Revisiting at low energies

Gasser, J.; Ivanov, Mikhail A.; Sainio, M.E.

doi:10.1016/j.nuclphysb.2006.03.022

Cited by 141 publications

(261 citation statements)

References 50 publications

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“…. 2.9 for the same range of cutoffs as in section 4.3 indeed comes out very close to the phenomenological valuel 6 −l 5 = 3.0(0.3) [137,149,150]. As discussed in section 4.3, only the charged-pion polarizability is reproduced in this way, indicating that higher contributions to the LHC are required in the case of the neutral pion.…”

Section: Jhep04(2017)161supporting

confidence: 80%

“…The numerical evaluation for ∆ 0,++ = N 0,++ , see table 5, confirms the observation from section 4.1 that the charged-pion amplitude is better reproduced than its neutralpion analog. In fact, the charged-pion dipole polarizability comes out in perfect agreement with ChPT [137], as well as with the recent measurement by COMPASS (α 1 − β 1 ) π ± = 4.0(1.2) stat (1.4) syst × 10 −4 fm 3 [140]. The quadrupole polarizability is more sensitive to poorly-determined low-energy constants, but the sum-rule value lies within the range quoted in [137] and is also close to (α 2 − β 2 ) π ± = 15.3(3.7) × 10 −4 fm 5 obtained in [55] by combining the more stable chiral prediction for the neutral-pion quadrupole polarizability with a finite-matching-point sum rule for I = 2.…”

Section: Role Of the Pion Polarizabilitiesmentioning

confidence: 62%

“…To improve the quantitative agreement, the introduction of subtraction constants becomes unavoidable. These subtraction constants can be identified with pion polarizabilities and were taken from 2-loop ChPT [136,137] in [55]. The agreement in the charged channel implies that the corresponding sum rules for the subtraction constants, just based on the pion-pole LHC, are reasonably well fulfilled, while significant corrections are expected in the neutral channel.…”

Section: Jhep04(2017)161mentioning

confidence: 99%

“…-50 -JHEP04(2017)161 [136,137]. The two numbers in the case of the charged-pion quadrupole polarizability refer to two different sets of low-energy constants.…”

Section: Jhep04(2017)161mentioning

confidence: 99%

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Dispersion relation for hadronic light-by-light scattering: two-pion contributions

Colangelo

Hoferichter

Procura

et al. 2017

J. High Energ. Phys.

374

257

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In this third paper of a series dedicated to a dispersive treatment of the hadronic light-by-light (HLbL) tensor, we derive a partial-wave formulation for two-pion intermediate states in the HLbL contribution to the anomalous magnetic moment of the muon (g − 2) µ , including a detailed discussion of the unitarity relation for arbitrary partial waves. We show that obtaining a final expression free from unphysical helicity partial waves is a subtle issue, which we thoroughly clarify. As a by-product, we obtain a set of sum rules that could be used to constrain future calculations of γ * γ * → ππ. We validate the formalism extensively using the pion-box contribution, defined by two-pion intermediate states with a pion-pole left-hand cut, and demonstrate how the full known result is reproduced when resumming the partial waves. Using dispersive fits to high-statistics data for the pion vector form factor, we provide an evaluation of the full pion box, a π-box µ = −15.9(2)×10 −11 . As an application of the partial-wave formalism, we present a first calculation of ππ-rescattering effects in HLbL scattering, with γ * γ * → ππ helicity partial waves constructed dispersively using ππ phase shifts derived from the inverse-amplitude method. In this way, the isospin-0 part of our calculation can be interpreted as the contribution of the f 0 (500) to HLbL scattering in (g − 2) µ . We argue that the contribution due to charged-pion rescattering implements corrections related to the corresponding pion polarizability and show that these are moderate. Our final result for the sum of pion-box contribution and its S-wave rescattering corrections reads a π-box µ + a ππ,π-pole LHC µ,J=0 = −24(1) × 10 −11 .

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Section: Jhep04(2017)161supporting

confidence: 80%

Section: Role Of the Pion Polarizabilitiesmentioning

confidence: 62%

Section: Jhep04(2017)161mentioning

confidence: 99%

“…-50 -JHEP04(2017)161 [136,137]. The two numbers in the case of the charged-pion quadrupole polarizability refer to two different sets of low-energy constants.…”

Section: Jhep04(2017)161mentioning

confidence: 99%

See 2 more Smart Citations

Dispersion relation for hadronic light-by-light scattering: two-pion contributions

Colangelo

Hoferichter

Procura

et al. 2017

J. High Energ. Phys.

374

257

View full text Add to dashboard Cite

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“…It was done for both neutral pions [4] and charged ones [5]. The obtained results were found to be in agreement with the only previous calculation performed at this accuracy [6,7], provided that the same set of low-energy constants (LECs) is used.…”

Section: Introductionsupporting

confidence: 80%

Pion polarizabilities: ChPT vs Experiment

Ivanov

2016

EPJ Web Conf.

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Abstract. The values of charged pion polarizabilities obtained in the framework of chiral perturbation theory at the level of two-loop accuracy are compared with the experimental result recently reported by COMPASS Collaboration. It is found that the calculated value for the dipole polarizabilities (α − β) π ± = (5.7 ± 1.0) × 10 −4 fm 3 fits quite well the experimental result (α − β) π ± = (4.0 ± 1.2 stat ± 1.4 syst ) × 10 −4 fm 3 .

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Genetic characterization of selected parasites from people with histories of gastrointestinal disorders using a mutation scanning‐coupled approach

et al. 2013

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A SSCP analysis and targeted sequencing approach was used for the genetic characterization of some major pathogens from a cohort of 227 people with histories of gastrointestinal disorders. Genomic DNAs from fecal samples were subjected to PCR-amplification of regions in the glycoprotein (gp60) or triose phosphate isomerase (tpi) gene, or the second internal transcribed spacer of nuclear ribosomal DNA (ITS-2). Cryptosporidium, Giardia, and strongylid nematodes were detected in 94, 132 and 12 samples. Cryptosporidium hominis subgenotypes IbA10G2, IdA15G1, IgA17, IgA18, and IfA13G1 were identified in 74.6, 16.9, 5.6, 1.4, and 1.4% of 71 samples, respectively. For Cryptosporidium parvum, subgenotypes IIaA17G2R1 (47.6%) and IIaA18G3R1 (23.8%) were identified in 23 samples. Giardia duodenalis assemblage B (78%) was more common than assemblage A (22%). In addition, DNA of the nematodes Ancylostoma ceylanicum (n = 2), Ancylostoma duodenale (4), Necator americanus (5), and Haemonchus contortus (1) was specifically detected. This is the first report of A. ceylanicum in two persons in Australia and, we provide molecular evidence of H. contortus in a child. This SSCP-based approach should provide a useful diagnostic and analytical tool for a wide range of pathogens.

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Revisiting at low energies

Cited by 141 publications

References 50 publications

Dispersion relation for hadronic light-by-light scattering: two-pion contributions

Dispersion relation for hadronic light-by-light scattering: two-pion contributions

Pion polarizabilities: ChPT vs Experiment

Genetic characterization of selected parasites from people with histories of gastrointestinal disorders using a mutation scanning‐coupled approach

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