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Durham e-Theses
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Effective Field Theories for Top Quarks at the LHC and Physics Beyond the Higgs Boson

SCOTT, DARREN,JAMES (2017) Effective Field Theories for Top Quarks at the LHC and Physics Beyond the Higgs Boson. Doctoral thesis, Durham University.

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In this thesis we have considered applications of two different types of effective field theory. The first of these, Soft Collinear Effective Theory (SCET) has been applied to the calculation of top quark pair production at hadron colliders. Building on factorisation theorems developed using SCET we present results for resummed differential cross sections of the top pair invariant mass. The highest accuracy of resummation achieved and matched to fixed order is at NNLO+NNLL\('\). Resummed predictions are compared to fixed order ones and we find that while the (N)NLO results can be sensitive to the choice of factorisation scale, the resummed results exhibit more stable behaviour. We perform a number of additional analyses to further investigate the choice of scale on the invariant mass distribution. In addition, we also present results for the \(p_T\) distribution of the top quark.

The second piece of work presented in this thesis concerns the use of the Standard Model Effective Field Theory (SMEFT). The SMEFT augments the Standard Model with higher dimensional operators which can be viewed as the low energy realisation of some as yet undiscovered physics at high scale. We use the dimension-6 SMEFT to calculate the QCD corrections to Higgs decay to bottom quarks at NLO. The main result of this section is the NLO partial decay rate for the Higgs including the dimension-6 Wilson coefficients. Finally we attempt to remove the presence of large mass logarithms through the conversion of the b-quark mass to the \(\overline{\text{MS}}\) scheme. We assess the reliability of this prediction in the limit of massless bottom quarks and find excellent agreement with the result with full mass dependence.

Item Type:Thesis (Doctoral)
Award:Doctor of Philosophy
Faculty and Department:Faculty of Science > Physics, Department of
Thesis Date:2017
Copyright:Copyright of this thesis is held by the author
Deposited On:15 Dec 2017 09:29

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