A. Celis - Lund

A. Celis
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A. Celis
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Lund
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High Energy Physics - Phenomenology (33)
 
High Energy Physics - Experiment (18)
 
Mathematics - Algebraic Geometry (5)
 
Mathematics - Representation Theory (4)
 
High Energy Physics - Lattice (2)
 
Nuclear Theory (1)
 
Physics - Materials Science (1)
 
Physics - Mesoscopic Systems and Quantum Hall Effect (1)
 
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High Energy Physics - Theory (1)

Publications Authored By A. Celis

We study the implications of the recent measurements of $R_K$ and $R_{K^\ast}$ by the LHCb collaboration. We do that by adopting a model-independent approach based on the Standard Model Effective Field Theory (SMEFT), in which the dominant new physics effects are encoded in the coefficients of dimension-six operators. After providing simplified expressions for $R_K$ and $R_{K^\ast}$, we determine the implications of the recent LHCb results for these observables on the coefficients of the SMEFT operators at low and high energies, also taking into account all $b\to s \ell\ell$ data. Read More

We present DsixTools, a Mathematica package for the handling of the dimension-six Standard Model Effective Field Theory. Among other features, DsixTools allows the user to perform the full one-loop Renormalization Group Evolution of the Wilson coefficients in the Warsaw basis. This is achieved thanks to the SMEFTrunner module, which implements the full one-loop anomalous dimension matrix previously derived in the literature. Read More

We discuss Yukawa-enhanced contributions from $Z$-mediated new physics to down-type quark $\Delta F=2$ processes in the framework of the standard model gauge-invariant effective theory (SMEFT). Besides the renormalization group (RG) mixing of the $Z$-mediating $\psi^2 H^2 D$ operators into $\Delta F = 2$ operators, we include at the electroweak scale one-loop (NLO) matching corrections consistently, necessary for the removal of the matching scale dependence. We point out that the right-handed $Z$-mediated interactions generate through Yukawa RG mixing $\Delta F=2$ left-right operators, which are further enhanced through QCD RG effects and chirally enhanced hadronic matrix elements. Read More

Finite subgroups of $H\subset SL(2,\mathbb{C})$ and their relation with the so called ADE classification have played a central role in several areas of mathematics. In this paper we study commuting graphs $\mathcal{C}(H,\Gamma)$ for every finite subgroup $H\subset SL(2,\mathbb{C})$ for different subsets $\Gamma\subseteq H$, and investigate metric properties of them. Moreover, we realise any simple graph as a commuting graph of a certain Coxeter group, so in particular we recover every Dynkin diagram of ADE type as a commuting graph. Read More

We perform a comprehensive analysis of scalar contributions in $b \to c \tau \nu$ transitions including the latest measurements of $R(D^{(*)})$, the $q^2$ differential distributions in $B \to D^{(*)} \tau \nu$, the $\tau$ polarization asymmetry for $B \to D^{*} \tau \nu$, and the bound derived from the total width of the $B_c$ meson. We find that scalar contributions with the simultaneous presence of both left- and right-handed couplings to quarks can explain the available data, specifically $R(D^{(*)})$ together with the measured differential distributions. However, the constraints from the total $B_c$ width present a slight tension with the current data on $B \to D^{*}\tau \nu$ in this scenario, preferring smaller values for $R(D^*)$. Read More

