Phenomenological applications of rational approximants

S. Gonzàlez-Solís; P. Masjuan

doi:10.1142/S0217732316300287

Phenomenological applications of rational approximants

S. Gonzàlez-Solís, P. Masjuan

Department of Physics

Research output: Contribution to journal › Article › Research › peer-review

1 Citation (Scopus)

Abstract

We illustrate the powerfulness of Padé approximants (PAs) as a summation method and explore one of their extensions, the so-called quadratic approximant (QAs), to access both space- and (low-energy) time-like (TL) regions. As an introductory and pedagogical exercise, the function
1
𝑧

⁢ln⁡(1+𝑧)
is approximated by both kind of approximants. Then, PAs are applied to predict pseudoscalar meson Dalitz decays and to extract 𝑉𝑢⁢𝑏
from the semileptonic 𝐵→𝜋⁢ℓ⁢𝜈ℓ
decays. Finally, the 𝜋
vector form factor in the TL region is explored using QAs.

Original language	English
Article number	1630028
Journal	Modern Physics Letters A
Volume	31
Issue number	29
DOIs	https://doi.org/10.1142/S0217732316300287
Publication status	Published - 2016

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title = "Phenomenological applications of rational approximants",

abstract = "We illustrate the powerfulness of Pad{\'e} approximants (PAs) as a summation method and explore one of their extensions, the so-called quadratic approximant (QAs), to access both space- and (low-energy) time-like (TL) regions. As an introductory and pedagogical exercise, the function 1𝑧 ⁢ln⁡(1+𝑧) is approximated by both kind of approximants. Then, PAs are applied to predict pseudoscalar meson Dalitz decays and to extract 𝑉𝑢⁢𝑏 from the semileptonic 𝐵→𝜋⁢ℓ⁢𝜈ℓ decays. Finally, the 𝜋 vector form factor in the TL region is explored using QAs.",

author = "S. Gonz{\`a}lez-Sol{\'i}s and P. Masjuan",

year = "2016",

doi = "10.1142/S0217732316300287",

language = "English",

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journal = "Modern Physics Letters A",

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T1 - Phenomenological applications of rational approximants

AU - Gonzàlez-Solís, S.

AU - Masjuan, P.

PY - 2016

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AB - We illustrate the powerfulness of Padé approximants (PAs) as a summation method and explore one of their extensions, the so-called quadratic approximant (QAs), to access both space- and (low-energy) time-like (TL) regions. As an introductory and pedagogical exercise, the function 1𝑧 ⁢ln⁡(1+𝑧) is approximated by both kind of approximants. Then, PAs are applied to predict pseudoscalar meson Dalitz decays and to extract 𝑉𝑢⁢𝑏 from the semileptonic 𝐵→𝜋⁢ℓ⁢𝜈ℓ decays. Finally, the 𝜋 vector form factor in the TL region is explored using QAs.

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DO - 10.1142/S0217732316300287

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SN - 0217-7323

VL - 31

JO - Modern Physics Letters A

JF - Modern Physics Letters A

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M1 - 1630028

ER -

Phenomenological applications of rational approximants

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