Resummation and NLO matching of event shapes with effective field theory

By M. Schwartz. 2007

145 citations recorded by the source corpus.

The resummed differential thrust rate in e{sup +}e{sup -} annihilation is calculated using soft-collinear effective theory (SCET). The resulting distribution in the two-jet region (T{approx}1) is found to agree with the corresponding expression derived by the standard approach. A matching procedure to account for finite corrections at T<1 is then described. There are two important advantages of the SCET approach. First, SCET manifests a dynamical seesaw scale q=p{sup 2}/Q in addition to the center-of-mass energy Q and the jet mass scale p{approx}Q{radical}((1-T)). Thus, the resummation of logs of p/q can be cleanly distinguished from the resummation of logs of Q/p. Second, finite parts of loop amplitudes appear in specific places in the perturbative distribution: in the matching to the hard function, at the scale Q, in matching to the jet function, at the scale p, and in matching to the soft function, at the scale q. This allows for a consistent merger of fixed order corrections and resummation. In particular, the total NLO e{sup +}e{sup -} cross section is reproduced from these finite parts without having to perform additional infrared regulation.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/cf7eaafc0bb172372adfb0e4665eca355c7c945c

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In Nuclear and High Energy Physics

Citations in the corpus

Higgs production with a central jet veto at NNLL+NNLO (2010, background): “[56] the quark beam-thrust soft function was obtained from the one-loop hemisphere soft function for outgoing jets [89, 90].”
Resummation of heavy jet mass and comparison to LEP data (2010, methodology): “The result is that the hemisphere soft function itself factorizes into the form [5, 6 , 22, 27]”
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Factorization at the LHC: From parton distribution functions to initial state jets (2010, background): “[94, 157], we have S ihemi(k + a , k + b ) = δ(k + a ) δ(k + b ) + δ(k + a )S (k b ) + S (k a ) δ(k + b ) , S(k) = αs(μ)CF 4π { − 8 μ [ θ(k+/μ) ln(k+/μ) k+/μ ]”
The quark beam function at NNLL (2010, background): “[1], the one-loop result for the beam thrust soft function can be extracted from the one-loop incoming hemisphere soft function [43, 26], yielding”
Factorization at the LHC: From PDFs to Initial State Jets (Ph.D. thesis) (2009, background): “rtual hemi (k +;k+ b ): (7.88) 142 Hence, S ihemi and S hemi can only dier by nite real-emission corrections at each order in perturbation theory. Using the one-loop results for Sqq hemi from Refs. [94, 157], we have Sqq ihemi (k + a;k + b ) = (k )(k b ) + (k )S1loop(k b ) + S 1loop(k a)(k b ); S1lo”
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