2016Oct
Authors: D. de Florian1, C. Grojean2, F. Maltoni3, C. Mariotti4, A. Nikitenko5, M. Pieri6, P. Savard7, M. Schumacher8, R. Tanaka9, R. Aggleton10, M. Ahmad11, B. Allanach12, C. Anastasiou13, W. Astill14, S. Badger15, M. Badziak16, J. Baglio17, E. Bagnaschi18, A. Ballestrero19, A. Banfi20, D. Barducci21, M. Beckingham22, C. Becot23, G. Bélanger24, J. Bellm25, N. Belyaev26, F. U. Bernlochner27, C. Beskidt28, A. Biekötter29, F. Bishara30, W. Bizon31, N. E. Bomark32, M. Bonvini33, S. Borowka34, V. Bortolotto35, S. Boselli36, F. J. Botella37, R. Boughezal38, G. C. Branco39, J. Brehmer40, L. Brenner41, S. Bressler42, I. Brivio43, A. Broggio44, H. Brun45, G. Buchalla46, C. D. Burgard47, A. Calandri48, L. Caminada49, R. Caminal Armadans50, F. Campanario51, J. Campbell52, F. Caola53, C. M. Carloni Calame54, S. Carrazza55, A. Carvalho56, M. Casolino57, O. Cata58, A. Celis59, F. Cerutti60, N. Chanon61, M. Chen62, X. Chen63, B. Chokoufé Nejad64, N. Christensen65, M. Ciuchini66, R. Contino67, T. Corbett68, D. Curtin69, M. Dall'Osso70, A. David71, S. Dawson72, J. de Blas73, W. de Boer74, P. de Castro Manzano75, C. Degrande76, R. L. Delgado77, F. Demartin78, A. Denner79, B. Di Micco80, R. Di Nardo81, S. Dittmaier82, A. Dobado83, T. Dorigo84, F. A. Dreyer85, M. Dührssen86, C. Duhr87, F. Dulat88, K. Ecker89, K. Ellis90, U. Ellwanger91, C. Englert92, D. Espriu93, A. Falkowski94, L. Fayard95, R. Feger96, G. Ferrera97, A. Ferroglia98, N. Fidanza99, T. Figy100, M. Flechl101, D. Fontes102, S. Forte103, P. Francavilla104, E. Franco105, R. Frederix106, A. Freitas107, F. F. Freitas108, F. Frensch109, S. Frixione110, B. Fuks111, E. Furlan112, S. Gadatsch113, J. Gao114, Y. Gao115, M. V. Garzelli116, T. Gehrmann117, R. Gerosa118, M. Ghezzi119, D. Ghosh120, S. Gieseke121, D. Gillberg122, G. F. Giudice123, E. W. N. Glover124, F. Goertz125, D. Gonçalves126, J. Gonzalez-Fraile127, M. Gorbahn128, S. Gori129, C. A. Gottardo130, M. Gouzevitch131, P. Govoni132, D. Gray133, M. Grazzini134, N. Greiner135, A. Greljo136, J. Grigo137, A. V. Gritsan138, R. Gröber139, S. Guindon140, H. E. Haber141, C. Han142, T. Han143, R. Harlander144, M. A. Harrendorf145, H. B. Hartanto146, C. Hays147, S. Heinemeyer148, G. Heinrich149, M. Herrero150, F. Herzog151, B. Hespel152, V. Hirschi153, S. Hoeche154, S. Honeywell155, S. J. Huber156, C. Hugonie157, J. Huston158, A. Ilnicka159, G. Isidori160, B. Jäger161, M. Jaquier162, S. P. Jones163, A. Juste164, S. Kallweit165, A. Kaluza166, A. Kardos167, A. Karlberg168, Z. Kassabov169, N. Kauer170, D. I. Kazakov171, M. Kerner172, W. Kilian173, F. Kling174, K. Köneke175, R. Kogler176, R. Konoplich177, S. Kortner178, S. Kraml179, C. Krause180, F. Krauss181, M. Krawczyk182, A. Kulesza183, S. Kuttimalai184, R. Lane185, A. Lazopoulos186, G. Lee187, P. Lenzi188, I. M. Lewis189, Y. Li190, S. Liebler191, J. Lindert192, X. Liu193, Z. Liu194, F. J. Llanes-Estrada195, H. E. Logan196, D. Lopez-Val197, I. Low198, G. Luisoni199, P. Maierhöfer200, E. Maina201, B. Mansoulié202, H. Mantler203, M. Mantoani204, A. C. Marini205, V. I. Martinez Outschoorn206, S. Marzani207, D. Marzocca208, A. Massironi209, K. Mawatari210, J. Mazzitelli211, A. McCarn212, B. Mellado213, K. Melnikov214, S. B. Menari215, L. Merlo216, C. Meyer217, P. Milenovic218, K. Mimasu219, S. Mishima220, B. Mistlberger221, S. -O. Moch222, A. Mohammadi223, P. F. Monni224, G. Montagna225, M. Moreno