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Large hadronic power corrections or new physics in the rare decay $B \to K^* \mu^+ \mu^-$ ?
https://cds.cern.ch/record/2253649
The well-known problem of the unknown power corrections within QCD improved factorisation leaves the interpretation of the so-called LHCb anomalies in the angular observables of B-->K* mu+ mu- as an open problem. In order to contribute to the question whether they represent a first sign for new physics beyond the Standard Model or a consequence of underestimated hadronic power corrections, we present a direct comparison of two global fits to the data based on the two different assumptions. In addition, we summarise the possible options to resolve this puzzle in the future.Chobanova, V.G.Hurth, T.Mahmoudi, F.Martinez Santos, D.Neshatpour, S.Tue, 28 Feb 2017 06:18:42 GMT2017-02-07CERN-TH-2017-031https://cds.cern.ch/record/22536492017031Topics in Higgs Physics
https://cds.cern.ch/record/2253419
These lecture notes review the theoretical background to the Higgs boson, provide an introduction to its phenomenology, and describe the experimental tests that lead us to think that "beyond any reasonable doubt, it is a Higgs boson". Motivations for expecting new physics beyond the Standard Model are recalled, and the Standard Model effective field theory is advocated as a tool to help search for it. The phenomenology of $N = 1$ and $N = 2$ supersymmetric Higgs bosons is reviewed, and the prospects for possible future Higgs factories are previewed.Ellis, JohnSat, 25 Feb 2017 06:55:49 GMT2017-02-17KCL-PH-TH-2017-09https://cds.cern.ch/record/2253419201709A string realisation of $\varOmega$-deformed Abelian $\mathcal{N}=2^*$ theory
https://cds.cern.ch/record/2253418
The $\mathscr{N}=2^*$ supersymmetric gauge theory is a massive deformation of $\mathscr{N}=4$, in which the adjoint hypermultiplet gets a mass. We present a D-brane realisation of the (non-)Abelian $\mathscr{N}=2^*$ theory, and compute suitable topological amplitudes, which are expressed as a double series expansion. The coefficients determine couplings of higher-dimensional operators in the effective supergravity action that involve powers of the anti-self-dual $\mathscr{N}=2$ chiral Weyl superfield and of self-dual gauge field strengths superpartners of the D5-brane coupling modulus. In the field theory limit, the result reproduces the Nekrasov partition function in the two-parameter $\varOmega$-background, in agreement with a recent proposal.Angelantonj, CarloAntoniadis, IgnatiosSamsonyan, MarineSat, 25 Feb 2017 06:55:47 GMT2017-02-16CERN-TH-2017-038https://cds.cern.ch/record/22534182017038Hypermagnetic knots and gravitational radiation at intermediate frequencies
https://cds.cern.ch/record/2253416
The maximally gyrotropic configurations of the hypermagnetic field at the electroweak epoch can induce a stochastic background of relic gravitational waves with comoving frequencies ranging from the $\mu$Hz to the kHz. Using two complementary approaches we construct a physical template family for the emission of the gravitational radiation produced by the hypermagnetic knots. The current constraints and the presumed sensitivities of the advanced wide-band interferometers (both terrestrial and space-borne) are combined to infer that the lack of observations at intermediate frequencies may invalidate the premise of baryogenesis models based (directly or indirectly) on the presence of gyrotropic configurations of the hypermagnetic field at the electroweak epoch.Giovannini, MassimoSat, 25 Feb 2017 06:55:34 GMT2017-02-14arXiv:1702.04293https://cds.cern.ch/record/2253416['arXiv:1702.04293']arXiv:1702.04293Multiple D3-instantons and mock modular forms II
https://cds.cern.ch/record/2253218
We analyze the modular properties of D3-brane instanton corrections to the hypermultiplet moduli space in type IIB string theory compactified on a Calabi-Yau threefold. In Part I, we found a necessary condition for the existence of an isometric action of S-duality on this moduli space: the generating function of DT invariants in the large volume attractor chamber must be a vector-valued mock modular form with specified modular properties. In this work, we prove that this condition is also sufficient at two-instanton order. This is achieved by producing a holomorphic action of SL(2,Z) on the twistor space which preserves the holomorphic contact structure. The key step is to cancel the anomalous modular variation of the Darboux coordinates by a local holomorphic contact transformation, which is generated by a suitable indefinite theta series. For this purpose we introduce a new family of theta series of signature (2,n-2), find their modular completion, and conjecture sufficient conditions for their convergence, which may be of independent mathematical interest.Alexandrov, SergeiBanerjee, SibasishManschot, JanPioline, BorisThu, 23 Feb 2017 06:06:23 GMT2017-02-17L2C:17-011https://cds.cern.ch/record/2253218L2C:17011QED Corrections to Hadronic Observables
