ZBoson Decays To A Vector Quarkonium Plus A Photon
Abstract
We compute the decay rates for the processes Z → V + γ , where Z is the Z boson, γ is the photon, and V is one of the vector quarkonia J / ψ or Υ ( n S ) , with n = 1 , 2, or 3. Our computations include corrections through relative orders α s and v 2 and resummations of logarithms of m$$2\atop{Z}$$/$$2\atop{Q}$$, to all orders in α s , at nexttoleadinglogarithmic accuracy. ( v is the velocity of the heavy quark Q or the heavy antiquark $$\bar{Q}$$ in the quarkonium rest frame, and m Z and m Q are the masses of Z and Q , respectively.) Our calculations are the first to include both the order α s correction to the lightcone distributions amplitude and the resummation of logarithms of m$$2\atop{Z}$$/$$2\atop{Q}$$ and are the first calculations for the Υ (2S) and Υ (3S) final states. The resummations of logarithms of m$$2\atop{Z}$$/$$2\atop{Q}$$ that are associated with the order α _{s} and order v ^{2} corrections are carried out by making use of the AbelPadé method. We confirm the analytic result for the order v ^{2} correction that was presented in a previous publication, and we correct the relative sign of the direct and indirect amplitudes and some choices of scales in that publication. In conclusion, our branching fractions for Z → J / ψ + γ and Z → Υ (1 S) + γ differ by 2.0σ and 4.0 σ, respectively, from the branching fractions that are given in the most recent publication on this topic (in units of the uncertainties that are given in that publication). However, we argue that the uncertainties in the rates are underestimated in that publication.
 Authors:
 Argonne National Lab. (ANL), Argonne, IL (United States). High Energy Physics Division
 European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theory Dept.
 Korea Univ., Seoul (Korea). Dept. of Physics
 Publication Date:
 Research Org.:
 Argonne National Lab. (ANL), Argonne, IL (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25); Korean Research Foundation (KRF); National Research Foundation of Korea (NRF)
 OSTI Identifier:
 1417416
 Alternate Identifier(s):
 OSTI ID: 1426241
 Grant/Contract Number:
 AC0206CH11357; NRF 2017R1E1A1A01074699
 Resource Type:
 Journal Article: Published Article
 Journal Name:
 Physical Review D
 Additional Journal Information:
 Journal Volume: 97; Journal ID: ISSN 24700010
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Bodwin, Geoffrey T., Chung, Hee Sok, Ee, JuneHaak, and Lee, Jungil. ZBoson Decays To A Vector Quarkonium Plus A Photon. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.97.016009.
Bodwin, Geoffrey T., Chung, Hee Sok, Ee, JuneHaak, & Lee, Jungil. ZBoson Decays To A Vector Quarkonium Plus A Photon. United States. doi:10.1103/PhysRevD.97.016009.
Bodwin, Geoffrey T., Chung, Hee Sok, Ee, JuneHaak, and Lee, Jungil. Thu .
"ZBoson Decays To A Vector Quarkonium Plus A Photon". United States.
doi:10.1103/PhysRevD.97.016009.
@article{osti_1417416,
title = {ZBoson Decays To A Vector Quarkonium Plus A Photon},
author = {Bodwin, Geoffrey T. and Chung, Hee Sok and Ee, JuneHaak and Lee, Jungil},
abstractNote = {We compute the decay rates for the processes Z → V + γ , where Z is the Z boson, γ is the photon, and V is one of the vector quarkonia J / ψ or Υ ( n S ) , with n = 1 , 2, or 3. Our computations include corrections through relative orders α s and v 2 and resummations of logarithms of m$2\atop{Z}$/$2\atop{Q}$, to all orders in α s , at nexttoleadinglogarithmic accuracy. ( v is the velocity of the heavy quark Q or the heavy antiquark $\bar{Q}$ in the quarkonium rest frame, and m Z and m Q are the masses of Z and Q , respectively.) Our calculations are the first to include both the order α s correction to the lightcone distributions amplitude and the resummation of logarithms of m$2\atop{Z}$/$2\atop{Q}$ and are the first calculations for the Υ (2S) and Υ (3S) final states. The resummations of logarithms of m$2\atop{Z}$/$2\atop{Q}$ that are associated with the order αs and order v2 corrections are carried out by making use of the AbelPadé method. We confirm the analytic result for the order v2 correction that was presented in a previous publication, and we correct the relative sign of the direct and indirect amplitudes and some choices of scales in that publication. In conclusion, our branching fractions for Z → J / ψ + γ and Z → Υ (1 S) + γ differ by 2.0σ and 4.0 σ, respectively, from the branching fractions that are given in the most recent publication on this topic (in units of the uncertainties that are given in that publication). However, we argue that the uncertainties in the rates are underestimated in that publication.},
doi = {10.1103/PhysRevD.97.016009},
journal = {Physical Review D},
number = ,
volume = 97,
place = {United States},
year = {Thu Jan 18 00:00:00 EST 2018},
month = {Thu Jan 18 00:00:00 EST 2018}
}

We compute the decay rates for the processes Z → V + γ , where Z is the Z boson, γ is the photon, and V is one of the vector quarkonia J / ψ or Υ ( n S ) , with n = 1 , 2, or 3. Our computations include corrections through relative orders α s and v 2 and resummations of logarithms of mmore »

Addendum: New approach to the resummation of logarithms in Higgsboson decays to a vector quarkonium plus a photon [Phys. Rev. D 95, 054018 (2017)]
In this addendum to Phys. Rev. D 95, 054018 (2017) we recompute the rates for the decays of the Higgs boson to a vector quarkonium plus a photon, where the vector quarkonium is J/psi, Upsilon(1S) Upsilon(2S). We correct an error in the AbelPad'e summation formula that was used to carry out the evolution of the quarkonium lightcone distribution amplitude in Phys. Rev. D 95, 054018 (2017). We also correct an error in the scale of quarkonium wave function at the origin in Phys. Rev. D 95, 054018 (2017) and introduce several additional refinements in the calculation. 
Addendum: New approach to the resummation of logarithms in Higgsboson decays to a vector quarkonium plus a photon [Phys. Rev. D 95, 054018 (2017)]
In this addendum to Phys. Rev. D 95, 054018 (2017) we recompute the rates for the decays of the Higgs boson to a vector quarkonium plus a photon, where the vector quarkonium is J/psi, Upsilon(1S) Upsilon(2S). We correct an error in the AbelPad'e summation formula that was used to carry out the evolution of the quarkonium lightcone distribution amplitude in Phys. Rev. D 95, 054018 (2017). We also correct an error in the scale of quarkonium wave function at the origin in Phys. Rev. D 95, 054018 (2017) and introduce several additional refinements in the calculation.