicit degrees of freedom. Secondly, the infrared regularization of Becher and Leutwyler [16] may be formulated in a form analogous to the EOMS renormalization [99]. Finally, using a toy model we have explicitly demonstrated the application of both infrared and extended on-mass-shell renormalization schemes to multiloop diagrams by considering as an example a two-loop self-energy diagram [97].…”

Section: Manifestly Lorentz-invariant Baryon Chiral Perturbation Theorymentioning

confidence: 99%

Chiral perturbation theory

Scherer

2006

Eur. Phys. J. A

View full text Add to dashboard Cite

Abstract. Chiral perturbation theory is the effective field theory of the strong interactions at low energies. We will give a short introduction to chiral perturbation theory for mesons and will discuss, as an example, the electromagnetic polarizabilities of the pion. These have recently been extracted from an experiment on radiative π + photoproduction from the proton (γp → γπ + n) at the Mainz Microtron MAMI. Next we will turn to the one-baryon sector of chiral perturbation theory and will address the issue of a consistent power counting scheme. As examples of the heavy-baryon framework we will comment on the extraction of the axial radius from pion electroproduction and will discuss the generalized polarizabilities of the proton. Finally, we will discuss two recently proposed manifestly Lorentz-invariant renormalization schemes and illustrate their application in a calculation of the nucleon electromagnetic form factors.

show abstract

Section: Manifestly Lorentz-invariant Baryon Chiral Perturbation Theorymentioning

confidence: 99%

Chiral perturbation theory

Scherer

2006

Eur. Phys. J. A

View full text Add to dashboard Cite

show abstract

“…[29] and later extended/reformulated in refs. [32][33][34][35]. All the Feynman integrals in the IR regularization scheme are divided into infrared singular parts, respecting the power counting rules, and infrared regular parts, possibly violating them, and therefore the latter are discarded by means of absorbing them in (an infinite number of) the low-energy constants (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.

View full text Add to dashboard Cite

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.

show abstract

“…Considering only the Goldstone boson sector of QCD, within this approach a straightforward power counting, i.e., correspondence between the loop expansion and the chiral expansion in terms of momenta and quark masses at a fixed ratio [42], is obtained by using dimensional regularization in combination with a minimal subtraction scheme. The construction of a consistent power counting in effective field theories with heavy degrees of freedom turns out to be a more complex problem [45] which can be resolved by choosing a suitable renormalization scheme [46][47][48][49][50]. In order to also include resonant degrees of freedom, such as the Roper resonance, we apply the complexmass scheme (CMS) [51][52][53][54][55], an extension of the on-mass-shell renormalization scheme to unstable particles.…”

Section: Introductionmentioning

confidence: 99%