The utility of quantum computers for simulating lattice gauge theories is currently limited by the noisiness physical hardware. Various error mitigation strategies exist to reduce statistical and systematic uncertainties in simulations via improved algorithms analysis strategies. We perform ${\mathbb{Z}}_{2}$ theory with matter study efficacy interplay different methods: readout mitigation, randomized compiling, rescaling, dynamical decoupling. compute Minkowski correlation functions this...

A bstract We present a simple parton-shower model that replaces the explicit angular ordering of coherent branching formalism with differentially accurate simulation soft-gluon radiation by means non-trivial dependence splitting functions on azimuthal angles. introduce global kinematics mapping and provide an analytic proof it satisfies criteria for next-to leading logarithmic accuracy. In new algorithm, initial final state evolution are treated same footing. implementation final-state in...

A bstract We calculate the next-to-next-to-leading order QCD corrections to leptonic invariant mass ( q 2 ) spectrum of semileptonic b → c inclusive decays, taking into account charm quark and charged lepton in final state. obtain analytic results terms generalized polylogarithms present numerical studies $$ \mathcal{O} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>O</mml:mi> </mml:math> {\alpha}_s^2 <mml:msubsup> <mml:mi>α</mml:mi> <mml:mi>s</mml:mi> <mml:mn>2</mml:mn>...

We present a simple yet efficient algorithm for phase-space integration at hadron colliders. Individual mappings consist of single t-channel combined with any number s-channel decays, and are constructed using diagrammatic information. The factorial growth in the channels is tamed by providing an option to limit topologies. provide publicly available, parallelized code C++ test its performance typical LHC scenarios.

An important ingredient for the calculation of Higgs boson properties in infinite top quark mass limit is knowledge effective coupling between bosons and gluons, i.e. Wilson coefficients $C_H$ $C_{HH}$ one two bosons, respectively. In this work we calculate first time to four loops a direct, diagrammatic way, discussing detail all issues arising due renormalization operator products. Furthermore, also coefficient single gluons as well loop decoupling relations QCD with general SU$(N_c)$...

We compute the beta functions for three gauge couplings and Yukawa matrices of a general two-Higgs-doublet model in modified minimal subtraction scheme to loops. The calculations are performed using Lorenz unbroken phase. discuss detail occurrence poles anomalous dimensions propose practical prescriptions avoid them. provide explicit results often used ${\mathbb{Z}}_{2}$-symmetric versions types I, II, X, Y. Furthermore, we first independent cross-check three-loop coupling Standard Model.

We compute the beta functions of three Standard Model gauge couplings to four-loop order in modified minimal subtraction scheme. At this a proper definition $\gamma_5$ $D=4-2\epsilon$ space-time dimensions is required; however, our calculation we determine $\gamma_5$-dependent terms by exploiting relations with function coefficients at lower loop orders.

We determine the full set of coefficients for completely general 4-loop gauge and 3-loop Yukawa $ \beta $-functions most renormalizable four-dimensional theories. Using a complete parametrization $-functions, we compare form to specific known theories constrain unknown coefficients. The Weyl consistency conditions provide additional constraints, completing determination.

A bstract In this paper we consider the next-to-next-to-leading order total cross section of Higgs boson pair production in large top quark mass limit and compute four expansion terms 1 / $$ {m}_t^2 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msubsup><mml:mi>m</mml:mi><mml:mi>t</mml:mi><mml:mn>2</mml:mn></mml:msubsup></mml:math> . To end, analytically real-virtual double-real contributions to combine them with existing virtual contribution. Good convergence is observed...

A bstract We compute the real-radiation corrections, i.e. virtual corrections to single real emission of a parton, Higgs boson pair production at next-to-next-to-leading order in QCD, an expansion for large top quark mass. concentrate on radiative interference contribution from next-to-leading one-particle reducible and leading amplitudes. This is well defined gauge invariant subset full real-virtual inclusive cross section. obtain analytic results all phase-space master integrals both as...

A bstract There is an ambiguity in choosing field-strength renormalization factors the $$ \overline{\mathrm{MS}} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mi>MS</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> scheme starting from 3-loop order perturbation theory. More concerning, trivially Hermitian has been shown to produce divergent group functions, which are commonly understood be finite quantities. We demonstrate that divergences of RG functions such...

Global fits to moments of kinematic distributions measured in inclusive semileptonic B\rightarrow X_c l \nu_l <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>B</mml:mi><mml:mo>→</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mi>l</mml:mi><mml:msub><mml:mi>ν</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:math> enable the determination Cabibbo-Kobayashi-Maskawa matrix element \left|V_{cb}\right|...

The search for the pair-production of Higgs boson and precise study its properties are among corner stones physics programme Large Hadron Collider its High-Luminosity upgrade. This thesis focuses on evaluation higher-order corrections to pair production: effective two-Higgs boson–gluon coupling at four loops next-to-next- to-leading order total inclusive cross-section including finite top-quark mass effects. In addition, top-quark mass effects in vertex studied at four-loop decay...

The physical properties of cytoskeletal networks are contributors in a number mechanical responses cells including cellular deformation and locomotion, crucial for the proper action living cells. Local chemical gradients modulate functionality interactions cytoskeleton with other components. Actin is major constituent cytoskeleton. Introducing microfluidic-based platform, we explored impact concentration on formation structural actin networks. Microfluidics-controlled flow-free steady state...

Future precision measurements of Higgs boson decays will determine the branching fraction for decay into two photons with a at one percent level. To fully exploit such measurements, equally precise theoretical predictions need to be available. this end we compute four-loop QCD corrections in large top quark mass expansion boson--photon form factor, which enter two-photon width next-to-next-to-next-to-leading order. Furthermore obtain stemming from emission additional gluons, contribute first...

We compute four-loop corrections to the Higgs boson gluon vertex, including finite top quark mass effects. Analytic results are presented which serve as a building block for next-to-next-to-next-to-leading order production at Large Hadron Collider CERN.

The utility of quantum computers for simulating lattice gauge theories is currently limited by the noisiness physical hardware. Various error mitigation strategies exist to reduce statistical and systematic uncertainties in simulations via improved algorithms analysis strategies. We perform $1+1d$ $\mathbb{Z}_2$ theory with matter study efficacy interplay different methods: readout mitigation, randomized compiling, rescaling, dynamical decoupling. compute Minkowski correlation functions this...

We present a simple yet efficient algorithm for phase-space integration at hadron colliders. Individual mappings consist of single t-channel combined with any number s-channel decays, and are constructed using diagrammatic information. The factorial growth in the channels is tamed by providing an option to limit topologies. provide publicly available, parallelized code C++ test its performance typical LHC scenarios.

We introduce a new parameterization of $B\rightarrow D \pi \ell \nu$ form factors using partial-wave expansion and derive bounds on the series coefficients analyticity unitarity. This is first generalization model-independent formalism developed by Boyd, Grinstein, Lebed for $B \to to semileptonic decays with multi-hadron final states, enables data-driven factor determinations robust, systematically-improvable uncertainties. Using this formalism, we extract form-factor parameters...

We present a simple parton-shower model that replaces the explicit angular ordering of coherent branching formalism with differentially accurate simulation soft-gluon radiation by means non-trivial dependence on azimuthal angles. introduce global kinematics mapping and provide an analytic proof it satisfies criteria for next-to leading logarithmic accuracy. In new algorithm, initial final state evolution are treated same footing. implementation final-state in numerical code Alaric first...

In this contribution we consider NNLO real radiation corrections to the total cross section for Higgs boson pair production in gluon fusion. Special emphasis is put on check of asymptotic expansion inverse top quark mass.