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@PHDTHESIS{Ebert:333147,
author = {Ebert, Markus},
othercontributors = {Tackmann, Frank},
title = {{P}recision {P}redictions for {H}iggs {D}ifferential
{D}istributions at the {LHC}},
school = {Universität Hamburg},
type = {Dissertation},
address = {Hamburg},
publisher = {Verlag Deutsches Elektronen-Synchrotron},
reportid = {PUBDB-2017-08764, DESY-THESIS-2017-033},
series = {DESY-THESIS},
pages = {217},
year = {2017},
note = {Dissertation, Universität Hamburg, 2017},
abstract = {After the discovery of a Standard-Model-like Higgs boson at
the LHCa central aspect of the LHC physics program is to
studythe Higgs boson's couplings to Standard Model particles
in detailin order to elucidate the nature of the Higgs
mechanismand to search for hints of physics beyond the
Standard Model.This requires precise theory predictions for
both inclusiveand differential Higgs cross sections.In this
thesis we focus on the application of resummation
techniquesin the framework of Soft-Collinear Effective
Theory (SCET)to obtain accurate predictions with reliable
theory uncertaintiesfor various observables.We first
consider transverse momentum distributions,where the
resummation of large logarithms in momentum (or
distribution) spacehas been a long-standing open question.We
show that its two-dimensional nature leads to additional
difficultiesnot observed in one-dimensional observables such
as thrust,and solving the associated renormalization group
equations (RGEs)in momentum space thus requires a very
careful scale setting.This is achieved using distributional
scale setting,a new technique to solve differential
equations such as RGEs directly in distribution space,as it
allows one to treat logarithmic plus distributions like
ordinary logarithms.We show that the momentum space solution
fundamentally differs from the standard resummationin
Fourier space by different boundary terms to all orders in
perturbation theoryand hence provides an interesting and
complementary approach to obtain new insightinto the
all-order perturbative and nonperturbative structure
oftransverse momentum distributions.Our work lays the ground
for a detailed numerical study of themomentum space
resummation.We then show that in the case of a discovery of
a new heavy color-singlet resonancesuch as a heavy Higgs
boson, one can reliably and model-independently inferits
production mechanism by dividing the data into two mutually
exclusive jet bins.The method is based on a resummation
framework that preciselypredicts the jet cut dependence and
systematically incorporates theory uncertaintiesand their
correlations among the jet bins. The technique is
demonstratedfor an example scalar resonance of mass $m_X =
750~\mathrm{GeV}$.It can also be applied to and tested in
diphoton productionwhich receives contributions from both
quark annihilation and gluon fusion.Here, the presence of
final state photons requires photon isolation cutswhich
yield unresummed nonglobal logarithms.As a first step
towards the full analysis, we show that these are
numerically smalland can be incorporated in fixed-order
perturbation theory.Vice versa, we find that the jet veto
renders contributions from fragmentation photons power
suppressed,and thus is a particularly clean channel to study
direct diphoton production at the LHC.Lastly, we discuss the
resummation of timelike logarithms $\ln^2(-1)=-\pi^2$in
Higgs production, arising in the form factor at timelike
momentum transfer.Their resummation is well understood in
exclusive cross sections known to factorize.We show how to
consistently incorporate the resummation into inclusive
cross sections,discussing in detail the validity of the
technique and associated uncertainties.The method is first
applied to the total cross section in gluon fusion Higgs
productionat N$^3$LO$+$N$^3$LL$^\prime$, where it
significantly improves perturbative convergenceand reduces
perturbative uncertainties by about a factor of two.We also
obtain the currently most precise Higgs rapidity spectrum at
NNLO$+$NNLL$^\prime$with a similar reduction of
uncertainties.The effect is less pronounced in bottom-quark
annihilation,but still shows that the resummation of
timelike logarithmsis a beneficial and viable tool for Higgs
production.},
cin = {T},
cid = {I:(DE-H253)T-20120731},
pnm = {611 - Fundamental Particles and Forces (POF3-611) / PHGS,
VH-GS-500 - PIER Helmholtz Graduate School
$(2015_IFV-VH-GS-500)$},
pid = {G:(DE-HGF)POF3-611 / $G:(DE-HGF)2015_IFV-VH-GS-500$},
experiment = {EXP:(DE-MLZ)NOSPEC-20140101},
typ = {PUB:(DE-HGF)3 / PUB:(DE-HGF)11},
doi = {10.3204/PUBDB-2017-08764},
url = {https://bib-pubdb1.desy.de/record/333147},
}