Llácer226, N. Moretti227, S. Moretti228, L. Motyka229, A. Mück230, M. Mühlleitner231, S. Munir232, P. Musella233, P. Nadolsky234, D. Napoletano235, M. Nebot236, C. Neu237, M. Neubert238, R. Nevzorov239, O. Nicrosini240, J. Nielsen241, K. Nikolopoulos242, J. M. No243, C. O'Brien244, T. Ohl245, C. Oleari246, T. Orimoto247, D. Pagani248, C. E. Pandini249, A. Papaefstathiou250, A. S. Papanastasiou251, G. Passarino252, B. D. Pecjak253, M. Pelliccioni254, G. Perez255, L. Perrozzi256, F. Petriello257, G. Petrucciani258, E. Pianori259, F. Piccinini260, M. Pierini261, A. Pilkington262, S. Plätzer263, T. Plehn264, R. Podskubka265, C. T. Potter266, S. Pozzorini267, K. Prokofiev268, A. Pukhov269, I. Puljak270, M. Queitsch-Maitland271, J. Quevillon272, D. Rathlev273, M. Rauch274, E. Re275, M. N. Rebelo276, D. Rebuzzi277, L. Reina278, C. Reuschle279, J. Reuter280, M. Riembau281, F. Riva282, A. Rizzi283, T. Robens284, R. Röntsch285, J. Rojo286, J. C. Romão287, N. Rompotis288, J. Roskes289, R. Roth290, G. P. Salam291, R. Salerno292, R. Santos293, V. Sanz294, J. J. Sanz-Cillero295, H. Sargsyan296, U. Sarica297, P. Schichtel298, J. Schlenk299, T. Schmidt300, C. Schmitt301, M. Schönherr302, U. Schubert303, M. Schulze304, S. Sekula305, M. Sekulla306, E. Shabalina307, H. S. Shao308, J. Shelton309, C. H. Shepherd-Themistocleous310, S. Y. Shim311, F. Siegert312, A. Signer313, J. P. Silva314, L. Silvestrini315, M. Sjodahl316, P. Slavich317, M. Slawinska318, L. Soffi319, M. Spannowsky320, C. Speckner321, D. M. Sperka322, M. Spira323, O. Stål324, F. Staub325, T. Stebel326, T. Stefaniak327, M. Steinhauser328, I. W. Stewart329, M. J. Strassler330, J. Streicher331, D. M. Strom332, S. Su333, X. Sun334, F. J. Tackmann335, K. Tackmann336, A. M. Teixeira337, R. Teixeira de Lima338, V. Theeuwes339, R. Thorne340, D. Tommasini341, P. Torrielli342, M. Tosi343, F. Tramontano344, Z. Trócsányi345, M. Trott346, I. Tsinikos347, M. Ubiali348, P. Vanlaer349, W. Verkerke350, A. Vicini351, L. Viliani352, E. Vryonidou353, D. Wackeroth354, C. E. M. Wagner355, J. Wang356, S. Wayand357, G. Weiglein358, C. Weiss359, M. Wiesemann360, C. Williams361, J. Winter362, D. Winterbottom363, R. Wolf364, M. Xiao365, L. L. Yang366, R. Yohay367, S. P. Y. Yuen368, G. Zanderighi369, M. Zaro370, D. Zeppenfeld371, R. Ziegler372, T. Zirke373, J. Zupan374
Affiliations: 1eds., 2eds., 3eds., 4eds., 5eds., 6eds., 7eds., 8eds., 9eds., 10The LHC Higgs Cross Section Working Group, 11The LHC Higgs Cross Section Working Group, 12The LHC Higgs Cross Section Working Group, 13The LHC Higgs Cross Section Working Group, 14The LHC Higgs Cross Section Working Group, 15The LHC Higgs Cross Section Working Group, 16The LHC Higgs Cross Section Working Group, 17The LHC Higgs Cross Section Working Group, 18The LHC Higgs Cross Section Working Group, 19The LHC Higgs Cross Section Working Group, 20The LHC Higgs Cross Section Working Group, 21The LHC Higgs Cross Section Working Group, 22The LHC Higgs Cross Section Working Group, 23The LHC Higgs Cross Section Working Group, 24The LHC Higgs Cross Section Working Group, 25The LHC Higgs Cross Section Working Group, 26The LHC Higgs Cross Section Working Group, 27The LHC Higgs Cross Section Working Group, 28The LHC Higgs Cross Section Working Group, 29The LHC Higgs Cross Section Working Group, 30The LHC Higgs Cross 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This Report summarizes the results of the activities of the LHC Higgs Cross Section Working Group in the period 2014-2016. The main goal of the working group was to present the state-of-the-art of Higgs physics at the LHC, integrating all new results that have appeared in the last few years. The first part compiles the most up-to-date predictions of Higgs boson production cross sections and decay branching ratios, parton distribution functions, and off-shell Higgs boson production and interference effects. Read More

