The recent computation on the full threshold contributions to Higgs boson production at next-to-next-to-next-to-leading order (N$^3$LO) in QCD contains valuable information soft gluons resulting from virtual and real emission partonic subprocesses. We use those emissions obtain corresponding gluon Drell-Yan determine missing $\delta(1-z)$ part of N$^3$LO. numerical impact effects demonstrates importance our results precision study with process LHC.

We present the threshold ${\mathrm{N}}^{3}\mathrm{LO}$ perturbative QCD corrections to rapidity distributions of dileptons in Drell-Yan process and Higgs boson gluon fusion. Sudakov resummation amplitudes, renormalization group invariance, mass factorization theorem provide useful guidelines obtain them an elegant manner. use various state art three loop results that have been recently available these distributions. For boson, we demonstrate numerically importance at LHC.

We consider the production of a pseudo-scalar particle A at LHC, and present accurate theoretical predictions for its inclusive cross section in gluon fusion. The prediction is based on combining fixed-order perturbation theory all-order threshold resummation. At fixed order we include exact next-to-next-to-leading (NNLO) plus an approximate next-to-next-to-next-to-leading (N $$^3$$ LO $$_\mathrm{A}$$ ) which recent computation this scalar case. then add resummation next-to-next-to-next-to...

The coupling of a pseudo-scalar Higgs boson to gluons is mediated through heavy quark loop. In the limit large mass, it described by an effective Lagrangian that only admits light degrees freedom. this theory, we compute three-loop massless QCD corrections form factor describes gluons. Due axial anomaly, operator for gluonic field strength mixes with divergence vector current. Working in dimensional regularization and using 't Hooft-Veltman prescription current, factors quarks Using...

A bstract We present the analytic evaluation of second-order corrections to massive form factors, due two-loop vertex diagrams with a vacuum polarization insertion, exact dependence on external and internal fermion masses, squared momentum transfer. consider vector, axial-vector, scalar pseudoscalar interactions between field. After renormalization, finite expressions factors are expressed in terms polylogarithms up weight three.

A bstract The renormalization constant Z J of the flavor-singlet axial-vector current with a non-anticommuting γ 5 in dimensional regularization is determined to order $$ {\alpha}_s^3 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msubsup><mml:mi>α</mml:mi><mml:mi>s</mml:mi><mml:mn>3</mml:mn></mml:msubsup></mml:math> QCD massless quarks. result obtained by computing matrix elements operators appearing axial-anomaly equation {\left[{\partial}_{\mu...

We present the rapidity distribution of Higgs boson produced through bottom quark annihilation at third order in QCD using threshold approximation. provide a framework, based on factorization properties amplitudes along with Sudakov resummation and renormalization group invariance, that allows one to perform computation corrections consistent, systematic accurate way. The recent results N3LO correction for Drell-Yan production three loop form factor anti-bottom are used achieve this task....

We present threshold enhanced N$^3$LO QCD corrections to inclusive Higgs production through bottom anti-bottom annihilation at hadron colliders using resummed cross section. The section is obtained factorization properties and Sudakov resummation of the use recent results on in for Drell-Yan three loop form factor with quark achieve this task. This first step towards evaluation complete result. have numerically demonstrated importance such LHC.

Exclusive observables involving Higgs boson in association with jets are often well suited to study the properties. They rates cuts on final state or differential distributions of rapidity, transverse momentum observed boson. While they get dominant contributions from gluon initiated partonic subprocesses, it is important include subdominant ones coming other channels. In this article, we one such channel namely production a jet bottom anti-bottom annihilation process. We compute relevant...

We compute two-loop helicity amplitudes in QCD for diphoton production through quark- and gluon-initiated channels, accounting a massive internal quark loop by keeping its full mass dependence. Using physical projectors, we directly decompose the amplitude into components. By renormalising heavy on-shell, other quantities $\overline{\rm MS}$ schemes, obtain finite remainders. This work paves way calculating cross-section at higher orders with loop, employing different subtraction schemes....

We present the first results on third order corrections to on-shell form factor (FF) of Konishi operator in ${\cal N}=4$ supersymmetric Yang-Mills theory using Feynman diagrammatic approach modified dimensional reduction ($\overline {DR}$) scheme. show that it satisfies KG equation $\overline {DR}$ scheme while result obtained four helicity (FDH) needs be suitably not only satisfy but also get correct ultraviolet (UV) anomalous dimensions. find cusp, soft and collinear dimensions are same as...

