115177817
Local Mirror Symmetry for One-Legged Topological Vertex
We prove the Bouchard-Mari\~no Conjecture for the framed one-legged topological vertex by deriving the Eynard-Orantin type recursion relations from the cut-and-join equation satisfied by the relevant triple Hodge integrals. This establishes a version of local mirror symmetry for the local $C^3$ geometry with one $D$-brane.
8970059
On a Proof of a Conjecture of Marino-Vafa on Hodge Integrals
We prove a remarkable formula for Hodge integrals conjectured by Marino and Vafa based on large N duality, using functorial virtual localization on certain moduli spaces of relative stable morphisms.
18702885
Curve counting and instanton counting
We prove some combinatorial results required for the proof of the following conjecture of Nekrasov: The generating function of closed string invariants in local Calabi-Yau geometries obtained by appropriate fibrations of $A_N$ singularities over $P^1$ reproduce the generating function of equivariant $\hat{A}$-genera of moduli space of instants on $C^2$.
119173691
Some integrality properties in local mirror symmetry
We prove some integrality properties of the open-closed mirror maps, inverse open-closed mirror maps and mirror curves of some local Calabi-Yau geometries.
2897011
A formula of two-partition Hodge integrals
JMg,n where tpi = ci(L?) is the first Chern class of L?, and Xj = Cj(E) is the j-th Chern class of the Hodge bundle. The study of Hodge integrals is an important part of intersection theory on Mg,n> Hodge integrals also naturally arise when one computes Gromov-Witten invariants by localization techniques. For example, the following generating series of Hodge integrals arises when one computes local invariants of a toric Fano surface in a Calabi-Yau 3-fold by virtual localization [33]:
119648995
On fermionic representation of the framed topological vertex
A bstractThe Gromov-Witten invariants of ℂ3$$ {\mathbb{C}}^3 $$ with branes is encoded in the topological vertex which has a very complicated combinatorial expression. A simple formula for the topological vertex was proposed by Aganagic et al. in the fermionic picture. We will propose a similar formula for the framed topological vertex and prove it in the case when there are one or two branes.
118637095
Transverse single spin asymmetry in direct photon production in polarized pA collisions
We study the transverse single spin asymmetry in direct photon production in pA collisions with incoming protons being transversely polarized. To facilitate the calculation, we formulate a hybrid approach in which the nucleus is treated in the Color Glass Condensate (CGC) framework while the collinear twist-3 formalism is applied on the proton side. It has been found that an additional term which arises from color entanglement shows up in the spin dependent differential cross section. The fact that this additional term is perturbatively calculable allows us to quantitatively study color entanglement effects.
119260156
Higgs boson production in high energy proton-nucleus collisions
AbstractWe study Higgs boson production from gluon-gluon fusion at mid-rapidity in high energy proton-nucleuscollisions.Forthisprocessthe presentlystilllittle knowngluondistributionfunction h ⊥g1 (x,k ⊥ )might give a numerically relevant contribution. We show by explicite calculation that using CGC(color glass condensate) model input the result obtained in the naive k t factorization approachmatches the result obtained in the TMD factorization framework for a dilute medium. We also ver-ify the earlier ﬁnding [14] that the k t factorization formalism for Higgs production breaks down ina dense medium. In doing so we formulate a hybrid model which allows one to treat such reactionstheoretically. 1 Introduction In recent years the theoretical understanding of transverse momentum dependent (TMD) partondistributions has made tremendous progress, up to the point that their further investigation can serveas one of the motivations for a new electron-ion collider [1]. Still there are many aspects which needfurther study. An especially interesting one is relevant for Higgs-production at the LHC. In thiscase it was realized that for pp collisions in addition to the standard gluon contribution one gets acontribution proportional to a little known distribution function, usually refereed to as the distributionof linearly polarized gluons [2,3] (h
119230980
Drell–Yan lepton pair azimuthal asymmetry in hadronic processes
Abstract We study the azimuthal asymmetry ( cos 2 ϕ ) in the Drell–Yan lepton pair production in hadronic scattering processes at moderate transverse momentum region, taking into account the contributions from the twist-three quark–gluon correlations from the unpolarized hadrons. The contributions are found to dominate the asymmetry, and are not power suppressed by q ⊥ / Q at small q ⊥ where q ⊥ and Q are the transverse momentum and invariant mass of the lepton pair. Accordingly, the Lam–Tung relation will be violated at this momentum region, and its violation depends on the twist-three functions. However, at large transverse momentum q ⊥ ∼ Q , the Lam–Tung relation still holds because all corrections are power suppressed by Λ 2 / q ⊥ 2 ∼ Λ 2 / Q 2 where Λ is the typical nonperturbative scale.
118493907
Transverse spin asymmetries for W-production in proton–proton collisions
Abstract We study parity-even and parity-odd polarization observables for the process p p → l ± X , where the lepton comes from the decay of a W -boson. By using the collinear twist-3 factorization approach, we consider the case when one proton is transversely polarized, while the other is either unpolarized or longitudinally polarized. These observables give access to two particular quark–gluon–quark correlation functions, which have a direct relation to transverse momentum dependent parton distributions. We present numerical estimates for RHIC kinematics. Measuring, for instance, the parity-even transverse single spin correlation would provide a crucial test of our current understanding of single spin asymmetries in the framework of QCD.
73539334
Twist-three Fragmentation Function Contribution to the Single Spin Asymmetryin pp Collisions
We study the twist-three fragmentation function contribution to the single transverse spin asymmetries in inclusive hadron production in pp collisions, pp->h+X. In particular, we evaluate the so-called derivative contribution which dominates the spin asymmetry in the forward direction of the polarized proton. With certain parametrizations for the twist-three fragmentation function, we estimate its contribution to the asymmetry of pi0 production at RHIC energy. We find that the contribution is sizable and might be responsible for the big difference between the asymmetries in eta and pi0 productions observed by the STAR collaboration at RHIC.