Producing a usable semiconducting form of graphene has plagued the development of graphene electronics for nearly two decades. Now that new preparation methods have become available, graphene's intrinsic properties can be measured and the search for semiconducting graphene has begun to produce results. This is the case of the first graphene "buffer" layer grown on SiC(0001) presented in this work. Read More

In this talk I discuss the interpretation of LHC Higgs measurements within the electroweak chiral Lagrangian, paying particular attention to the role of power counting. Read More

We study the patterns of flavour violation in renormalisable extensions of the Standard Model (SM) that contain vector-like quarks (VLQs) in a single complex representation of either the SM gauge group $G_{SM}$ or $G_{SM}' = G_{SM} \times U(1)_{L_\mu - L_\tau}$. We first decouple VLQs in the $M=(1-10)$ TeV range and then at the electroweak scale also $Z, Z'$ gauge bosons and additional scalars to study the resulting phenomenology that depends on the relative size of $Z$- and $Z'$-induced flavour-changing neutral currents, as well as the size of $\Delta F=2$ contributions including the effects of renormalisation group Yukawa evolution from $M$ to the electroweak scale that turn out to be very important for models with right-handed currents through the generation of left-right operators. In addition to rare decays like $P\to \ell\bar\ell$, $P\to P' \ell\bar\ell$, $P\to P'\nu\bar\nu$ with $P=K, B_s, B_d$ and $\Delta F=2$ observables we analyze the ratio $\varepsilon'/\varepsilon$ which appears in the SM to be significantly below the data. Read More

We revisit the possibility of a Dirac fermion dark matter candidate in the light of current $b \to s \ell^+ \ell^-$ anomalies by investigating a minimal extension of the Standard Model with a horizontal $\mathrm{U(1)}^{\prime}$ local symmetry. Dark matter stability is protected by a remnant $\mathcal{Z}_2$ symmetry arising after spontaneous symmetry breaking of $\mathrm{U(1)}^{\prime}$. The associated $Z^{\prime}$ gauge boson can accommodate current hints of new physics in $b \to s \ell^+ \ell^-$ decays, and acts as a vector portal between dark matter and the visible sector. Read More

We consider the Standard Model extended by a heavy scalar singlet in different regions of parameter space and construct the appropriate low-energy effective field theories up to first nontrivial order. This top-down exercise in effective field theory is meant primarily to illustrate with a simple example the systematics of the linear and nonlinear electroweak effective Lagrangians and to clarify the relation between them. We discuss power-counting aspects and the transition between both effective theories on the basis of the model, confirming in all cases the rules and procedures derived in previous works from a bottom-up approach. Read More

