119326742
Equivariant Rozansky-Witten classes and TFTs
Abstract We first construct the Rozansky–Witten model coupled to BF theory and Chern–Simons theory using the Alexandrov–Kontsevich–Schwarz–Zaboronsky (AKSZ) method. Then we apply the machinery developed in some earlier papers about AKSZ theories and characteristic classes to these concrete models: the BF–Rozansky–Witten model and the Chern–Simons–Rozansky–Witten model. In the former case, we obtain characteristic classes on the target hyperKahler manifold equipped with a group action as a generalization of the original Rozansky–Witten classes. We also give the prescription for similar classes associated with a holomorphic symplectic manifold and demonstrate the invariance of such classes explicitly.
49984581
On the infinity category of homotopy Leibniz algebras
We discuss various concepts of $\infty$-homotopies, as well as the relations between them (focussing on the Leibniz type). In particular $\infty$-$n$-homotopies appear as the $n$-simplices of the nerve of a complete Lie ${\infty}$-algebra. In the nilpotent case, this nerve is known to be a Kan complex \cite{Get09}. We argue that there is a quasi-category of $\infty$-algebras and show that for truncated $\infty$-algebras, i.e. categorified algebras, this $\infty$-categorical structure projects to a strict 2-categorical one. The paper contains a shortcut to $(\infty,1)$-categories, as well as a review of Getzler's proof of the Kan property. We make the latter concrete by applying it to the 2-term $\infty$-algebra case, thus recovering the concept of homotopy of \cite{BC04}, as well as the corresponding composition rule \cite{SS07}. We also answer a question of \cite{BS07} about composition of $\infty$-homotopies of $\infty$-algebras.
15055597
Dimensional regularization and dimensional reduction in the light cone
We calculate all of the 2 to 2 scattering process in Yang-Mills theory in the light cone gauge, with the dimensional regulator as the UV regulator. The IR is regulated with a cutoff in ${q}^{+}$. It supplements our earlier work, where a Lorentz noncovariant regulator was used, and the final results bear some problems in gauge fixing. Supersymmetry relations among various amplitudes are checked by using the light cone superfields.
119130700
Quantization of Poisson Manifolds from the Integrability of the Modular Function
We discuss a framework for quantizing a Poisson manifold via the quantization of its symplectic groupoid, combining the tools of geometric quantization with the results of Renault’s theory of groupoid C*-algebras. This setting allows very singular polarizations. In particular, we consider the case when the modular function is multiplicatively integrable, i.e., when the space of leaves of the polarization inherits a groupoid structure. If suitable regularity conditions are satisfied, then one can define the quantum algebra as the convolution algebra of the subgroupoid of leaves satisfying the Bohr-Sommerfeld conditions.We apply this procedure to the case of a family of Poisson structures on $${\mathbb{C}P_n}$$CPn, seen as Poisson homogeneous spaces of the standard Poisson-Lie group SU(n + 1). We show that a bihamiltonian system on $${\mathbb{C}P_n}$$CPn defines a multiplicative integrable model on the symplectic groupoid; we compute the Bohr-Sommerfeld groupoid and show that it satisfies the needed properties for applying Renault theory. We recover and extend Sheu’s description of quantum homogeneous spaces as groupoid C*-algebras.
121725996
Single transverse spin asymmetries in direct photon production
Abstract We derive single transverse spin asymmetries for direct photon production cross sections in perturbative QCD, relating them to partonic matrix elements that couple the quark and gluon fields. Our method may be generalized to asymmetries for other reactions.
122572465
A dependence of hadronic charm production
Abstract In a low-density model of nuclear shadowing we determine the ratio of total cross sections for hadronic charm production in p A and pp collisions at various c.m. energies. Defining σ p A→ c c =A α σ pp → c c , we find that α is bigger than 0.96 for all physically existing nuclie at present collider energies. We also find that the total cross section of hadronic charm production is mostly determined by a cc mass value of about twice the threshold energy.
49273245
Quark-gluon correlation functions relevant to single transverse spin asymmetries
We investigate the relative size of various twist-3 quark-gluon correlation functions relevant to single transverse spin asymmetries (SSAs) in a quark-diquark model of the nucleon. We calculate the quark-gluon correlation function T{sub q,F}(x,x) that is responsible for the gluonic pole contribution to the SSAs, as well as T{sub q,F}(0,x) and T{sub {Delta}q,F}(0,x) responsible for the fermionic pole contributions. We find in both cases of a scalar diquark and an axial-vector diquark that at the first nontrivial order only the T{sub q,F}(x,x) is finite while all other quark-gluon correlation functions vanish. Using the same model, we evaluate quark Sivers function and discuss its relation to the T{sub q,F}(x,x). We also discuss the implication of our finding to the phenomenological studies of the SSAs.
119390410
Nuclear shadowing in neutrino–nucleus deeply inelastic scattering
Abstract In the framework of the collinear factorized pQCD approach we calculate the small-xB process-dependent nuclear modification to the structure functions measured in neutrino–nucleus deeply inelastic scattering. We include both heavy quark mass corrections (M2/Q2) and resummed nuclear-enhanced dynamical power corrections in the quantity (ξ2/Q2)(A1/3−1) with ξ2 evaluated to leading order in αs. Our formalism predicts a measurable difference in the shadowing pattern of the structure functions F2A(xB,Q2) and F3A(xB,Q2) and a significant low- and moderate-Q2 modification of the QCD sum rules. We also comment on the relevance of our results to the NuTeV extraction of sin2θW.
16032592
Role of the nonperturbative input in QCD resummed Drell-Yan $Q_{T}$ distributions
We analyze the role of the nonperturbative input in the Collins-Soper-Sterman (CSS) b-space QCD resummation formalism for Drell-Yan transverse momentum (Q{sub T}) distributions, and investigate the predictive power of the CSS formalism. We find that the predictive power of the CSS formalism has a strong dependence on the collision energy S in addition to its well-known Q{sup 2} dependence, and the S dependence improves the predictive power at collider energies. We show that a reliable extrapolation from perturbatively resummed b-space distributions to the nonperturbative large b region is necessary to ensure the correct Q{sub T} distributions. By adding power corrections to the renormalization group equations in the CSS formalism, we derive a new extrapolation formalism. We demonstrate that at collider energies the CSS resummation formalism plus our extrapolation has an excellent predictive power for W and Z production at all transverse momenta Q{sub T}{<=}Q. We also show that the b-space resummed Q{sub T} distributions provide a good description of Drell-Yan data at fixed target energies.