Chiral Perturbation Theory at NNNLO

Hermansson-Truedsson, Nils

doi:10.3390/sym12081262

Cited by 9 publications

(3 citation statements)

References 31 publications

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“…Together with the lower orders, 4 [7,8] and 6 [9,10], and the non-anomalous (even intrinsic parity) sector of order 2 -8 [2,3,[11][12][13], our result [6] completes the ChPT Lagrangian through O ( 8 ). For future phenomenological applications, the renormalization at O ( 8 ) for both the anomalous and non-anomalous sectors also has to be studied [14].…”

Section: Introductionmentioning

confidence: 99%

The order p8 mesonic chiral Lagrangian

Bijnens

Hermansson-Truedsson

Wang

2019

J. High Energ. Phys.

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We construct the effective chiral Lagrangian for chiral perturbation theory in the mesonic even-intrinsic-parity sector at order p 6 . The Lagrangian contains 112 in principle measurable + 3 contact terms for the general case of n light flavours, 90+4 for three and 53+4 for two flavours. The equivalence between equations of motion and field redefinitions to remove spurious terms in the Lagrangians is shown to all orders in the chiral expansion. We also discuss and implement other methods for reducing the number of terms to a minimal set.

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Section: Introductionmentioning

confidence: 99%

The order p8 mesonic chiral Lagrangian

Bijnens

Hermansson-Truedsson

Wang

2019

J. High Energ. Phys.

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“…limited, mainly due to the lack of knowledge of the many low-energy constants at order O(p 8 ) [35][36][37][38]. In the following, we study Y (2) (L) using all the three values for F K A quoted above and compare the respective impacts on the FVEs.…”

Section: Kaon Decaysmentioning

confidence: 99%

Relativistic, model-independent determination of electromagnetic finite-size effects beyond the point-like approximation

Carlo¹,

Hansen²,

Hermansson-Truedsson³

et al. 2021

Preprint

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We present a relativistic and model-independent method to derive structure-dependent electromagnetic finite-size effects. This is a systematic procedure, particularly well-suited for automatization, which works at arbitrarily high orders in the large-volume expansion. Structure-dependent coefficients appear as zero-momentum derivatives of physical form factors which can be obtained through experimental measurements or auxiliary lattice calculations. As an application we derive the electromagnetic finite-size effects on the pseudoscalar meson mass and leptonic decay amplitude, through orders O(1/L 3 ) and O(1/L 2 ), respectively. The structure dependence appears at this order through the meson charge radius and the real radiative leptonic amplitude, which are known experimentally.

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“…Together with the lower orders, 𝑝 4 [7,8] and 𝑝 6 [9,10], and the non-anomalous (even intrinsic parity) sector of order 𝑝 2 -𝑝 8 [2,3,[11][12][13], our result [6] completes the ChPT Lagrangian through O ( 𝑝 8 ). For future phenomenological applications, the renormalization at O ( 𝑝 8 ) for both the anomalous and non-anomalous sectors also has to be studied [14].…”

Section: Introductionmentioning

confidence: 99%

The anomalous Lagrangian in ChPT at NNLO

Ruiz-Vidal,

Bijnens,

Hermansson-Truedsson

2024

Proceedings of the European Physical Society Conference on High Energy Physics — PoS(EPS-HEP2023)

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The anomalous Lagrangian in mesonic Chiral Perturbation Theory, of odd intrinsic parity, is determined to next-to-next-to-leading order thereby completing the order 𝑝 8 Lagrangian. A schematic view of its construction with the MINIBAR package for Mathematica is presented and the final operator count is discussed for a general number of light quark flavours as well as for the physical cases 𝑁 𝑓 = 2, 3. The number of operators in our explicit construction of the Lagrangian basis is consistent with the number derived using the Hilbert series in the literature.

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Chiral Perturbation Theory at NNNLO

Cited by 9 publications

References 31 publications

The order p8 mesonic chiral Lagrangian

The order p8 mesonic chiral Lagrangian

Relativistic, model-independent determination of electromagnetic finite-size effects beyond the point-like approximation

The anomalous Lagrangian in ChPT at NNLO

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