https://cds.cern.ch/record/2252573
When aiming at the percent precision in hadronic quantities calculated by means of lattice simulations, isospin breaking effects become relevant. These are of two kinds: up/down mass splitting and electromagnetic corrections. In order to account properly for the latter, a consistent formulation of electrically-charged states in finite volume is needed. In fact on a periodic torus Gauss law and large gauge transformations forbid the propagation of electrically-charged states. In this talk I will review methods that have been used or proposed so far in order to circumvent this problem, while highlighting practical as well as conceptual pros and cons. I will also review and discuss various methods to calculate electromagnetic corrections to hadron masses and decay rates in numerical simulations.Patella, AgostinoThu, 16 Feb 2017 06:58:44 GMT2017-02-13CERN-TH-2017-019https://cds.cern.ch/record/22525732017019Bootstrapping Mixed Correlators in 4D $\mathcal{N}=1$ SCFTs
https://cds.cern.ch/record/2245544
The numerical conformal bootstrap is used to study mixed correlators in $\mathcal{N}=1$ superconformal field theories (SCFTs) in $d=4$ spacetime dimensions. Systems of four-point functions involving scalar chiral and real operators are analyzed, including the case where the scalar real operator is the zero component of a global conserved current multiplet. New results on superconformal blocks as well as universal constraints on the space of 4D $\mathcal{N}=1$ SCFTs with chiral operators are presented. At the level of precision used, the conditions under which the putative "minimal" 4D $\mathcal{N}=1$ SCFT may be isolated into a disconnected allowed region remain elusive. Nevertheless, new features of the bounds are found that provide further evidence for the presence of a special solution to crossing symmetry corresponding to the "minimal" 4D $\mathcal{N}=1$ SCFT.Li, DaliangMeltzer, DavidStergiou, AndreasFri, 10 Feb 2017 06:38:00 GMT2017-02-01CERN-TH-2017-024https://cds.cern.ch/record/22455442017024Dark sectors and enhanced $h\to \tau \mu$ transitions
https://cds.cern.ch/record/2245542
LHC searches with $\tau$ leptons in the final state are always inclusive in missing-energy sources. A signal in the flavor-violating Higgs decay search, $h\to\tau\mu$, could therefore equally well be due to a flavor conserving decay, but with an extended decay topology with additional invisible particles. We demonstrate this with the three-body decay $h\to\tau\mu\varphi$, where $\varphi$ is a flavorful mediator decaying to a dark-sector. This scenario can give thermal relic dark matter that carries lepton flavor charges, a realistic structure of the charged lepton masses, and explain the anomalous magnetic moment of the muon, $(g-2)\mu$, while simultaneously obey all indirect constraints from flavor-changing neutral currents. Another potentially observable consequence is the broadening of the collinear mass distributions in the $h\to \tau\mu$ searches.Galon, IftahZupan, JureFri, 10 Feb 2017 06:37:55 GMT2017-01-30UCI-HEP-TR-2016-17https://cds.cern.ch/record/2245542201617Aspects of Berry phase in QFT
https://cds.cern.ch/record/2245541
When continuous parameters in a QFT are varied adiabatically, quantum states typically undergo mixing---a phenomenon characterized by the Berry phase. We initiate a systematic analysis of the Berry phase in QFT using standard quantum mechanics methods. We show that a non-trivial Berry phase appears in many familiar QFTs. We study a variety of examples including free electromagnetism with a theta angle, and certain supersymmetric QFTs in two and four spacetime dimensions. We also argue that a large class of QFTs with rich Berry properties is provided by CFTs with non-trivial conformal manifolds. Using the operator-state correspondence we demonstrate in this case that the Berry connection is equivalent to the connection on the conformal manifold derived previously in conformal perturbation theory. In the special case of chiral primary states in 2d N=(2,2) and 4d N=2 SCFTs the Berry phase is governed by the tt* equations. We present a technically useful rederivation of these equations using quantum mechanics methods.Baggio, MarcoNiarchos, VasilisPapadodimas, KyriakosFri, 10 Feb 2017 06:37:55 GMT2017-01-19CERN-TH-2016-241https://cds.cern.ch/record/22455412016241Four-derivative couplings and BPS dyons in heterotic CHL orbifolds
