Soft Wilson lines in the soft-collinear effective theory

Chay, Junegone; Kim, Chul; Kim, Yeong Gyun; Lee, Jong-Phil

doi:10.1103/physrevd.71.056001

Cited by 61 publications

(89 citation statements)

References 27 publications

(54 reference statements)

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“…We use the same Wilson line for both the quark and antiquark parts of n . Another possibility is to make different field redefinitions on the particle and antiparticle parts of the fields [52]. In fact, all results are independent of the choice of reference point in the field redefinition; the path is determined entirely by changes the field redefinition induces on the operators and the interpolating fields for the states [53].…”

Section: A Scet With Massesmentioning

confidence: 99%

Jets from massive unstable particles: Top-mass determination

et al. 2008

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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 ÿ collisions with accuracy better than QCD . Using a sequence of effective field theories we connect the production energy, mass, and top width scales, Q m ÿ, for the top jet cross section, and derive a QCD factorization theorem for the top invariant mass spectrum. Our analysis accounts for s 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 s 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 ÿ 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 s corrections to the jet invariant mass spectrum, including a summation of large logarithms between the scales Q, m, and ÿ.

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Section: A Scet With Massesmentioning

confidence: 99%

Jets from massive unstable particles: Top-mass determination

et al. 2008

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“…15 When considering SCET without Glauber gluons these directions are often determined by those of their parent collinear particles and the structure of the product of operators being considered [120,121]. In the theory with Glauber gluons, the choice for the direction of the soft Wilson lines is not relevant, since this dependence is instead captured by contributions from the Glauber region.…”

Section: Jhep08(2016)025mentioning

confidence: 99%

“…In the calculation of S-matrix elements, the direction of the combined ultrasoft lines is determined by the product of ultrasoft lines generated by J Γ and by the interpolating fields for the incoming and outgoing states (or equivalently those of the external collinear particles) [120,121]. The directions for the ultrasoft Wilson lines in the S-matrix elements are then both (0, ∞) for n-n production, while we have Yn(−∞, 0) and Y † n (0, ∞) for the n-n quark scattering.…”

Section: Jhep08(2016)025mentioning

confidence: 99%

An effective field theory for forward scattering and factorization violation

Rothstein

Stewart

2016

J. High Energ. Phys.

135

291

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Starting with QCD, we derive an effective field theory description for forward scattering and factorization violation as part of the soft-collinear effective field theory (SCET) for high energy scattering. These phenomena are mediated by long distance Glauber gluon exchanges, which are static in time, localized in the longitudinal distance, and act as a kernel for forward scattering where |t| s. In hard scattering, Glauber gluons can induce corrections which invalidate factorization. With SCET, Glauber exchange graphs can be calculated explicitly, and are distinct from graphs involving soft, collinear, or ultrasoft gluons. We derive a complete basis of operators which describe the leading power effects of Glauber exchange. Key ingredients include regulating light-cone rapidity singularities and subtractions which prevent double counting. Our results include a novel all orders gauge invariant pure glue soft operator which appears between two collinear rapidity sectors. The 1-gluon Feynman rule for the soft operator coincides with the Lipatov vertex, but it also contributes to emissions with ≥ 2 soft gluons. Our Glauber operator basis is derived using tree level and one-loop matching calculations from full QCD to both SCET II and SCET I . The one-loop amplitude's rapidity renormalization involves mixing of color octet operators and yields gluon Reggeization at the amplitude level. The rapidity renormalization group equation for the leading soft and collinear functions in the forward scattering cross section are each given by the BFKL equation. Various properties of Glauber gluon exchange in the context of both forward scattering and hard scattering factorization are described. For example, we derive an explicit rule for when eikonalization is valid, and provide a direct connection to the picture of multiple Wilson lines crossing a shockwave. In hard scattering operators Glauber subtractions for soft and collinear loop diagrams ensure that we are not sensitive to the directions for soft and collinear Wilson lines. Conversely, certain Glauber interactions can be absorbed into these soft and collinear Wilson lines by taking them to be in specific directions. We also discuss criteria for factorization violation.

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“…ultrasoft Wilson lines [94,95], so Y (r) n may also occur with a path from (0, ∞). Indeed for e + e − → dijets all the ultrasoft Wilson lines occur with paths from (0, ∞) (see eg.…”

Section: Jhep11(2017)142mentioning

confidence: 99%

A complete basis of helicity operators for subleading factorization

Feige

Kolodrubetz

Moult

et al. 2017

J. High Energ. Phys.

193

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Factorization theorems underly our ability to make predictions for many processes involving the strong interaction. Although typically formulated at leading power, the study of factorization at subleading power is of interest both for improving the precision of calculations, as well as for understanding the all orders structure of QCD. We use the SCET helicity operator formalism to construct a complete power suppressed basis of hard scattering operators for e + e − → dijets, e − p → e − jet, and constrained Drell-Yan, including the first two subleading orders in the amplitude level power expansion. We analyze the field content of the jet and soft function contributions to the power suppressed cross section for e + e − → dijet event shapes, and give results for the lowest order matching to the contributing operators. These results will be useful for studies of power corrections both in fixed order and resummed perturbation theory.

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Soft Wilson lines in the soft-collinear effective theory

Cited by 61 publications

References 27 publications

Jets from massive unstable particles: Top-mass determination

Jets from massive unstable particles: Top-mass determination

An effective field theory for forward scattering and factorization violation

A complete basis of helicity operators for subleading factorization

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