We investigate a gauge extension of the Standard Model in light of the observed hints of lepton universality violation in $b \to c \ell \nu$ and $b \to s \ell^+ \ell^-$ decays at BaBar, Belle and LHCb. The model consists of an extended gauge group $\mathrm{SU(2)}_{1} \times \mathrm{SU(2)}_{2} \times \mathrm{U(1)}_Y$ which breaks spontaneously around the TeV scale to the electroweak gauge group. Fermion mixing effects with vector-like fermions give rise to potentially large new physics contributions in flavour transitions mediated by $W^{\prime}$ and $Z^{\prime}$ bosons. Read More

These are the proceedings of the LHCSki 2016 workshop "A First Discussion of 13 TeV Results" that has been held at the Obergurgl Universit\"atszentrum, Tirol, Austria, April 10 - 15, 2016. In this workshop the consequences of the most recent results from the LHC have been discussed, with a focus also on the interplay with dark matter physics, flavor physics, and precision measurements. Contributions from the workshop speakers have been compiled into this document. Read More

We study the generic features of minimal gauge extensions of the Standard Model in view of recent hints of lepton-flavor non-universality in semi-leptonic $b \to s \ell^+ \ell^-$ and $b \to c \ell \nu$ decays. We classify the possible models according to the symmetry-breaking pattern and the source of flavor non-universality. We find that in viable models the $\mathrm{SU(2)}_L$ factor is embedded non-trivially in the extended gauge group, and that gauge couplings should be universal, hinting to the presence of new degrees of freedom sourcing non-universality. Read More

In a recent paper [1] a master formula has been presented for the power counting of a general effective field theory. We first show that this master formula follows immediately from the concept of chiral dimensions (loop counting), together with standard dimensional analysis. Subsequently, [1] has disputed the relevance of chiral counting for chiral Lagrangians, and in particular for the electroweak chiral Lagrangian including a light Higgs boson. Read More

We show that the recent anomalies in $b \to s \ell^+ \ell^-$ transitions observed by the LHCb collaboration can be accommodated within string motivated models with a low mass $Z^{\prime}$ gauge boson. Such $Z^{\prime}$ gauge boson can be obtained in compactifications with a low string scale. We consider a class of intersecting D-brane models, in which different families of quarks and leptons are simultaneously realized at different D-brane intersections. Read More

In a recent paper we showed that the electroweak chiral Lagrangian at leading order is equivalent to the conventional $\kappa$ formalism used by ATLAS and CMS to test Higgs anomalous couplings. Here we apply this fact to fit the latest Higgs data. The new aspect of our analysis is a systematic interpretation of the fit parameters within an EFT. Read More

We define a new class of $Z'$ models with neutral flavor-changing interactions at tree level in the down-quark sector. They are related in an exact way to elements of the quark mixing matrix due to an underlying flavored $U(1)'$ gauge symmetry, rendering these models particularly predictive. The same symmetry implies lepton-flavor non-universal couplings, fully determined by the gauge structure of the model. Read More

Motivated by the principle of natural flavour conservation, searches for signatures of a second scalar doublet at the LHC are usually limited to models with a very restricted Yukawa structure. Strong correlations between the scalar couplings to fermions are fixed in these models due to the underlying flavour principle, making the results obtained from such analyses highly model dependent. Moreover, constraints derived from flavour experiments also vary radically within the different models considered. Read More

While numerous methods have been proposed to produce semiconducting graphene, a significant bandgap has never been demonstrated. The reason is that, regardless of the theoretical gap formation mechanism, disorder at the sub-nanometer scale prevents the required chiral symmetry breaking necessary to open a bandgap in graphene. In this work, we show for the first time that a 2D semiconducting graphene film can be made by epitaxial growth. Read More