https://cds.cern.ch/record/2244888
Three-dimensional string models with half-maximal supersymmetry are believed to be invariant under a large U-duality group which unifies the S and T dualities in four dimensions. We propose an exact, U-duality invariant formula for four-derivative scalar couplings of the form $F(\Phi) (\nabla\Phi)^4$ in a class of string vacua known as CHL $\mathbb{Z}_N$ heterotic orbifolds with $N$ prime, generalizing our previous work which dealt with the case of heterotic string on $T^6$. We derive the Ward identities that $F(\Phi)$ must satisfy, and check that our formula obeys them. We analyze the weak coupling expansion of $F(\Phi)$, and show that it reproduces the correct tree-level and one-loop contributions, plus an infinite series of NS5-brane, Kaluza-Klein monopole and H-monopole instantons. Similarly, the large radius expansion reproduces the exact $F^4$ coupling in four dimensions, including both supersymmetric invariants, plus infinite series of instanton corrections from half-BPS dyons winding around the large circle, and from Taub-NUT instantons. The summation measure for dyonic instantons agrees with the helicity supertrace for half-BPS dyons in 4 dimensions in all charge sectors. In the process we clarify several subtleties about CHL models in $D=4$ and $D=3$.Bossard, GuillaumeCosnier-Horeau, CharlesPioline, BorisThu, 09 Feb 2017 07:13:17 GMT2017-02-07CERN-TH-2017-028https://cds.cern.ch/record/22448882017028Nested soft-collinear subtractions in NNLO QCD computations
https://cds.cern.ch/record/2244887
We discuss a modification of the next-to-next-to-leading order (NNLO) subtraction scheme based on the residue-improved sector decomposition that reduces the number of double-real emission sectors from five to four. In particular, a sector where energies and angles of unresolved particles vanish in a correlated fashion is redundant and can be discarded. This simple observation allows us to formulate a transparent iterative subtraction procedure for double-real emission contributions, to demonstrate the cancellation of soft and collinear singularities in an explicit and (almost) process-independent way and to write the result of a NNLO calculation in terms of quantities that can be computed in four space-time dimensions. We illustrate this procedure explicitly in the simple case of $O(\alpha_s^2)$ gluonic corrections to the Drell-Yan process of $q \bar q$ annihilation into a lepton pair. We show that this framework leads to fast and numerically stable computation of QCD corrections.Caola, FabrizioMelnikov, KirillRÃ¶ntsch, RaoulThu, 09 Feb 2017 07:13:14 GMT2017-02-04CERN-TH-2017-029https://cds.cern.ch/record/22448872017029Cosmological Implications of Dark Matter Bound States
https://cds.cern.ch/record/2244886
We present generic formulae for computing how Sommerfeld corrections together with bound-state formation affects the thermal abundance of Dark Matter with non-abelian gauge interactions. We consider DM as a fermion 3plet (wino) or 5plet under SU(2)$_L$. In the latter case bound states raise to 11.5 TeV the DM mass required to reproduce the cosmological DM abundance and give indirect detection signals such as (for this mass) a dominant $\gamma$-line around 70 GeV. Furthermore, we consider DM co-annihilating with a colored particle, such as a squark or a gluino, finding that bound state effects are especially relevant in the latter case.Mitridate, AndreaRedi, MicheleSmirnov, JuriStrumia, AlessandroThu, 09 Feb 2017 07:13:08 GMT2017-02-03CERN-TH-2017-030https://cds.cern.ch/record/22448862017030Supergravity at 40: Reflections and Perspectives
https://cds.cern.ch/record/2244882
The fortieth anniversary of the original construction of Supergravity provides an opportunity to combine some reminiscences of its early days with an assessment of its impact on the quest for a quantum theory of gravity.Ferrara, S.Sagnotti, A.Thu, 09 Feb 2017 07:12:23 GMT2017-02-02CERN-TH-2017-005https://cds.cern.ch/record/22448822017005Hidden sector explanation of $B$-decay and cosmic ray anomalies
https://cds.cern.ch/record/2244881
