Chiral perturbation theory

Pich, Antonio

doi:10.1088/0034-4885/58/6/001

Cited by 513 publications

(554 citation statements)

References 210 publications

(220 reference statements)

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“…The Goldstone nature of the pseudoscalar bosons implies strong constraints on their interactions, which can be most easily analyzed on the basis of an effective Lagrangian organized as an expansion in powers of momenta (derivatives) and quark masses over the chiral symmetry breaking scale Λ χ ≃ 4πF π ≃ 1.2 GeV. The resulting Goldstone effective field theory, Chiral Perturbation Theory (χPT) [3][4][5], has achieved a remarkable success describing the low-energy dynamics of QCD [6,7].…”

Section: Introductionmentioning

confidence: 99%

Quantum Loops in the Resonance Chiral Theory: The Vector Form-Factor

Rosell

Sanz-Cillero

Pich

2004

J. High Energy Phys.

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172

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We present a calculation of the Vector Form Factor at the next-to-leading order in the 1/N C expansion, within the framework of Resonance Chiral Theory. The calculation is performed in the chiral limit, and with two dynamical quark flavours. The ultraviolet behaviour of quantum loops involving virtual resonance propagators is analyzed, together with the kind of counterterms needed in the renormalization procedure. Using the lowest-order equations of motion, we show that only a few combinations of local couplings appear in the final result. The low-energy limit of our calculation reproduces the standard Chiral Perturbation Theory formula, allowing us to determine the resonance contribution to the chiral low-energy couplings, at the next-to-leading order in 1/N C , keeping a full control of their renormalization scale dependence.

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Section: Introductionmentioning

confidence: 99%

Quantum Loops in the Resonance Chiral Theory: The Vector Form-Factor

Rosell

Sanz-Cillero

Pich

2004

J. High Energy Phys.

Self Cite

172

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“…It is generally believed [4,1,2] that the charm quark plays an important role in the ∆I = 1/2 rule, observed in non-leptonic weak kaon decays, K → ππ. The purpose of this short note has been to investigate one aspect of this role.…”

Section: Discussionmentioning

confidence: 99%

“…(2.1). In the chiral theory, the corresponding generic operator can to leading order be written as [1,2] […”

Section: Weak Effective Hamiltonian In Su(4) Chiral Perturbation Theorymentioning

confidence: 99%

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Charm mass dependence of the weak Hamiltonian in chiral perturbation theory

Hernández¹,

Laine

2004

J. High Energy Phys.

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Suppose that the weak interaction Hamiltonian of four-flavour SU(4) chiral effective theory is known, for a small charm quark mass m c . We study how the weak Hamiltonian changes as the charm quark mass increases, by integrating it out within chiral perturbation theory to obtain a three-flavour SU(3) chiral theory. We find that the ratio of the SU(3) low-energy constants which mediate ∆I = 1/2 and ∆I = 3/2 transitions, increases rather rapidly with m c , as ∼ m c ln(1/m c ). The logarithmic effect originates from "penguin-type" charm loops, and could represent one of the reasons for the ∆I = 1/2 rule.

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“…Chiral symmetry and its breaking pattern, in combination with the concept of effective field theory first systematically put forward by Weinberg [2] , has led to a low-energy effective theory of QCD-Chiral Perturbation Theory (ChPT) [3][4][5][6][7][8][9][10] . It has long been realized that ChPT may be employed to study SU (3) breaking effects on the MMs of the baryon octet.…”

Section: Introductionmentioning

confidence: 99%

Lowest-lying spin-1/2 and spin-3/2 baryon magnetic moments in chiral perturbation theory

Geng¹,

Camalich²,

Alvarez‐Ruso³

et al. 2010

Chinese Phys. C

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We review some recent progress in our understanding of the lowest-lying spin-1/2 and spin-3/2 baryon magnetic moments (MMs) in terms of Chiral Perturbation Theory (ChPT). In particular, we show that at next-to-leading-order ChPT can describe the MMs of the octet baryons quite well. We also make predictions for the decuplet MMs at the same chiral order. Among them, the MMs of the ∆ ++ and ∆ + are found to agree well with data within the experimental uncertainties.

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Chiral perturbation theory

Abstract: Abstract. An introduction to the basic ideas and methods of Chiral Perturbation Theory is presented. Several phenomenological applications of the effective Lagrangian technique to strong, electromagnetic and weak interactions are discussed.

Cited by 513 publications

References 210 publications

Quantum Loops in the Resonance Chiral Theory: The Vector Form-Factor

Quantum Loops in the Resonance Chiral Theory: The Vector Form-Factor

Charm mass dependence of the weak Hamiltonian in chiral perturbation theory

Lowest-lying spin-1/2 and spin-3/2 baryon magnetic moments in chiral perturbation theory

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