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By using the most recent determinations of the several theoretical and experimental input parameters, we update the Unitarity Triangle analysis in the Standard Model and discuss the sensitivity to New Physics effects. We investigate the…

High Energy Physics - Phenomenology · Physics 2010-11-23 M. Ciuchini , E. Franco , F. Parodi , V. Lubicz , L. Silvestrini , A. Stocchi

We consider a refinement of triangular factorization for unitary matrix valued loops.

Functional Analysis · Mathematics 2014-08-12 Doug Pickrell , Benjamin Pittman-Polletta

We outline a method of calculation of partition functions of orientable manifolds with fluctuating metric and perform the calculation for the specific case of the unit interval.

High Energy Physics - Theory · Physics 2007-05-23 Ramon Mendoza , Fernando Moraes

The values of the elements of the Cabibbo-Kobayashi-Maskawa matrix are constrained by direct and indirect measurements. A fit to experimental data and theory calculations allows the indirect determination of the vertex and angles of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Salvatore Mele

We present a measurement of the Cabibbo-Kobayashi-Maskawa unitarity triangle angle $ \phi_{3} $ (also known as~$\gamma$) using a model-independent Dalitz plot analysis of \linebreak $B^+\to D\left(K_{S}^{0}h^{+}h^{-}\right)h^+$, where $D$…

