2008
DOI: 10.1016/j.nuclphysb.2007.11.019
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Next-to-next-to-leading electroweak logarithms in W-pair production at ILC

Abstract: We derive the high energy asymptotic behavior of gauge boson production cross section in a spontaneously broken SU (2) gauge theory in the next-to-next-to-leading logarithmic approximation. On the basis of this result we obtain the logarithmically enhanced two-loop electroweak corrections to the differential cross section of W -pair production at ILC/CLIC up to the second power of the large logarithm.

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Cited by 22 publications
(6 citation statements)
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“…To the leading order of the small-mass expansion these are renowned "Sudakov" logarithms which have been extensively studied since the pionering work [29]. The structure of the Sudakov logarithms in the theories with massive fermions and gauge bosons is by now well understood [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48]. The characteristic feature of the gg → H amplitude however is that it vanishes in the limit of the massless quark m q → 0 i.e.…”
Section: General Structure Of the Leading And Next-to-leading Logarithmsmentioning
confidence: 99%
“…To the leading order of the small-mass expansion these are renowned "Sudakov" logarithms which have been extensively studied since the pionering work [29]. The structure of the Sudakov logarithms in the theories with massive fermions and gauge bosons is by now well understood [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48]. The characteristic feature of the gg → H amplitude however is that it vanishes in the limit of the massless quark m q → 0 i.e.…”
Section: General Structure Of the Leading And Next-to-leading Logarithmsmentioning
confidence: 99%
“…Starting with the N 3 LL approximation, the corrections become sensitive to the details of the gauge-boson mass generation [533]. This method has been applied to sum the EW logarithms to the vector form factor and neutral-current 4-fermion amplitudes at the NLL [521], N 2 LL [536], and N 3 LL level [533], and for W-pair production at the ILC and LHC at the N 2 LL level [568,569]. Various explicit two-loop calculations have been performed to verify the resummation of the subleading logarithms [532,535,537].…”
Section: Resummation Of Ew Double-logarithmic Correctionsmentioning
confidence: 99%
“…This line of research was motivated by the necessity of including at least the dominant two-loop terms, once one-loop corrections exceed the 20 − 30% level. Using evolution equations, originally derived in the context of QED [20][21][22][23] and QCD, fourfermion processes have been studied up to N 4 LL [7,[13][14][15][16], W-pair production in electronpositron and quark-antiquark annihilation up to N 3 LL [24,25]. Employing diagrammatic methods or the framework of soft-collinear effective field theory most of these results were confirmed in the NLL and NNLL approximation [10,12,18,26].…”
Section: Introductionmentioning
confidence: 96%