A framework for the calculation of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>N</mml:mi><mml:msup><mml:mrow><mml:mi>γ</mml:mi></mml:mrow><mml:mrow><mml:mo>⁎</mml:mo></mml:mrow></mml:msup></mml:math> transition form factors on the lattice

Agadjanov, Andria; Bernard, Véronique; Meißner, Ulf‐G.; Rusetsky, Akaki

doi:10.1016/j.nuclphysb.2014.07.023

Cited by 66 publications

(47 citation statements)

References 42 publications

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“…We further show that the results are simplified in the limit of the infinitely narrow K * . In particular, they have the same form as in the previously studied one-channel problem [19].…”

Section: Introductionmentioning

confidence: 89%

“…[19]). These boxes, which are of the type L × L × L ′ , have the same symmetry properties as the symmetric ones boosted in the d = (0, 0, n) direction.…”

Section: The B → K * Form Factors On the Latticementioning

confidence: 99%

“…Here, we have in mind the hypothetical situation, when the pole is located above the ηK threshold. We have previously considered this limit in study of the ∆Nγ * transition [19]. The multichannel case is, however, more subtle, since the relations between the infinite-and finite-volume matrix elements become obscure.…”

Section: Infinitely Narrow Widthmentioning

confidence: 99%

“…Such a definition of the form factors, however, yields a process-and model-dependent result, since the background is unknown. Recently, we have proposed an alternative, process-independent definition, in which the resonance matrix element is given as a residue of the respective three-point Green's function, taken at complex resonance pole [18,19] (see also Ref. [20]).…”

Section: Introductionmentioning

confidence: 99%

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RareBmeson decays on the lattice

Agadjanov

2017

EPJ Web Conf.

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Abstract. We discuss a framework for the measurement of the B → K * transition form factors in lattice simulations, when the K * eventually decays. The possible mixing of πK and ηK states is considered. We reproduce the two-channel analogue of the LellouchLüscher formula, which allows one to extract the B → K * l + l − decay amplitude in the low-recoil region. Since the K * is a resonance, we provide a procedure to determine the form factors at the complex pole position in a process-independent manner. The infinitely-narrow width approximation of the results is also studied.

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“…We further show that the results are simplified in the limit of the infinitely narrow K * . In particular, they have the same form as in the previously studied one-channel problem [19].…”

Section: Introductionmentioning

confidence: 89%

“…[19]). These boxes, which are of the type L × L × L ′ , have the same symmetry properties as the symmetric ones boosted in the d = (0, 0, n) direction.…”

Section: The B → K * Form Factors On the Latticementioning

confidence: 99%

Section: Infinitely Narrow Widthmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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RareBmeson decays on the lattice

Agadjanov

2017

EPJ Web Conf.

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“…It is well known that resonances manifest themselves as complex poles of the scattering T-matrix on unphysical Riemann sheets. It appears natural to introduce the resonance matrix elements in a similar manner [5,6]. Such a definition involves an analytic continuation of the matrix element to the resonance pole position.…”

Section: Introductionmentioning

confidence: 99%

Resonance matrix elements on the lattice

Agadjanov

Bernard

Meißner

et al. 2016

EPJ Web of Conferences

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Abstract. The notion of resonance matrix elements is discussed. The analogue of the Lellouch-Lüscher formula for the pion photo(electro)production amplitude in the Δ(1232) resonance region is given. A prescription for the pole extraction of the ΔNγ * transition form factors is provided. Theoretical prospects on the lattice calculation of B → K * (892)l + l − form factors are briefly summarized.

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On the three-particle analog of the Lellouch-Lüscher formula

Müller¹,

Rusetsky

2021

J. High Energ. Phys.

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Using non-relativistic effective field theory, we derive a three-particle analog of the Lellouch-Lüscher formula at the leading order. This formula relates the three-particle decay amplitudes in a finite volume with their infinite-volume counterparts and, hence, can be used to study the three-particle decays on the lattice. The generalization of the approach to higher orders is briefly discussed.

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A framework for the calculation of the ΔNγ⁎ transition form factors on the lattice

Cited by 66 publications

References 42 publications

RareBmeson decays on the lattice

RareBmeson decays on the lattice

Resonance matrix elements on the lattice

On the three-particle analog of the Lellouch-Lüscher formula

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