Dispersive construction of two-loop 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>P</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:mi>π</mml:mi><mml:mi>π</mml:mi><mml:mi>π</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mi>K</mml:mi><mml:mo>,</mml:mo><mml:mi>η</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>
 amplitudes

Kampf, Karol; Knecht, Marc; Novotný, Jiří; Zdrahal, Martin

doi:10.1103/physrevd.101.074043

Cited by 19 publications

(51 citation statements)

References 133 publications

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“…Very recently, these corrections were revisited for the Dalitz decays, finding important corrections with respect to previous studies [9]. In this work [10], we address the radiative corrections for double-Dalitz decays, revising and completing the work in Ref. [11].…”

Section: Introductionmentioning

confidence: 81%

“…where the role of the doubly-virtual TFF is clear (for definitions and the exchange amplitude, we refer to Ref. [10]). Concerning higher-order virtual corrections, we express the result as…”

Section: The Radiative Correctionsmentioning

confidence: 99%

“…1 (see Ref. [10] for details). Concerning bremsstrahlung (BS), we computed it in the soft-photon approximation:…”

Section: The Radiative Correctionsmentioning

confidence: 99%

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A revision of radiative corrections to double-Dalitz decays

2019

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The radiative corrections to double-Dalitz (P →¯ ¯ ) decays are revisited and completed up to next-to-leading order in QED, finding mild differences with respect to previous studies. These might be relevant for extracting information about the mesons transition form factors, which play an important role in determining the hadronic light-by-light contribution to the anomalous magnetic moment of the muon. *

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Section: Introductionmentioning

confidence: 81%

Section: The Radiative Correctionsmentioning

confidence: 99%

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A revision of radiative corrections to double-Dalitz decays

2019

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“…The various parameters in the equation were defined in the "Origin". Notice that the t- [12,14,16], and it is reasonable to assume that it is roughly equal to 3.0.…”

Section: Modeling the Itenerancy Of The Linear Stringsmentioning

confidence: 99%

“…The width-( / 2 ) a  , in the strings direction, is a direct consequence of the checkerboard geometry, as explained in the "Origin". If the physics was in accordance with strip models [15][16][17], then this width should be doubled, which would be against STM and ARPES experiments [11]. The width-( / 2 ) a  , in the strings direction, is bordered by two nested straight lines at ( / 4 ) a   .…”

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confidence: 97%

The Itinerancy and Interactions of the Linear Strings of Holes in Copper Oxide Superconductors

Dayan

2019

J Supercond Nov Magn

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Here I present a new model for the itinerancy of the strings of holes in the Cuprates HTSC. The model assumes various scenarios with respect to the order of the holes hopping and evaluates the weighting parameters for the different scenarios. The new model still results in the aggregation of holes into strings, but yields a spectral distribution for the itinerancy rates of the strings. From this distribution I infer a spectral distribution for the magnetic interaction between the strings, which suggests also a spectral distribution for the pseudogap parameter, and some relevant experimental functions. Apart from these distributions, the basic assumptions of former relevant theories remain intact. Such assumptions are the existence of the antiferromagnetic phases A and B, the basic structure of the pseudogap ground state, the excitation operators, and the field. The ground state and the field are basically divided into two bands, the gapless low energy band, and the high energy band. Due to the wide distributions, the bands may be partially overlapped.

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On the amplitudes for the CP-conserving K±(KS) → π±(π0)ℓ+ℓ− rare decay modes

D’Ambrosio

Greynat²,

Knecht

2019

J. High Energ. Phys.

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The amplitudes for the rare decay modes K ± → π ± ℓ + ℓ − and K S → π 0 ℓ + ℓ − are studied with the aim of obtaining predictions for them, such as to enable the possibility to search for violations of lepton-flavour universality in the kaon sector. The issue is first addressed from the perspective of the low-energy expansion, and a two-loop representation of the corresponding form factors is constructed, leaving as unknown quantities their values and slopes at vanishing momentum transfer. In a second step a phenomenological determination of the latter is proposed. It consists of the contribution of the resonant two-pion state in the P wave, and of the leading short-distance contribution determined by the operator-product expansion. The interpolation between the two energy regimes is described by an infinite tower of zero-width resonances matching the QCD shortdistance behaviour. Finally, perspectives for future improvements in the theoretical understanding of these amplitudes are discussed. Contents 1 Introduction 1 2 Theory overview 5 2.1 The structure of the form factors in three-flavour QCD 5 2.2 Properties of the form factors at high momentum transfer 8 3 Low-energy expansion of the weak form factors 12 3.1 The form factors at one loop 12 3.2 The form factors beyond one loop 16 4 Extraction of a +,S and b +,S from recent data 16 5 The two-loop representation of the form factors 20 5.1 Construction of the form factors to two loops 21 5.2 Comparing W +,S;2L (z) and W +,S;b1L (z) 23 6 W + (z) beyond the low-energy expansion 25 6.1 The contribution from the two-pion state 26 6.2 Intermediate states with higher thresholds 28 6.3 The contribution from the factorized Q 7V operator 33 6.4 Evaluations of a + and b + 34 7 Summary, conclusions, outlook 35 7.1 Extracting a +,S and b +,S from recent data 35 7.2 The low-energy expansion of the form factors to two loops 35 7.3 Contribution from the two-pion state 35 7.4 Matching with the short-distance regime 36 7.5 Conclusion 36 A Numerical values 37 B The computation of ψ +,S (s) 37

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Dispersive construction of two-loop P→πππ(P=K,η) amplitudes

Cited by 19 publications

References 133 publications

A revision of radiative corrections to double-Dalitz decays

A revision of radiative corrections to double-Dalitz decays

The Itinerancy and Interactions of the Linear Strings of Holes in Copper Oxide Superconductors

On the amplitudes for the CP-conserving K±(KS) → π±(π0)ℓ+ℓ− rare decay modes

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