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A bstract We describe the implementation of infrared subtractions for twoloop QCD corrections to quarkantiquark annihilation to electroweak final states. The subtractions are given as formfactor integrands whose integrals are known. The resulting subtracted amplitudes are amenable to efficient numerical integration. Our procedure is based on the universality of infrared singularities and requires a relatively limited set of subtractions, whose number grows as the number of twoloop diagrams, rather than with the number of singular regions of integration.more » « less

A bstract The exchange of a pair of neutrinos with Standard Model weak interactions generates a longrange force between fermions. The associated potential is extremely feeble, ∝ $$ {G}_F^2/{r}^5 $$ G F 2 / r 5 for massless neutrinos, which renders it far from observable even in the most sensitive experiments testing fifth forces. The presence of a neutrino background has been argued to induce a correction to the neutrino propagator that enhances the potential by orders of magnitude. In this brief note, we point out that such modified propagators are invalid if the background neutrino wavepackets have a finite width. By reevaluating the 2 ν exchange potential in the presence of a neutrino background including finite width effects, we find that the backgroundinduced enhancement is reduced by several orders of magnitude. Unfortunately, this pushes the resulting 2 ν exchange potential away from present and nearfuture sensitivity of tests of new longrange forces.more » « less

A bstract We propose a holographic description of $$ \mathcal{N} $$ N = 4 super YangMills on the fourdimensional real projective space $$ \mathbbm{RP} $$ RP 4 . We first construct the dual background in the framework of fivedimensional $$ \mathcal{N} $$ N = 8 gauged supergravity, and then uplift it to a new onehalf BPS solution of type IIB supergravity. A salient feature of our solution is the presence of a bulk naked singularity whose local behavior resembles that of an O1 − plane in flat space.more » « less

A bstract Dispersion relations for Smatrices and CFT correlators translate UV consistency into bounds on IR observables. In this note, we construct dispersive sum rules for 1D CFTs. We use them to prove bounds on higherderivative couplings in weaklycoupled nongravitational EFTs in AdS 2 . At the leading order in the bulkpoint limit, the bounds agree with the flatspace result. We compute the leading universal effect of finite AdS radius on the bounds. Along the way, we give an explicit formula for anomalous dimensions in general higherderivative contact Witten diagrams in AdS 2 .more » « less

A bstract We study Ising Field Theory (the scaling limit of Ising model near the Curie critical point) in pure imaginary external magnetic field. We put particular emphasis on the detailed structure of the YangLee edge singularity. While the leading singular behavior is controlled by the YangLee fixed point (= minimal CFT $$ \mathcal{M} $$ M 2 / 5 ), the fine structure of the subleading singular terms is determined by the effective action which involves a tower of irrelevant operators. We use numerical data obtained through the “Truncated Free Fermion Space Approach” to estimate the couplings associated with two least irrelevant operators. One is the operator $$ T\overline{T} $$ T T ¯ , and we use the universal properties of the $$ T\overline{T} $$ T T ¯ deformation to fix the contributions of higher orders in the corresponding coupling parameter α . Another irrelevant operator we deal with is the descendant L_ 4 $$ \overline{L} $$ L ¯ _ 4 ϕ of the relevant primary ϕ in $$ \mathcal{M} $$ M 2 / 5 . The significance of this operator is that it is the lowest dimension operator which breaks integrability of the effective theory. We also establish analytic properties of the particle mass M (= inverse correlation length) as the function of complex magnetic field.more » « less

A bstract We revisit from a modern bootstrap perspective the longstanding problem of solving QCD in the large N limit. We derive universal bounds on the effective field theory of massless pions by imposing the full set of positivity constraints that follow from 2 → 2 scattering. Some features of our exclusion plots have intriguing connections with hadronic phenomenology. The exclusion boundary exhibits a sharp kink, raising the tantalizing scenario that large N QCD may sit at this kink. We critically examine this possibility, developing in the process a partial analytic understanding of the geometry of the bounds.more » « less

A bstract Muon colliders are an exciting possibility for reaching the highest energies possible on the shortest timescale. They potentially combine the greatest strengths of e + e − and pp colliders by bridging the energy versus precision dichotomy. In this paper we study the sensitivity of Higgs properties that can be achieved with a future 3 or 10 TeV muon collider from single Higgs production. The results presented here represent the first comprehensive picture for the precision achievable including backgrounds and using fast detector simulation with Delphes. Additionally, we compare the results of fast detector simulation with available full simulation studies that include the muon collider specific Beam Induced Background, and show the results are largely unchanged. We comment on some of the strengths and weaknesses of a high energy muon collider for Higgs physics alone, and demonstrate the complementarity of such a collider with the LHC and e + e − Higgs factories. Furthermore, we discuss some of the exciting avenues for improving future results from both theoretical and detector R&D that could be undertaken.more » « less