We propose a parametrization of anomalous Higgs-boson couplings that is both systematic and practical. It is based on the electroweak chiral Lagrangian, including a light Higgs boson, as the effective field theory (EFT) at the electroweak scale $v$. This is the appropriate framework for the case of sizeable deviations in the Higgs couplings of order $10\%$ from the Standard Model, considered to be parametrically larger than new-physics effects in the sector of electroweak gauge interactions. Read More

We perform a complete one-loop computation of the two-body flavour-changing top decays $t \rightarrow c h$ and $t \rightarrow c V$ ($V= \gamma, Z$), within the aligned two-Higgs-doublet model. We evaluate the impact of the model parameters on the associated branching ratios, taking into account constraints from flavour data and measurements of the Higgs properties. Assuming that the $125$~GeV Higgs corresponds to the lightest CP-even scalar of the CP-conserving aligned two-Higgs-doublet model, we find that the rates for such flavour-changing top decays lie below the expected sensitivity of the future high-luminosity phase of the LHC. Read More

In this talk I discuss the role of heavy quarks in new physics searches with tau leptons. I focus on new physics effects associated to the scalar sector which are naturally enhanced for the heaviest fermions due to the large hierarchy of the fermion masses. I will discuss two topics within this context: lepton flavour violation in the $\tau - \ell$ ($\ell=e,\mu$) sector and violations of lepton universality in tauonic $B$ decays. Read More

We derive the necessary conditions to build a class of invisible axion models with Flavor Changing Neutral Currents at tree-level controlled by the fermion mixing matrices and present an explicit model implementation. A horizontal Peccei-Quinn symmetry provides a solution to the strong CP problem via the Peccei-Quinn mechanism and predicts a cold dark mater candidate, the invisible axion or familon. The smallness of active neutrino masses can be explained via a type I seesaw mechanism, providing a dynamical origin for the heavy seesaw scale. Read More

We build a class of invisible axion models with tree-level Flavor Changing Neutral Currents completely controlled by the fermion mixing matrices. The scalar sector of these models contains three-Higgs doublets and a complex scalar gauge singlet, with the same fermionic content than the Standard Model. A horizontal Peccei-Quinn symmetry provides a solution to the strong CP problem and predicts the existence of a very light and weakly coupled pseudo-Goldstone boson, the invisible axion or familon. Read More

In this talk I review the status of $B\rightarrow D^{(*)} \tau \nu$ decays within the framework of the aligned two-Higgs-doublet model. Read More

The possibility to discriminate between different operators contributing to lepton flavour violating tau decays is discussed within an effective field theory framework. Correlations among decay rates in different channels as well as differential distributions in many-body decays are considered. Recent developments in the determination of the hadronic form factors for $\tau \rightarrow \ell \pi \pi$ ($\ell = e, \mu$) decays are incorporated in the analysis. Read More

We discuss the possibility of having a non-minimal scalar sector at the weak scale within the framework of invisible axion models. To frame our discussion we consider an extension of the Dine-Fischler-Srednicki-Zhitnitsky invisible axion model with two additional Higgs doublets blind under the Peccei-Quinn symmetry. Due to mixing effects among the scalar fields, it is possible to obtain a rich scalar sector at the weak scale in certain decoupling limits of the theory. Read More

Within an effective field theory framework, we discuss the possibility to discriminate among different operators that contribute to lepton flavor violating (LFV) tau decays. Correlations among decay rates in different channels are shown to provide a basic handle to unravel the origin of LFV in these processes. More information about the underlying dynamics responsible for LFV can be gathered from differential distributions in three-body decays like tau -> mu pi pi or tau -> 3 mu: these are considered in some detail. Read More

The data accumulated so far confirm the Higgs-like nature of the new boson discovered at the LHC. The Standard Model Higgs hypothesis is compatible with the collider results and no significant deviations from the Standard Model have been observed neither in the flavour sector nor in electroweak precision observables. We update the LHC and Tevatron constraints on CP-conserving two-Higgs-doublet models without tree-level flavour-changing neutral currents. Read More