There are presently several discrepancies in $b \to s \ell^+ \ell^-$ decays of $B$ mesons suggesting new physics coupling to $b$ quarks and leptons. We show that a $Z'$, with couplings to quarks and muons that can explain the $B$-decay anomalies, can also couple to dark matter in a way that is consistent with its relic abundance, direct detection limits, and hints of indirect detection. The latter include possible excess events in antiproton spectra recently observed by the AMS-02 experiment. We present two models, having a heavy (light) $Z'$ with $m_{Z'}\sim 600\,(12)\,$GeV and fermionic dark matter with mass $m_\chi \sim 50\,(2000)\,$GeV, producing excess antiprotons with energies of $\sim 10\, (300)\,$GeV. The first model is also compatible with fits for the galactic center GeV gamma-ray excess.Cline, James M.Cornell, Jonathan M.London, DavidWatanabe, RyoutaroThu, 09 Feb 2017 07:12:20 GMT2017-02-01CERN-TH-2017-025https://cds.cern.ch/record/22448812017025No-Scale SU(5) Super-GUTs
https://cds.cern.ch/record/2244880
We reconsider the minimal SU(5) Grand Unified Theory (GUT) in the context of no-scale supergravity, assuming that the soft supersymmetry-breaking parameters satisfy universality conditions at some input scale M_in above the GUT scale M_GUT. When setting up such a no-scale super-GUT model, special attention must be paid to avoiding the Scylla of rapid proton decay and the Charybdis of an excessive density of cold dark matter, while also having an acceptable mass for the Higgs boson. We do not find consistent solutions if none of the matter and Higgs fields are assigned to twisted chiral supermultiplets, even in the presence of Giudice-Masiero terms. However, consistent solutions may be found if at least one fiveplet of GUT Higgs fields is assigned to a twisted chiral supermultiplet, with a suitable choice of modular weights. Spin-independent dark matter scattering may be detectable in some of these consistent solutions.Ellis, JohnEvans, Jason L.Nagata, NatsumiNanopoulos, Dimitri V.Olive, Keith A.Thu, 09 Feb 2017 07:12:16 GMT2017-02-01KCL-PH-TH-2017-05https://cds.cern.ch/record/2244880201705Probing Leptophilic Dark Sectors with Hadronic Processes
https://cds.cern.ch/record/2244879
We study vector portal dark matter models where the mediator couples only to leptons. In spite of the lack of tree-level couplings to colored states, radiative effects generate interactions with quark fields that could give rise to a signal in current and future experiments. We identify such experimental signatures: scattering of nuclei in dark matter direct detection; resonant production of lepton-antilepton pairs at the Large Hadron Collider; and hadronic final states in dark matter indirect searches. Furthermore, radiative effects also generate an irreducible mass mixing between the vector mediator and the $Z$ boson, severely bounded by ElectroWeak Precision Tests. We use current experimental results to put bounds on this class of models, accounting for both radiatively induced and tree-level processes. Remarkably, the former often overwhelm the latter.D'Eramo, FrancescoKavanagh, Bradley J.Panci, PaoloThu, 09 Feb 2017 07:12:15 GMT2017-01-31SCIPP-17-01https://cds.cern.ch/record/22448791701Ring Relations and Mirror Map from Branes
https://cds.cern.ch/record/2244365
We study the space of vacua of three-dimensional $\mathcal{N}=4$ theories from a novel approach building on the type IIB brane realization of the theory and in which the insertion of local chiral operators in the path integral is obtained from integrating out light modes in appropriate brane setups. Most of our analysis focuses on abelian quiver theories which can be realized as the low-energy theory of D3-D5-NS5 brane arrays. Their space of vacua contains a Higgs branch, parametrized by the vevs of half-BPS meson operators, and a Coulomb branch, parametrized by the vevs of half-BPS monopole operators. We show that the Higgs operators are inserted by adding F1 strings and D3 branes, while the Coulomb operators are inserted by adding D1 strings and D3 branes, with specific orientations, to the initial brane setup of the theory. This approach has two main advantages. First the ring relations describing the Higgs and Coulomb branches can be derived by looking at specific brane setups with multiple interpretations in terms of operator insertions. This provides a new derivation of the Coulomb branch quantum relations. Secondly the map between the Higgs and Coulomb operators of mirror dual theories is obtained in a trivial way from IIB S-duality.Assel, BenjaminSat, 04 Feb 2017 06:25:20 GMT2017-01-30CERN-TH-2017-018https://cds.cern.ch/record/22443652017018Simplified dark matter models with two Higgs doublets: I. Pseudoscalar mediators
https://cds.cern.ch/record/2244364
