### Abstract

We construct jet observables for energetic top quarks that can be used to determine a short-distance top quark mass from reconstruction in e+e- collisions with accuracy better than ΛQCD. Using a sequence of effective field theories we connect the production energy, mass, and top width scales, QmΓ, for the top jet cross section, and derive a QCD factorization theorem for the top invariant mass spectrum. Our analysis accounts for αs corrections from the production and mass scales, corrections due to constraints in defining invariant masses, nonperturbative corrections from the cross talk between the jets, and αs corrections to the Breit-Wigner line shape. This paper mainly focuses on deriving the factorization theorem for hemisphere invariant mass distributions and other event shapes in e+e- collisions applicable at a future linear collider. We show that the invariant mass distribution is not a simple Breit-Wigner function involving the top width. Even at leading order it is shifted and broadened by nonperturbative soft QCD effects. We predict that the invariant mass peak position increases linearly with Q/m due to these nonperturbative effects. They are encoded in terms of a universal soft function that also describes soft effects for massless dijet events. In a future paper we compute αs corrections to the jet invariant mass spectrum, including a summation of large logarithms between the scales Q, m, and Γ.

Original language | English (US) |
---|---|

Article number | 074010 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 77 |

Issue number | 7 |

DOIs | |

State | Published - Apr 14 2008 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Mathematical Physics

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*77*(7), [074010]. https://doi.org/10.1103/PhysRevD.77.074010

**Jets from massive unstable particles : Top-mass determination.** / Fleming, Sean P; Hoang, Andre H.; Mantry, Sonny; Stewart, Iain W.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 77, no. 7, 074010. https://doi.org/10.1103/PhysRevD.77.074010

}

TY - JOUR

T1 - Jets from massive unstable particles

T2 - Top-mass determination

AU - Fleming, Sean P

AU - Hoang, Andre H.

AU - Mantry, Sonny

AU - Stewart, Iain W.

PY - 2008/4/14

Y1 - 2008/4/14

N2 - We construct jet observables for energetic top quarks that can be used to determine a short-distance top quark mass from reconstruction in e+e- collisions with accuracy better than ΛQCD. Using a sequence of effective field theories we connect the production energy, mass, and top width scales, QmΓ, for the top jet cross section, and derive a QCD factorization theorem for the top invariant mass spectrum. Our analysis accounts for αs corrections from the production and mass scales, corrections due to constraints in defining invariant masses, nonperturbative corrections from the cross talk between the jets, and αs corrections to the Breit-Wigner line shape. This paper mainly focuses on deriving the factorization theorem for hemisphere invariant mass distributions and other event shapes in e+e- collisions applicable at a future linear collider. We show that the invariant mass distribution is not a simple Breit-Wigner function involving the top width. Even at leading order it is shifted and broadened by nonperturbative soft QCD effects. We predict that the invariant mass peak position increases linearly with Q/m due to these nonperturbative effects. They are encoded in terms of a universal soft function that also describes soft effects for massless dijet events. In a future paper we compute αs corrections to the jet invariant mass spectrum, including a summation of large logarithms between the scales Q, m, and Γ.

AB - We construct jet observables for energetic top quarks that can be used to determine a short-distance top quark mass from reconstruction in e+e- collisions with accuracy better than ΛQCD. Using a sequence of effective field theories we connect the production energy, mass, and top width scales, QmΓ, for the top jet cross section, and derive a QCD factorization theorem for the top invariant mass spectrum. Our analysis accounts for αs corrections from the production and mass scales, corrections due to constraints in defining invariant masses, nonperturbative corrections from the cross talk between the jets, and αs corrections to the Breit-Wigner line shape. This paper mainly focuses on deriving the factorization theorem for hemisphere invariant mass distributions and other event shapes in e+e- collisions applicable at a future linear collider. We show that the invariant mass distribution is not a simple Breit-Wigner function involving the top width. Even at leading order it is shifted and broadened by nonperturbative soft QCD effects. We predict that the invariant mass peak position increases linearly with Q/m due to these nonperturbative effects. They are encoded in terms of a universal soft function that also describes soft effects for massless dijet events. In a future paper we compute αs corrections to the jet invariant mass spectrum, including a summation of large logarithms between the scales Q, m, and Γ.

UR - http://www.scopus.com/inward/record.url?scp=42449112047&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=42449112047&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.77.074010

DO - 10.1103/PhysRevD.77.074010

M3 - Article

AN - SCOPUS:42449112047

VL - 77

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 7

M1 - 074010

ER -