We present the first results on production of pseudo-scalar through gluon fusion at LHC to N$^3$LO in QCD taking into account only soft effects. have used effective Lagrangian that describes coupling with gluons large top quark mass limit. recently available quantities namely three loop form factor and third order universal function achieve this. Along fixed results, we also process dependent resummation coefficient for threshold N$^3$LL QCD. Phenomenological impact these corrections is...

Production of the Higgs boson, $H$ in association with a massive vector $V$, i.e., $VH$ process, plays an important role explorations physics at Large Hadron Collider, both for precise study Higgs' Standard Model couplings and probing New Physics. In this publication we present two-loop corrections massless quantum chromodynamics (QCD) to amplitude production associated $Z$ boson via bottom quark-antiquark annihilation channel non-vanishing bottom-quark Yukawa coupling, which is necessary...

A bstract We discuss the constraints on quark and gluon energy-momentum tensors in QCD that follow from requirement of Renormalisation-Group invariance traces these operators. Our study covers most general form latter traces, while themselves are only subjected to very mild constraints. derive equations for two finite independent functions strong coupling constant renormalisation scale minimal subtraction which completely define tensors. demonstrate previously proposed definitions...

A bstract We study a set of two-loop non-planar master integrals needed for the NNLO QCD corrections to diphoton and dijet production at hadron colliders. The top-sector topology contains an internal massive fermion loop is known contain elliptic curves. Leveraging method differential equations, we provide comprehensive discussion deriving ϵ -factorized equation related most intricate sector within Feynman integral family. Despite dependence on multiple scales presence two sectors,...

Spin-2 fields are often candidates in physics beyond the Standard Model namely models with extra-dimensions where spin-2 Kaluza-Klein gravitons couple to of SM. Also, context Higgs searches, have been studied as an alternative scalar boson. In this article, we present complete three loop QCD radiative corrections quark-antiquark and gluon-gluon form factors SU(N) gauge theory $n_f$ light flavors. These contribute both initiated processes involving particle hadronic reactions at LHC. We...

The first results on the complete next-to-next-to-leading order (NNLO) Quantum Chromodynamic (QCD) corrections to production of di-leptons at hadron colliders in large extra dimension models with spin-2 particles are reported this article. In particular, we have computed these invariant mass distribution taking into account all partonic subprocesses that contribute NNLO. models, couple through energy-momentum tensor Standard Model (SM) universal coupling strength. tensorial nature...

We solve renormalization group equations that govern infrared divergences of massless and massive form factors. By comparing to recent results for planar three-loop four-loop factors in QCD, we give predictions the high-energy limit at four- factor five-loop order. Furthermore, discuss relation which connects regularized dimensionally via a small quark mass extend present literature higher

Abstract We present a systematic framework to study the threshold contributions of differential rapidity distribution for production any number colorless particles in hadronic colliders. This has been achieved based on universality structure soft enhancements associated with real emissions, along factorization property cross section and renormalization group invariance. In this formalism, we universal soft-collinear operator compute virtual generic $$2\rightarrow n$$ <mml:math...

We investigate the interaction of spin-2 fields with those Standard Model in a model independent framework. have considered interactions where couple to two sets gauge invariant tensorial operators that are not conserved unlike energy momentum tensor different coupling strengths. Such only change ultraviolet behavior couplings but also expand scope searches particles at colliders. present all relevant renormalization constants up three loop level QCD and form factors contribute potential...

A bstract We consider QCD corrections to two loops for the polarized amplitudes of $$ q\overline{q} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>q</mml:mi> <mml:mover> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> → Z + Higgs boson. First we show how b\overline{b} <mml:mi>b</mml:mi> Zh associated with a non-vanishing b -quark Yukawa coupling and scalar or pseudoscalar boson h can be built up solely from vector form factors (FF) properly grouped classes diagrams, bypassing...

We present the first calculations of two-point two-loop form factors (FFs) with a two identical operators insertion in maximally supersymmetric Yang-Mills theory. In this article, we consider supersymmetry protected half-BPS primary and unprotected Konishi operators. Unlike FFs single operator primary, involving are found to contain lower transcendentality weight terms addition highest ones. Moreover, contrast Sudakov FFs, double no longer match that Konishi. also find principle maximal...

A bstract The two-loop four-point amplitude of two massless SU(N) colored scalars and color singlet operators with different virtuality described by a half-BPS Konishi is calculated analytically in maximally supersymmetric Yang-Mills theory. We verify the ultraviolet behaviour unprotected composite operator exponentiation infrared divergences correct universal values anomalous dimensions modified dimensional reduction scheme. found to contain lower transcendental weight terms addition...