### Abstract

We present a calculation of the rates for Higgs-boson decays to a vector heavy-quarkonium state plus a photon, where the heavy-quarkonium states are the J/ψ and the I (nS) states, with n=1, 2, or 3. The calculation is carried out in the light-cone formalism, combined with nonrelativistic QCD factorization, and is accurate at leading order in mQ2/mH2, where mQ is the heavy-quark mass and mH is the Higgs-boson mass. The calculation contains corrections through next-to-leading order in the strong-coupling constant αs and the square of the heavy-quark velocity v, and includes a resummation of logarithms of mH2/mQ2 at next-to-leading logarithmic accuracy. We have developed a new method, which makes use of Abel summation, accelerated through the use of Padé approximants, to deal with divergences in the resummed expressions for the quarkonium light-cone distribution amplitudes. This approach allows us to make definitive calculations of the resummation effects. Contributions from the order-αs and order-v2 corrections to the light-cone distribution amplitudes that we obtain with this new method differ substantially from the corresponding contributions that one obtains from a model light-cone distribution amplitude [M. König and M. Neubert, J. High Energy Phys. 08 (2015) 012JHEPFG1029-847910.1007/JHEP08(2015)012]. Our results for the real parts of the direct-process amplitudes are considerably smaller than those from one earlier calculation [G. T. Bodwin, H. S. Chung, J.-H. Ee, J. Lee, and F. Petriello, Phys. Rev. D 90, 113010 (2014)PRVDAQ1550-799810.1103/PhysRevD.90.113010], reducing the sensitivity to the Higgs-boson-heavy-quark couplings, and are somewhat smaller than those from another earlier calculation [M. König and M. Neubert, J. High Energy Phys. 08 (2015) 012JHEPFG1029-847910.1007/JHEP08(2015)012]. However, our results for the standard-model Higgs-boson branching fractions are in good agreement with those in M. König and M. Neubert, J. High Energy Phys. 08 (2015) 012JHEPFG1029-847910.1007/JHEP08(2015)012.

Original language | English |
---|---|

Article number | 054018 |

Journal | Physical Review D |

Volume | 95 |

Issue number | 5 |

DOIs | |

Publication status | Published - 2017 Mar 1 |

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### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D*,

*95*(5), [054018]. https://doi.org/10.1103/PhysRevD.95.054018

**New approach to the resummation of logarithms in Higgs-boson decays to a vector quarkonium plus a photon.** / Bodwin, Geoffrey T.; Chung, Hee Sok; Ee, June Haak; Lee, Jungil.

Research output: Contribution to journal › Article

*Physical Review D*, vol. 95, no. 5, 054018. https://doi.org/10.1103/PhysRevD.95.054018

}

TY - JOUR

T1 - New approach to the resummation of logarithms in Higgs-boson decays to a vector quarkonium plus a photon

AU - Bodwin, Geoffrey T.

AU - Chung, Hee Sok

AU - Ee, June Haak

AU - Lee, Jungil

PY - 2017/3/1

Y1 - 2017/3/1

N2 - We present a calculation of the rates for Higgs-boson decays to a vector heavy-quarkonium state plus a photon, where the heavy-quarkonium states are the J/ψ and the I (nS) states, with n=1, 2, or 3. The calculation is carried out in the light-cone formalism, combined with nonrelativistic QCD factorization, and is accurate at leading order in mQ2/mH2, where mQ is the heavy-quark mass and mH is the Higgs-boson mass. The calculation contains corrections through next-to-leading order in the strong-coupling constant αs and the square of the heavy-quark velocity v, and includes a resummation of logarithms of mH2/mQ2 at next-to-leading logarithmic accuracy. We have developed a new method, which makes use of Abel summation, accelerated through the use of Padé approximants, to deal with divergences in the resummed expressions for the quarkonium light-cone distribution amplitudes. This approach allows us to make definitive calculations of the resummation effects. Contributions from the order-αs and order-v2 corrections to the light-cone distribution amplitudes that we obtain with this new method differ substantially from the corresponding contributions that one obtains from a model light-cone distribution amplitude [M. König and M. Neubert, J. High Energy Phys. 08 (2015) 012JHEPFG1029-847910.1007/JHEP08(2015)012]. Our results for the real parts of the direct-process amplitudes are considerably smaller than those from one earlier calculation [G. T. Bodwin, H. S. Chung, J.-H. Ee, J. Lee, and F. Petriello, Phys. Rev. D 90, 113010 (2014)PRVDAQ1550-799810.1103/PhysRevD.90.113010], reducing the sensitivity to the Higgs-boson-heavy-quark couplings, and are somewhat smaller than those from another earlier calculation [M. König and M. Neubert, J. High Energy Phys. 08 (2015) 012JHEPFG1029-847910.1007/JHEP08(2015)012]. However, our results for the standard-model Higgs-boson branching fractions are in good agreement with those in M. König and M. Neubert, J. High Energy Phys. 08 (2015) 012JHEPFG1029-847910.1007/JHEP08(2015)012.

AB - We present a calculation of the rates for Higgs-boson decays to a vector heavy-quarkonium state plus a photon, where the heavy-quarkonium states are the J/ψ and the I (nS) states, with n=1, 2, or 3. The calculation is carried out in the light-cone formalism, combined with nonrelativistic QCD factorization, and is accurate at leading order in mQ2/mH2, where mQ is the heavy-quark mass and mH is the Higgs-boson mass. The calculation contains corrections through next-to-leading order in the strong-coupling constant αs and the square of the heavy-quark velocity v, and includes a resummation of logarithms of mH2/mQ2 at next-to-leading logarithmic accuracy. We have developed a new method, which makes use of Abel summation, accelerated through the use of Padé approximants, to deal with divergences in the resummed expressions for the quarkonium light-cone distribution amplitudes. This approach allows us to make definitive calculations of the resummation effects. Contributions from the order-αs and order-v2 corrections to the light-cone distribution amplitudes that we obtain with this new method differ substantially from the corresponding contributions that one obtains from a model light-cone distribution amplitude [M. König and M. Neubert, J. High Energy Phys. 08 (2015) 012JHEPFG1029-847910.1007/JHEP08(2015)012]. Our results for the real parts of the direct-process amplitudes are considerably smaller than those from one earlier calculation [G. T. Bodwin, H. S. Chung, J.-H. Ee, J. Lee, and F. Petriello, Phys. Rev. D 90, 113010 (2014)PRVDAQ1550-799810.1103/PhysRevD.90.113010], reducing the sensitivity to the Higgs-boson-heavy-quark couplings, and are somewhat smaller than those from another earlier calculation [M. König and M. Neubert, J. High Energy Phys. 08 (2015) 012JHEPFG1029-847910.1007/JHEP08(2015)012]. However, our results for the standard-model Higgs-boson branching fractions are in good agreement with those in M. König and M. Neubert, J. High Energy Phys. 08 (2015) 012JHEPFG1029-847910.1007/JHEP08(2015)012.

UR - http://www.scopus.com/inward/record.url?scp=85019897628&partnerID=8YFLogxK

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U2 - 10.1103/PhysRevD.95.054018

DO - 10.1103/PhysRevD.95.054018

M3 - Article

AN - SCOPUS:85019897628

VL - 95

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 5

M1 - 054018

ER -