Electroweak corrections to charged-current e+ e- ---> 4 fermion processes: Technical details and further results

By Ansgar Denner, Stefan Dittmaier, M. Roth, L. H. Wieders. 2005

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Abstract The complete electroweak O ( α ) corrections have been calculated for the charged-current four-fermion production processes e + e − → ν τ τ + μ − ν ¯ μ , u d ¯ μ − ν ¯ μ , and u d ¯ s c ¯ . Here, technical details of this calculation are presented. These include the algebraic reduction of spinor chains to a few standard structures and the consistent implementation of the finite width of the W boson. To this end, a generalization of the complex-mass scheme to the one-loop level is proposed, and the practical application of this method is described. Finally, the effects of the complete O ( α ) corrections to various differential cross sections of physical interest are discussed and compared to predictions based on the double-pole approximation, revealing that the latter approximation is not sufficient to fully exploit the potential of a future linear collider in an analysis of W-boson pairs at high energies.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/002e106f739e27a54865e69f8b3e89188525b59c

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Citations in the corpus

Single-top hadroproduction in association with a W boson (2008, unknown): “ivergences one would need to perform the full calculation adopting a framework for the consistent inclusion of ﬁnite-width eﬀects in all kinematic regions 17 of interest (e.g. the complex mass scheme [31]). Given the scope of the present paper, a more pragmatic approach suﬃces, which has been extens”
Collider physics at the precision frontier (2020, background): “rections involving unstable particles, the widths of the particles need to be included. A consistent treatment of the width in combination with NLO calculations is provided by the complex-mass scheme [894, 895], where the width is included as a negative imaginary part of the mass via the replacement”
Collier: A fortran-based complex one-loop library in extended regularizations (2016, background): “ternal particles. Collierhas been developed and applied in the course of several cutting edge NLO QCD + electroweak calculations to scattering processes, comprising for instance e+e− → WW → 4fermions [57, 65], H → WW/ZZ → 4fermions [66, 67], pp → t¯tb¯b [68–71], pp → WWbb [72–74], pp¯ → 2ℓ+≤2j [20, ”
Les Houches 2013: Physics at TeV Colliders: Standard Model Working Group Report (2014, methodology): “The complex-mass scheme, first used for four-fermion production in e+e− physics [192],”
OpenLoops 2 (2019, methodology): “The renormalisation of masses and couplings at O(α) is based on the on-shell scheme [37] and its extension to complex masses [38] for off-shell unstable particles.”
Fully differential NNLO computations with MATRIX (2017, methodology): “. In terms of the input of the weak parameters, the G scheme is employed: When considering leptonic nal state, which are always produced via o-shell EW vector bosons, we use the complex-mass scheme [108] throughout, i.e. we use complex W- and Z-boson masses and dene the EW mixing angle as cos2 W = (”
The automation of next-to-leading order electroweak calculations (2018, background): “, one can show that an nthorder expansion leads to: W U;T ( M 2 W i WM W) W;(n) U;T (M i WM W) ˙ ˇ2 W nM W + O M W 2 ! : (5.32) The problem exposed above has indeed been pointed out in ref. [49], and a pragmatic solution proposed there is that of adding the \missing term" (i.e. the r.h.s. of”
W±Z production at the LHC: fiducial cross sections and distributions in NNLO QCD (2016, methodology): “t NNLO. More precisely, the full process that leads to a nal state with two leptons and two neutrinos is considered, including all relevant o-shell and interference eects in the complex-mass scheme [54]. The calculation is carried out with Matrix [55], a new tool that is based on the Munich Monte Ca”