Header

UZH-Logo

Maintenance Infos

QED corrections in B¯¯¯¯→K¯¯¯¯¯ℓ+ℓ− at the double-differential level


Isidori, Gino; Nabeebaccus, Saad; Zwicky, Roman (2020). QED corrections in B¯¯¯¯→K¯¯¯¯¯ℓ+ℓ− at the double-differential level. Journal of High Energy Physics, 2020(12):104.

Abstract

We present a detailed analysis of QED corrections to B¯¯¯¯→K¯¯¯¯¯ℓ+ℓ− decays at the double-differential level. Cancellations of soft and collinear divergences are demonstrated analytically using the phase space slicing method. Whereas soft divergences are found to cancel at the differential level, the cancellation of the hard-collinear logs ln mℓ require, besides photon-inclusiveness, a specific choice of kinematic variables. In particular, hard-collinear logs in the lepton-pair invariant mass distribution (q2), are sizeable and need to be treated with care when comparing with experiment. Virtual and real amplitudes are evaluated using an effective mesonic Lagrangian. Crucially, we show that going beyond this approximation does not introduce any further infrared sensitive terms. All analytic computations are performed for generic charges and are therefore adaptable to semileptonic decays such as B¯¯¯¯→Dℓν¯¯¯.

Abstract

We present a detailed analysis of QED corrections to B¯¯¯¯→K¯¯¯¯¯ℓ+ℓ− decays at the double-differential level. Cancellations of soft and collinear divergences are demonstrated analytically using the phase space slicing method. Whereas soft divergences are found to cancel at the differential level, the cancellation of the hard-collinear logs ln mℓ require, besides photon-inclusiveness, a specific choice of kinematic variables. In particular, hard-collinear logs in the lepton-pair invariant mass distribution (q2), are sizeable and need to be treated with care when comparing with experiment. Virtual and real amplitudes are evaluated using an effective mesonic Lagrangian. Crucially, we show that going beyond this approximation does not introduce any further infrared sensitive terms. All analytic computations are performed for generic charges and are therefore adaptable to semileptonic decays such as B¯¯¯¯→Dℓν¯¯¯.

Statistics

Citations

Altmetrics

Downloads

5 downloads since deposited on 04 Jan 2021
5 downloads since 12 months
Detailed statistics

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Scopus Subject Areas:Physical Sciences > Nuclear and High Energy Physics
Uncontrolled Keywords:Nuclear and High Energy Physics
Language:English
Date:1 December 2020
Deposited On:04 Jan 2021 12:11
Last Modified:05 Jan 2021 21:02
Publisher:Springer
ISSN:1029-8479
OA Status:Gold
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1007/jhep12(2020)104

Download

Gold Open Access

Download PDF  'QED corrections in B¯¯¯¯→K¯¯¯¯¯ℓ+ℓ− at the double-differential level'.
Preview
Content: Published Version
Filetype: PDF
Size: 1MB
View at publisher
Licence: Creative Commons: Attribution 4.0 International (CC BY 4.0)