Relativistic, model-independent, multichannel 
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 transition amplitudes in a finite volume

Briceño, Raúl A.; Hansen, Maxwell T.

doi:10.1103/physrevd.94.013008

Cited by 89 publications

(178 citation statements)

References 162 publications

(292 reference statements)

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“…The latter are mainly 6 Within the framework of LCSR this could be done by using the a two-pion DA [31][32][33][34]. The technology for pursuing a B → ππ FF computation on the lattice has been put forward recently in reference [35]. 7 The importance of separating the S-wave, in the context of B → K * -type decays, was emphasised not long ago in [36].…”

Section: Discussion Of Non-resonant Background Effectsmentioning

confidence: 99%

B →Vℓ+ℓ− in the Standard Model from light-cone sum rules

Bharucha

Straub

Zwicky

2016

J. High Energ. Phys.

524

801

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We present B q → ρ, B q → ω, B q → K * , B s → K * and B s → φ form factors from light-cone sum rules (LCSR) at O(α s ) for twist-2 and 3 and O(α 0 s ) for twist-4 with updated hadronic input parameters. Three asymptotic light-cone distribution amplitudes of twist-4 (and 5) are determined, necessary for the form factors to obey the equations of motion. It is argued that the latter constrain the uncertainty of tensor-to-vector form factor ratios thereby improving the prediction of zeros of helicity amplitudes of major importance for B → K * angular observables. We provide easy-to-use fits to the LCSR results, including the full error correlation matrix, in all modes at low q 2 as well as combined fits to LCSR and lattice results covering the entire kinematic range for B q → K * , B s → K * and B s → φ. The error correlation matrix avoids the problem of overestimating the uncertainty in phenomenological applications. Using the new form factors and recent computations of non-factorisable contributions we provide Standard Model predictions for B → K * γ as well as B → K * + − and B s → φµ + µ − at low dilepton invariant mass. Employing our B → (ρ, ω) form factor results we extract the CKM element |V ub | from the semileptonic decays B → (ρ, ω) ν and find good agreement with other exclusive determinations.

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Section: Discussion Of Non-resonant Background Effectsmentioning

confidence: 99%

B →Vℓ+ℓ− in the Standard Model from light-cone sum rules

Bharucha

Straub

Zwicky

2016

J. High Energ. Phys.

524

801

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“…In addition to the generic issues related to LQCD calculations involving nucleons (Sec. 2.2), difficulties arise from the fact that (i) the quark line contractions for two-nucleon 0νββ calculations are more involved, resulting in the need for either highly improved position-space operators for the nucleons or stochastic methods for projecting onto definite momenta; (ii) the connection with infinite volume physics for two-body systems requires the calculation of scattering phase shifts coupled with a sophisticated finite-volume formalism [166,167].…”

Section: Short Distance Contributions In Pion Matrix Elementsmentioning

confidence: 99%

Lattice QCD Inputs for nuclear double beta decay

Cirigliano

Detmold

Nicholson

et al. 2020

Progress in Particle and Nuclear Physics

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Second order β-decay processes with and without neutrinos in the final state are key probes of nuclear physics and of the nature of neutrinos. Neutrinoful double-β decay is the rarest Standard Model process that has been observed and provides a unique test of the understanding of weak nuclear interactions. Observation of neutrinoless double-β decay would reveal that neutrinos are Majorana fermions and that lepton number conservation is violated in nature. While significant progress has been made in phenomenological approaches to understanding these processes, establishing a connection between these processes and the physics of the Standard Model and beyond is a critical task as it will provide input into the design and interpretation of future experiments. The strong-interaction contributions to double-β decay processes are non-perturbative and can only be addressed systematically through a combination of lattice Quantum Chromoodynamics (LQCD) and nuclear many-body calculations. In this review, current efforts to establish the LQCD connection are discussed for both neutrinoful and neutrinoless double-β decay. LQCD calculations of the hadronic contributions to the neutrinoful process nn → ppe − e −ν eνe and to various neutrinoless pionic transitions are reviewed, and the connections of these calculations to the phenomenology of double-β decay through the use of effective field theory (EFTs) is highlighted. At present, LQCD calculations are limited to small nuclear systems, and to pionic subsystems, and require matching to appropriate EFTs to have direct phenomenological impact. However, these calculations have already revealed qualitatively that there are terms in the EFTs that can only be constrained from double-β decay processes themselves or using inputs from LQCD. Future prospects for direct calculations in larger nuclei are also discussed. many-body methods and effective field theory (EFT) analysis of the transition operators, where lattice QCD can provide key input. To improve upon this situation, recent efforts have advocated an "endto-end" EFT analysis of 0νββ to link the scale Λ of LNV to nuclear scales. This multi-prong approach includes various steps:1. The use of the Standard Model EFT to link the scale Λ of LNV to the hadronic scale Λ χ ∼ O(1) GeV, where non-perturbative QCD effects arise. This step is by now mature: the operator basis (to which any underlying model can be matched) is known up to dimension-nine and the renormalization group evolution of these operators under strong interactions is known. Light new degrees of freedom (such as sterile neutrinos) can also be included in this framework.2. The matching of the quark-gluon level EFT to hadronic EFTs such as Chiral Perturbation Theory (χPT) in the meson and single nucleon sector, and chiral EFT and pionless EFT in the multinucleon sector. This step can be performed consistently in the strong and weak sectors of the theory, which in the case of interest here involves ∆L = 2 transition operators. The form of the transition operators is known to...

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“…These studies explained that indeed for some classes of currents and hadrons, one can indeed access infinite-volume observables from finite-volume matrix elements. Reference [89] was the first to derive a model-independent relation between such matrix elements and the corresponding amplitude. The 2 → 2 amplitude, W, has kinematic singularities associated with intermediate particles going on-shell.…”

Section: Future Prospectsmentioning

confidence: 99%

Resonances from lattice QCD

Briceño

2018

EPJ Web Conf.

Self Cite

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Abstract. The spectrum of hadron is mainly composed as shortly-lived states (resonance) that decay onto two or more hadrons. These resonances play an important role in a variety of phenomenologically significant processes. In this talk, I give an overview on the present status of a rigorous program for studying of resonances and their properties using lattice QCD. I explain the formalism needed for extracting resonant amplitudes from the finite-volume spectra. From these one can extract the masses and widths of resonances. I present some recent examples that illustrate the power of these ideas. I then explain similar formalism that allows for the determination of resonant electroweak amplitudes from finite-volume matrix elements. I use the recent calculation of the πγ → ππ amplitude as an example illustrating the power of this formalism. From such amplitudes one can determine transition form factors of resonances. I close by reviewing on-going efforts to generalize these ideas to increasingly complex reactions and I then give a outlook of the field.

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Relativistic, model-independent, multichannel 2→2 transition amplitudes in a finite volume

Cited by 89 publications

References 162 publications

B →Vℓ+ℓ− in the Standard Model from light-cone sum rules

B →Vℓ+ℓ− in the Standard Model from light-cone sum rules

Lattice QCD Inputs for nuclear double beta decay

Resonances from lattice QCD

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