It has been pointed out recently that current low-energy constraints still allow for sizable flavor-changing decay rates of the 125 GeV boson into leptons, h -> tau ell (ell= e, mu). In this work we discuss the role of hadronic tau-lepton decays in probing lepton flavor violating couplings in the Higgs sector. At low energy, the effective Higgs coupling to gluons induced by heavy quarks contributes to hadronic tau decays, establishing a direct connection with the relevant process at the LHC, pp (gg)-> h -> tau ell. Read More

In this talk I consider the current status of $B \rightarrow D^{(*)} \tau \nu$ decays in the context of two-Higgs-doublet models. The BaBar collaboration has reported an excess in semileptonic $b \rightarrow c \tau \nu$ transitions that has gathered recent interest as a possible signature of new physics. The sensitivity of these decays to tree-level charged Higgs boson contributions is discussed, taking into account the constraints from other semileptonic and leptonic meson decays in which the charged Higgs would enter at the same level. Read More

A sizable excess with respect to the SM expectation has been reported recently by the BaBar collaboration in the decay rates B -> D(*) Tau Nu, normalized by the corresponding light lepton modes. A violation of lepton flavor universality as suggested by this excess could be due to a charged Higgs mediating these processes at tree level. In this talk we analyze the implications of the observed excess within the framework of two-Higgs-doublet models, considering also the bounds from other semileptonic and leptonic decays of B and D(s) mesons. Read More

A new Higgs-like boson with mass around 126 GeV has recently been discovered at the LHC. The available data on this new particle is analyzed within the context of two-Higgs doublet models without tree-level flavour-changing neutral currents. Keeping the generic Yukawa structure of the Aligned Two-Higgs Doublet Model framework, we study the implications of the LHC data on the allowed scalar spectrum. Read More

We analyze the recent experimental evidence for an excess of $\tau$-lepton production in several exclusive semileptonic $B$-meson decays in the context of two-Higgs-doublet models. These decay modes are sensitive to the exchange of charged scalars and constrain strongly their Yukawa interactions. While the usual Type-II scenario cannot accommodate the recent BaBar data, this is possible within more general models in which the charged-scalar couplings to up-type quarks are not as suppressed. Read More

Let $G$ be a polyhedral group $G\subset SO(3)$ of types $\mathbb{Z}/n\mathbb{Z}$, $D_{2n}$ and $\mathbb{T}$. We prove that there exists a one-to-one correspondence between flops of $G$-Hilb$\mathbb{C}^3$ and mutations of the McKay quiver with potential which do not mutate the trivial vertex. This correspondence provides two equivalent methods to construct every projective crepant resolution for the singularities $\mathbb{C}^3/G$, which are constructed as moduli spaces $\mathcal{M}_C$ of quivers with potential for some chamber $C$ in the space $\Theta$ of stability conditions. Read More

In this paper we consider the iterated G-equivariant Hilbert scheme G/N-Hilb(N-Hilb) and prove that G/N-Hilb(N-Hilb(C^3)) is a crepant resolution of C^3/G isomorphic to the moduli space of \theta-stable representations of the McKay quiver for certain stability condition \theta. We provide several explicit examples to illustrate this construction. We also consider the problem of when G/N-Hilb(N-Hilb) is isomorphic to G-Hilb showing the fact that these spaces are most of the times different. Read More

We study the decays $K\to\pi\pi$ in one-loop two-flavour Chiral Perturbation Theory. We provide arguments why the calculation of the coefficient of the pionic chiral logarithm $\logm = M^2\log M^2$ is unique and then perform the calculation. As a check we perform the reduction of the known three-flavour result. Read More

We give the classification of all possible G-graphs for any small binary dihedral subgroup G in GL(2,C) and use this classification to give the combinatorial description of the special representations of G in terms of its maximal cyclic normal subgroup. Read More

For a given small binary dihedral group G we use the classification of G-graphs to describe explicitly G-Hilb(C^2) by giving an affine open cover of M(Q,R), the moduli space of stable quiver representations. Read More