High Energy Physics - Experiment · Physics 2022-03-02 Belle , Belle II Collaborations , : , F. Abudinén , L. Aggarwal , H. Ahmed , H. Aihara , N. Akopov , S. Al Said , A. Aloisio , N. Anh Ky , H. Atmacan , V. Aushev , R. Ayad , V. Babu , S. Bacher , S. Baehr , S. Bahinipati , P. Bambade , Sw. Banerjee , S. Bansal , J. Baudot , J. Becker , P. K. Behera , K. Belous , J. V. Bennett , F. U. Bernlochner , M. Bertemes , E. Bertholet , M. Bessner , S. Bettarini , F. Bianchi , T. Bilka , D. Biswas , A. Bobrov , D. Bodrov , G. Bonvicini , J. Borah , A. Bozek , M. Bračko , P. Branchini , R. A. Briere , T. E. Browder , A. Budano , S. Bussino , M. Campajola , L. Cao , G. Casarosa , C. Cecchi , P. Cheema , V. Chekelian , A. Chen , B. G. Cheon , K. Chilikin , K. Chirapatpimol , H. -E. Cho , S. -J. Cho , S. -K. Choi , Y. Choi , S. Choudhury , D. Cinabro , L. Corona , S. Cunliffe , T. Czank , S. Das , F. Dattola , E. De La Cruz-Burelo , G. de Marino , S. K. Maurya , G. De Nardo , M. De Nuccio , G. De Pietro , R. de Sangro , M. Destefanis , S. Dey , A. De Yta-Hernandez , R. Dhamija , A. Di Canto , Z. Doležal , I. Domínguez Jiménez , T. V. Dong , M. Dorigo , D. Dossett , S. Dubey , G. Dujany , M. Eliachevitch , D. Epifanov , P. Feichtinger , D. Ferlewicz , T. Fillinger , S. Fiore , A. Fodor , F. Forti , B. G. Fulsom , A. Gabrielli , E. Ganiev , M. Garcia-Hernandez , V. Gaur , A. Gaz , R. Giordano , A. Giri , A. Glazov , R. Godang , P. Goldenzweig , B. Golob , W. Gradl , E. Graziani , D. Greenwald , T. Gu , Y. Guan , K. Gudkova , J. Guilliams , C. Hadjivasiliou , S. Halder , T. Hara , O. Hartbrich , K. Hayasaka , H. Hayashii , S. Hazra , I. Heredia de la Cruz , A. Hershenhorn , T. Higuchi , E. C. Hill , W. -S. Hou , C. -L. Hsu , T. Iijima , K. Inami , A. Ishikawa , M. Iwasaki , W. W. Jacobs , E. -J. Jang , Y. Jin , H. Junkerkalefeld , A. B. Kaliyar , K. H. Kang , R. Karl , G. Karyan , Y. Kato , C. Ketter , C. Kiesling , C. -H. Kim , D. Y. Kim , K. -H. Kim , Y. -K. Kim , K. Kinoshita , P. Kodyš , T. Koga , S. Kohani , S. Korpar , E. Kovalenko , T. M. G. Kraetzschmar , P. Križan , P. Krokovny , T. Kuhr , J. Kumar , M. Kumar , R. Kumar , K. Kumara , A. Kuzmin , Y. -J. Kwon , S. Lacaprara , Y. -T. Lai , C. La Licata , L. Lanceri , J. S. Lange , R. Leboucher , S. C. Lee , P. Leitl , J. Li , S. X. Li , L. Li Gioi , J. Libby , K. Lieret , Z. Liptak , Q. Y. Liu , D. Liventsev , S. Longo , T. Lueck , C. Lyu , M. Maggiora , R. Maiti , S. Maity , R. Manfredi , E. Manoni , S. Marcello , A. Martini , L. Massaccesi , M. Masuda , K. Matsuoka , D. Matvienko , J. A. McKenna , F. Meier , M. Merola , F. Metzner , M. Milesi , C. Miller , K. Miyabayashi , R. Mizuk , G. B. Mohanty , N. Molina-Gonzalez , H. -G. Moser , F. Mueller , C. Murphy , R. Mussa , K. R. Nakamura , T. Nakano , M. Nakao , M. Naruki , D. Narwal , A. Natochii , L. Nayak , M. Nayak , G. Nazaryan , N. K. Nisar , S. Nishida , K. Nishimura , Y. Onishchuk , H. Ono , P. Oskin , G. Pakhlova , A. Paladino , A. Panta , E. Paoloni , K. Parham , S. -H. Park , A. Passeri , A. Pathak , S. Patra , R. Pestotnik , L. E. Piilonen , T. Podobnik , S. Pokharel , L. Polat , C. Praz , S. Prell , E. Prencipe , M. T. Prim , H. Purwar , A. Rabusov , P. Rados , S. Raiz , S. Reiter , M. Remnev , I. Ripp-Baudot , G. Rizzo , L. B. Rizzuto , S. H. Robertson , M. Röhrken , J. M. Roney , A. Rostomyan , N. Rout , D. Sahoo , D. A. Sanders , S. Sandilya , L. Santelj , Y. Sato , V. Savinov , B. Scavino , G. Schnell , J. Schueler , A. J. Schwartz , Y. Seino , A. Selce , K. Senyo , M. E. Sevior , M. Shapkin , C. Sharma , T. Shillington , B. Shwartz , A. Sibidanov , F. Simon , J. B. Singh , A. Soffer , E. Solovieva , S. Spataro , B. Spruck , S. Stefkova , Z. S. Stottler , R. Stroili , K. Sumisawa , W. Sutcliffe , S. Y. Suzuki , M. Tabata , M. Takizawa , K. Tanida , F. Tenchini , R. Tiwary , D. Tonelli , E. Torassa , K. Trabelsi , M. Uchida , I. Ueda , T. Uglov , K. Uno , S. Uno , Y. Ushiroda , S. E. Vahsen , R. van Tonder , K. E. Varvell , A. Vinokurova , L. Vitale , H. M. Wakeling , E. Wang , M. -Z. Wang , X. L. Wang , A. Warburton , S. Watanuki , O. Werbycka , C. Wessel , E. Won , B. D. Yabsley , W. Yan , H. Ye , K. Yoshihara , Y. Yusa , L. Zani , Y. Zhai , Y. Zhang , V. Zhilich , Q. D. Zhou , X. Y. Zhou , V. I. Zhukova

The existence of the weak limit as n --> infinity of the uniform measure on rooted triangulations of the sphere with n vertices is proved. Some properties of the limit are studied. In particular, the limit is a probability measure on random…