We study a new class of renormalisable simplified models for dark matter searches at the LHC that are based on two Higgs doublet models with an additional pseudoscalar mediator. In contrast to the spin-0 simplified models employed in analyses of Run I data these models are self-consistent, unitary and bounds from Higgs physics typically pose no constraints. Predictions for various missing transverse energy ($E_{T, \rm miss}$) searches are discussed and the reach of the 13 TeV LHC is explored. It is found that the proposed models provide a rich spectrum of complementary observables that lead to non-trivial constraints. We emphasise in this context the sensitivity of the $t\bar t + E_{T, \rm miss}$, mono-$Z$ and mono-Higgs channels, which yield stronger limits than mono-jet searches in large parts of the parameter space. Constraints from spin-0 resonance searches, electroweak precision measurements and flavour observables are also derived and shown to provide further important handles to constraint and to test the considered dark matter models.Bauer, MartinHaisch, UlrichKahlhoefer, FelixSat, 04 Feb 2017 06:25:10 GMT2017-01-25CERN-TH-2017-011https://cds.cern.ch/record/22443642017011On exponential suppression of the cosmological constant in non-SUSY strings at two loops and beyond
https://cds.cern.ch/record/2244363
Two independent criteria are presented that together guarantee exponential suppression of the two-loop cosmological constant in non-supersymmetric heterotic strings. They are derived by performing calculations in both the full string theory and in its underlying effective field theory, and come respectively from contributions that involve only physical untwisted states, and contributions that include orbifold twisted states. The criteria depend purely on the spectrum and charges, so a model that satisfies them will do so with no fine-tuning. An additional consistency condition (emerging from the so-called separating degeneration limit of the two-loop diagram) is that the one-loop cosmological constant must also be suppressed, by Bose-Fermi degeneracy in the massless spectrum. We remark that theories of this kind, that have continued exponential suppression to higher orders, can form the basis for a string implementation of the "naturalness without supersymmetry" idea.Abel, StevenStewart, Richard J.Sat, 04 Feb 2017 06:25:08 GMT2017-01-23IPPP-17-6https://cds.cern.ch/record/2244363176A model for pion-pion scattering in large-N QCD
https://cds.cern.ch/record/2243469
Following up on recent work by Caron-Huot et al. we consider a generalization of the old Lovelace-Shapiro model as a toy model for Pi-Pi scattering satisfying (most of) the properties expected to hold in ('t Hooft's) large-N limit of massless QCD. In particular, the model has asymptotically linear and parallel Regge trajectories at positive t, a positive leading Regge intercept $\alpha_0 < 1$, and an effective bending of the trajectories in the negative-t region producing a fixed branch point at J=0 for $t < t_0 < 0$. Fixed (physical) angle scattering can be tuned to match the power-like (including logarithmic corrections) behavior predicted by perturbative QCD: $A(s,t) ~ s^{-\beta} \log(s)^{-\gamma} F(\theta)$. Tree-level unitarity (i.e. positivity of residues for all values of s and J) imposes strong constraints on the allowed region in the alpha_0-beta-gamma parameter space, which nicely includes a physically interesting region around $\alpha_0 = 0.5$, $\beta = 2$ and $\gamma = 3$. The full consistency of the model would require an extension to multi-pion processes, a program we do not undertake in this paper.Veneziano, GabrieleYankielowicz, ShimonOnofri, EnricoTue, 31 Jan 2017 06:18:32 GMT2017-01-23CERN-TH-2017-002https://cds.cern.ch/record/22434692017002Rescattering effects in the hadronic-light-by-light contribution to the anomalous magnetic moment of the muon
https://cds.cern.ch/record/2243468
We present a first model-independent calculation of $\pi\pi$ intermediate states in the hadronic-light-by-light (HLbL) contribution to the anomalous magnetic moment of the muon $(g-2)_\mu$ that goes beyond the scalar QED pion loop. To this end we combine a recently developed dispersive description of the HLbL tensor with a partial-wave expansion and demonstrate that the known scalar-QED result is recovered after partial-wave resummation. Using dispersive fits to high-statistics data for the pion vector form factor, we provide an evaluation of the full pion box, $a_\mu^{\pi\text{-box}}=-15.9(2)\times 10^{-11}$. We then construct suitable input for the $\gamma^*\gamma^*\to\pi\pi$ helicity partial waves based on a pion-pole left-hand cut and show that for the dominant charged-pion contribution this representation is consistent with the two-loop chiral prediction and the COMPASS measurement for the pion polarizability. This allows us to reliably estimate $S$-wave rescattering effects to the full pion box and leads to our final estimate for the sum of these two contributions: $a_\mu^{\pi\text{-box}} + a_{\mu,J=0}^{\pi\pi,\pi\text{-pole LHC}}=-24(1)\times 10^{-11}$.Colangelo, GilbertoHoferichter, MartinProcura, MassimilianoStoffer, PeterTue, 31 Jan 2017 06:18:31 GMT2017-01-23INT-PUB-17-005https://cds.cern.ch/record/224346817005A Simple Method to detect spontaneous CP Violation in multi-Higgs models