Probability · Mathematics 2009-11-07 Omer Angel , Oded Schramm

The angles of all unitarity triangles of the Cabibbo-Kobayashi-Maskawa matrix are determined from the experimental data. Our analysis is independent of the parameterization of the CKM matrix and it is based on the predictions of the…

High Energy Physics - Phenomenology · Physics 2022-12-07 S. Rebeca Juárez Wysozka , Piotr Kielanowski , Liliana Vazquez Mercado

On behalf of the Babar and Belle collaborations, we report on the measurement of the angle gamma and on the sum of angles 2 beta+gamma of the Unitarity Triangle.

High Energy Physics - Experiment · Physics 2007-05-23 Jean-Pierre Lees

In this paper we study constant angle surfaces in Euclidean 3-space. Even that the result is a consequence of some classical results involving the Gauss map (of the surface), we give another approach to classify all surfaces for which the…

Differential Geometry · Mathematics 2009-07-01 Marian Ioan Munteanu , Ana Irina Nistor

In this presentation, I review the status of selected Cabibbo-Kobayashi-Maskawa (CKM) matrix elements and their role in the Unitarity Triangle (UT). Since this conference concluded, many new results have been finalized and are included in…

High Energy Physics - Phenomenology · Physics 2010-11-23 Helmut Marsiske

An overview of experimental determinations of different CKM elements is given with an emphasis on |Vub| and |Vcb| extraction. Measurements are compared to the Standard Model predictions and constraints on the unitarity triangle, arising…

High Energy Physics - Experiment · Physics 2008-11-26 B. Golob

The decay mode B -> rho pi is currently studied as a channel allowing, in principle, to measure without ambiguities the angle alpha of the unitarity triangle. It is also investigated by the CLEO Collaboration where a branching ratio larger…

High Energy Physics - Phenomenology · Physics 2010-11-23 A. Deandrea , R. Gatto , M. Ladisa , G. Nardulli , P. Santorelli

New representation of the odderon wave function is derived, which is convergent in the whole impact parameter plane and provides the analytic form of the quantization condition for the integral of motion q_3. A new quantum number, triality,…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. P. Korchemsky , J. Wosiek

We present here the update of the Unitarity Triangle (UT) analysis performed by the UTfit Collaboration within the Standard Model (SM) and beyond. Continuously updated flavour results contribute to improving the precision of several…

We study Ptolemy constant and uniformity constant in various plane domains including triangles, quadrilaterals and ellipses.

Metric Geometry · Mathematics 2021-02-05 Eero Harmaala , Riku Klén

We give some estimates of type sup*inf for equation of prescribed scalar curvature type in dimenion 3. As a consequence, we derive an uniqueness type result.

Analysis of PDEs · Mathematics 2011-03-02 Samy Skander Bahoura

The unitarity triangle can be determined by means of two measurements of its sides or angles. Assuming the same relative errors on the angles $(\alpha,\beta,\gamma)$ and the sides $(R_b,R_t)$, we find that the pairs $(\gamma,\beta)$ and…

High Energy Physics - Phenomenology · Physics 2010-11-23 Andrzej J. Buras , Fabrizio Parodi , Achille Stocchi

The role of the decay mode B->rho pi for the determination of the unitarity angle alpha is critically examined in view of the smaller than expected ratio B(B->rho+/- pi-/+)/B(B->rho0 pi+/-) found by the CLEO collaboration.

High Energy Physics - Phenomenology · Physics 2007-05-23 Aldo Deandrea

The main result of this paper, is the complete parametric description of the family of triangles which have integer sidelengths and with one angle being sixty degrees.

General Mathematics · Mathematics 2008-03-27 Konstantine Zelator

We approximate the uniform measure on an equilateral triangle by a measure supported on $n$ points. We find the optimal sets of points ($n$-means) and corresponding approximation (quantization) error for $n\leq4$, give numerical…

Information Theory · Computer Science 2017-02-16 Carl P. Dettmann , Mrinal Kanti Roychowdhury