https://cds.cern.ch/record/2242544
For models with several Higgs doublets we present an alternative method to the one proposed by Branco, Gerard and Grimus, in 1984, to check whether or not CP is spontaneously violated in the Higgs potential. The previous method is powerful and rigorous. It requires the identification of a matrix $U$ corresponding to a symmetry of the Lagrangian and verifying a simple relation involving the vacuum expectation values. The nonexistence of such a matrix signals spontaneous CP violation. However, as the number of Higgs doublets increases, finding such a matrix $U$ may not be straightforward and it may turn out to be easier to analyse the potential by going to the so-called Higgs basis. The transformation to the Higgs basis is straightforward once the vacuum expectation values are known. The method proposed in this work is also powerful and rigorous and can be particularly useful to analyse models with more than two Higgs doublets and with continuous symmetries.Ogreid, O.M.Osland, P.Rebelo, M.N.Fri, 20 Jan 2017 06:23:00 GMT2017-01-17CERN-TH-2017-008https://cds.cern.ch/record/22425442017008Dimension-6 Operator Analysis of the CLIC Sensitivity to New Physics
https://cds.cern.ch/record/2242543
We estimate the possible accuracies of measurements at the proposed CLIC $e^+e^-$ collider of Higgs and $W^+W^-$ production at centre-of-mass energies up to 3TeV, incorporating also Higgsstrahlung projections at higher energies that had not been considered previously, and use them to explore the prospective CLIC sensitivities to decoupled new physics. We present the resulting constraints on the Wilson coefficients of dimension-6 operators in a model-independent approach based on the Standard Model effective field theory (SM EFT). The higher centre-of-mass energy of CLIC, compared to other projects such as the ILC and CEPC, gives it greater sensitivity to the coefficients of some of the operators we study. We find that CLIC Higgs measurements may be sensitive to new physics scales $\Lambda = \mathcal{O}(10)$TeV for individual operators, reduced to $\mathcal{O}(1)$ TeV sensitivity for a global fit marginalising over the coefficients of all contributing operators. We give some examples of the corresponding prospective constraints on specific scenarios for physics beyond the SM, including stop quarks and the dilaton/radion.Ellis, JohnRoloff, PhilippSanz, VeronicaYou, TevongFri, 20 Jan 2017 06:22:58 GMT2017-01-17KCL-PH-TH-2017-04https://cds.cern.ch/record/2242543201704Supergravity and its Legacy
https://cds.cern.ch/record/2242541
A personal recollection of events that preceded the construction of Supergravity and of some subsequent developments.Ferrara, S.Fri, 20 Jan 2017 06:22:54 GMT2017-01-12CERN-TH-2017-004https://cds.cern.ch/record/22425412017004Supersymmetric partition functions and the three-dimensional A-twist
https://cds.cern.ch/record/2242540
We study three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories on $\mathcal{M}_{g,p}$, an oriented circle bundle of degree $p$ over a closed Riemann surface, $\Sigma_g$. We compute the $\mathcal{M}_{g,p}$ supersymmetric partition function and correlation functions of supersymmetric loop operators. This uncovers interesting relations between observables on manifolds of different topologies. In particular, the familiar supersymmetric partition function on the round $S^3$ can be understood as the expectation value of a so-called "fibering operator" on $S^2 \times S^1$ with a topological twist. More generally, we show that the 3d $\mathcal{N}=2$ supersymmetric partition functions (and supersymmetric Wilson loop correlation functions) on $\mathcal{M}_{g,p}$ are fully determined by the two-dimensional A-twisted topological field theory obtained by compactifying the 3d theory on a circle. We give two complementary derivations of the result. We also discuss applications to F-maximization and to three-dimensional supersymmetric dualities.Closset, CyrilKim, HeeyeonWillett, BrianFri, 20 Jan 2017 06:22:50 GMT2017-01-11CERN-TH-2017-006https://cds.cern.ch/record/22425402017006